Quantitative evaluation method and device for cooperative change condition of porosity and bending strength of porous ceramic, medium and product

Abstract

The invention discloses a quantitative evaluation method, equipment, medium and product for the collaborative change condition of porosity and bending strength of porous ceramics, and relates to the technical field of porous ceramic material performance evaluation.The method comprises the steps that performance parameters of a plurality of porous ceramic samples and dense ceramic samples are obtained respectively; according to the bending strength of the dense ceramic and the bending strength of the porous ceramic, calculating the bending strength logarithmic attenuation of each porous ceramic sample relative to the dense ceramic sample; dividing the bending strength logarithmic attenuation by the porosity to obtain a dimensionless evaluation factor for characterizing the synergism of the porosity and the bending strength of each porous ceramic sample; and quantitatively evaluating the collaborative optimization degree of each porous ceramic sample on porosity and bending strength by comparing the values of the dimensionless evaluation factors. According to the method system, the cooperative change condition of the porosity and the bending strength of the porous ceramic can be quantitatively evaluated, so that the controllable design and efficient iteration of the material performance are realized.

Description

Technical Field

[0001] This application relates to the field of performance evaluation technology for porous ceramic materials, and in particular to a quantitative evaluation method, equipment, medium, and product for the synergistic change of porosity and flexural strength in porous ceramics. Background Technology

[0002] Porous ceramics, due to their excellent high-temperature resistance, corrosion resistance, and high specific surface area, are widely regarded as ideal matrix materials for catalyst supports, filter elements, and thermal protection systems. However, the practical application of these materials has always been limited by the inherent strong negative correlation between high porosity and high strength: on the one hand, high porosity is a necessary condition to ensure catalytic reaction efficiency and gas permeability; on the other hand, the presence of pores directly weakens the load-bearing cross-section of the material, causing the flexural strength to decrease nonlinearly with increasing porosity, making it difficult to meet the reliability requirements of flexural strength for long-term service. Current mainstream preparation technologies, such as pore-forming agent methods, cryogenic casting, gel casting, and their composite processes, still face challenges in achieving ideal synergistic optimization of porosity and flexural strength. More critically, existing technologies generally lack quantitative characterization methods for the synergistic relationship between porosity and strength, leading to a high dependence on trial and error in the optimization process, resulting in long experimental cycles and high costs. Currently, existing evaluation methods mostly focus on predicting single performance indicators, lacking unified and quantifiable evaluation indicators specifically for the degree of synergistic improvement in porosity and flexural strength, making it difficult to effectively measure the actual optimization effect of different preparation processes on the core objective. Therefore, there is an urgent need in this field for a method system that can quantitatively evaluate the synergistic changes in porosity and flexural strength of porous ceramics, so as to achieve controllable design and efficient iteration of material properties. Summary of the Invention

[0003] The purpose of this application is to provide a method, equipment, medium, and product for quantitatively evaluating the synergistic changes in porosity and flexural strength of porous ceramics, which can quantitatively evaluate the synergistic changes in porosity and flexural strength of porous ceramics.

[0004] To achieve the above objectives, this application provides the following solution: Firstly, this application provides a quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics, including: Performance parameters of several porous ceramic samples and dense ceramic samples were obtained respectively; the performance parameters of the porous ceramic samples included: porosity and flexural strength; the performance parameters of the dense ceramic samples included: flexural strength. Based on the bending strength of the dense ceramic and the bending strength of the porous ceramic, calculate the logarithmic decrease in bending strength of each porous ceramic sample compared to the dense ceramic sample; By dividing the logarithmic decrease in flexural strength by the porosity, the logarithmic decrease in flexural strength caused by unit porosity for each porous ceramic sample is calculated, and a dimensionless evaluation factor characterizing the synergy between porosity and flexural strength for each porous ceramic sample is obtained. By comparing the values ​​of the dimensionless evaluation factor, that is, by comparing the magnitude of the logarithmic decrease in flexural strength caused by unit porosity, the degree of synergistic optimization of porosity and flexural strength of each porous ceramic sample is quantitatively evaluated.

[0005] Optionally, based on the flexural strength of the dense ceramic and the flexural strength of the porous ceramic, the formula for calculating the logarithmic decrease in flexural strength of each porous ceramic sample compared to the dense ceramic sample is as follows: σ =ln( ); in, σ σ represents the logarithmic decrease in flexural strength, σ0 represents the flexural strength of dense ceramics, and σ represents the flexural strength of porous ceramics.

[0006] Optionally, the preparation process for each of the porous ceramic samples is different; the quantitative evaluation of the degree of synergistic optimization of porosity and flexural strength for each of the porous ceramic samples by comparing the values ​​of dimensionless evaluation factors specifically includes: By comparing the values ​​of the dimensionless evaluation factors, the degree of synergistic optimization of the preparation process for each porous ceramic sample in terms of porosity and flexural strength is quantitatively evaluated.

[0007] Optionally, each porous ceramic sample and the dense ceramic sample use the same raw material powder chemical composition and ratio, the same type and amount of pore-forming agent, and the same sintering atmosphere; each porous ceramic sample and the dense ceramic sample are sintered at the same sintering temperature and holding time.

[0008] Optionally, the flexural strength is determined by the three-point bending method; the porosity is determined by the Archimedes drainage method.

[0009] Optionally, the preparation process of the porous ceramic sample includes: pore-forming agent method, freeze casting, gel casting and direct foaming method.

[0010] Optionally, the quantitative evaluation of the degree of synergistic optimization of porosity and flexural strength for each porous ceramic sample by comparing the values ​​of dimensionless evaluation factors, i.e., by comparing the magnitude of the logarithmic decrease in flexural strength caused by unit porosity, specifically includes: The porous ceramic sample with the smallest value of the dimensionless evaluation factor is the optimal porous ceramic sample.

[0011] In a second aspect, this application provides a computer device, including: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement a quantitative evaluation method for the synergistic change of porosity and flexural strength of porous ceramics as described above.

[0012] Thirdly, this application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements a quantitative evaluation method for the synergistic change of porosity and flexural strength of porous ceramics as described above.

[0013] Fourthly, this application provides a computer program product, including a computer program that, when executed by a processor, implements a quantitative evaluation method for the synergistic change of porosity and flexural strength of porous ceramics as described above.

[0014] According to the specific embodiments provided in this application, the following technical effects are disclosed: This application provides a method, apparatus, medium, and product for quantitatively evaluating the synergistic variation of porosity and flexural strength in porous ceramics. The method includes: acquiring performance parameters of several porous and dense ceramic samples; the performance parameters of the porous ceramic samples include porosity and flexural strength; the performance parameters of the dense ceramic samples include flexural strength; calculating the logarithmic decrease in flexural strength of each porous ceramic sample compared to the dense ceramic sample based on the flexural strength of the dense ceramic sample and the flexural strength of the porous ceramic sample; dividing the logarithmic decrease in flexural strength by the porosity to calculate the logarithmic decrease in flexural strength per unit porosity for each porous ceramic sample, thus obtaining a dimensionless evaluation factor characterizing the synergy between porosity and flexural strength for each porous ceramic sample; and quantitatively evaluating the degree of synergistic optimization of porosity and flexural strength for each porous ceramic sample by comparing the values ​​of the dimensionless evaluation factor, i.e., by comparing the magnitude of the logarithmic decrease in flexural strength per unit porosity. This application defines and calculates a dimensionless evaluation factor with clear physical meaning. By comparing the values ​​of the dimensionless evaluation factor for various porous ceramic samples, an objective and quantitative evaluation of the synergistic improvement in porosity and flexural strength can be achieved. This method effectively overcomes the shortcomings of existing technologies, such as single evaluation indicators, long experimental cycles, and lack of unified quantitative criteria, providing a direct decision-making basis for material design and process optimization. Attached Figure Description

[0015] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0016] Figure 1 This is an application environment diagram of a quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics according to an embodiment of this application.

[0017] Figure 2 This is a flowchart illustrating a quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics, as provided in Embodiment 1 of this application.

[0018] Figure 3 This is a flowchart illustrating a quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics, as provided in Embodiment 2 of this application.

[0019] Figure 4 This is a schematic diagram of the structure of a computer device provided in an embodiment of this application. Detailed Implementation

[0020] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0021] The core of this application lies in defining and calculating a dimensionless evaluation factor with a clear physical meaning. β By comparing different (but comparable) preparation processes β The value determines the porosity ( P ) and bending strength ( s This method provides an objective and quantitative evaluation of the degree of synergistic improvement. It effectively overcomes the shortcomings of existing technologies, such as single evaluation indicators, long experimental cycles, and lack of unified quantitative criteria, and provides a direct decision-making basis for material design and process optimization.

[0022] To make the above-mentioned objectives, features and advantages of this application more apparent and understandable, the application will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0023] The quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics provided in this application embodiment can be applied to, for example... Figure 1In the application environment shown, terminal 102 communicates with server 104 via a network. A data storage system can store the data that server 104 needs to process. The data storage system can be set up independently, integrated into server 104, or placed in the cloud or on another server.

[0024] The terminal 102 can be, but is not limited to, various desktop computers, laptops, smartphones, tablets, IoT devices, and portable wearable devices. IoT devices can include smart speakers, smart TVs, smart air conditioners, and smart in-vehicle devices. Portable wearable devices can include smartwatches, smart bracelets, and head-mounted devices. The server 104 can be implemented using a standalone server or a server cluster composed of multiple servers, or it can be a cloud server.

[0025] Example 1: This embodiment provides a quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics, which can be implemented by a computer program and run on a general-purpose computing platform. The method includes the following steps S1 to S4: S1. Obtain the performance parameters of several porous ceramic samples and dense ceramic samples respectively; the performance parameters of the porous ceramic samples include: porosity and flexural strength of porous ceramics; the performance parameters of the dense ceramic samples include: flexural strength of dense ceramics.

[0026] In this embodiment, the porous ceramic sample and the dense ceramic sample were prepared under comparable conditions, with the dense ceramic sample and at least one porous ceramic sample being used. Each porous ceramic sample and the dense ceramic sample used the same raw material powder chemical composition and ratio, the same type and amount of pore-forming agent, and the same sintering atmosphere; each porous ceramic sample and the dense ceramic sample were sintered at the same sintering temperature and holding time.

[0027] The porous structure of porous ceramics is formed by introducing pores into the matrix; therefore, the key to their preparation lies in the formation and control of the pore structure. Porous ceramic samples are obtained using various methods such as direct foaming, adding pore-forming agents, organic foam impregnation, sol-gel method, and freeze-drying. Simultaneously, dense ceramic samples are obtained under the same or comparable basic formulation (e.g., raw material powder) and key sintering process parameters (e.g., sintering temperature, holding time, sintering atmosphere).

[0028] The preparation process for each of the porous ceramic samples is different; the preparation process for the porous ceramic samples includes: pore-forming agent method, freeze casting, gel casting and direct foaming method.

[0029] The bending strength was determined using the three-point bending method. The three-point bending method was used for testing according to standard GB / T 1965-1996.

[0030] Porosity P The porosity of porous ceramic samples was determined by the Archimedes displacement method according to standard GB / T 1966-1996. The porosity was denoted as P (usually expressed as a percentage; for ease of calculation of the dimensionless factor β, this embodiment uniformly divides the percentage by 100 and takes the dimensionless decimal).

[0031] S2. Based on the bending strength of the dense ceramic and the bending strength of the porous ceramic, calculate the logarithmic decrease in bending strength of each porous ceramic sample compared to the dense ceramic sample.

[0032] The calculation formula is: σ =lnσ0-lnσ=ln( ); in, σ σ represents the logarithmic decrease in flexural strength, σ0 represents the flexural strength of dense ceramics, and σ represents the flexural strength of porous ceramics.

[0033] S3. By dividing the logarithmic decrease in flexural strength by the porosity, calculate the logarithmic decrease in flexural strength caused by unit porosity for each porous ceramic sample, and obtain the dimensionless evaluation factor characterizing the synergy between porosity and flexural strength for each porous ceramic sample.

[0034] The calculation formula is: ; in, β The dimensionless evaluation factor representing porous ceramic samples. P Porosity is expressed as a decimal.

[0035] S4. By comparing the values ​​of the dimensionless evaluation factors, that is, by comparing the magnitude of the logarithmic decrease in flexural strength caused by unit porosity, the degree of synergistic optimization of porosity and flexural strength of each porous ceramic sample is quantitatively evaluated.

[0036] This embodiment is based on the dimensionless evaluation factor. β The numerical values ​​were used to quantitatively evaluate the synergistic changes in porosity and flexural strength in the porous ceramic sample. β The smaller the value, the higher the porosity ( P ) and bending strength ( s The higher the degree of synergistic improvement, the better. Conversely, β The larger the value, the lower the degree of synergistic improvement. The porous ceramic sample corresponding to the smallest value of the dimensionless evaluation factor is the optimal porous ceramic sample.

[0037] Under comparable conditions, at least two porous ceramic samples prepared by different processes were obtained, and their dimensionless evaluation factors were calculated for each. The dimensionless evaluation factors were then compared. β The magnitude of the value is used to quantitatively evaluate the degree of synergistic optimization of each corresponding process in terms of porosity and flexural strength. β The smaller the value, the better the synergy of the process. Porous ceramic samples prepared under different process parameters were evaluated, and dimensionless evaluation factors were screened. β The smallest process is the optimal process.

[0038] Dimensionless evaluation factors β Explanation of the physical meaning: 1. Molecular part ( s =ln s 0-ln s =ln( The flexural strength of porous ceramics is characterized by the logarithmic decrease in flexural strength compared to dense ceramics. This value directly reflects the degree of flexural strength loss caused by the presence of pores. s The larger the value, the more severe the intensity decay.

[0039] 2. Denominator ( P ): Characterizes the porosity of porous ceramics.

[0040] 3. Dimensionless evaluation factors β : Characterizes the logarithmic decrease in flexural strength caused by unit porosity, i.e., the strength decrease rate caused by unit porosity.

[0041] 4. Principles of Collaborative Evaluation: Assuming there are two preparation processes (process A and process B), their synergy can be quantitatively determined through the following three typical cases: (1) Determination of strength retention under equal porosity: When the porosity of porous ceramic samples prepared by the two processes is similar (i.e.) P A ≈ P B If the strength attenuation rate of sample A is lower than that of sample B (i.e., ...), Then there is β A < β B This indicates that, under the premise of achieving similar porosity, the pore structure introduced by process A weakens the bending strength of the material to a lesser extent, thus its synergistic effect is better than that of process B.

[0042] (2) Determination of porosity increase under equal intensity attenuation: When the strength reduction of porous ceramic samples prepared by the two processes is similar (i.e.) If the porosity achievable by process A is higher than that of process B (i.e., ...), then... P A > P B Then there is β A < β B This indicates that when samples prepared by the two processes are subjected to the same strength loss, the sample prepared by process B has a higher porosity, and therefore its synergy is better than that of process A.

[0043] (3) Determination of ideal synergistic improvement: When the porosity of the porous ceramic sample prepared by process A is higher than that prepared by process B (i.e. P A > P B Meanwhile, the strength attenuation rate of the porous ceramic sample prepared by process A is lower than that of process B (i.e., ...). If it exists, then it exists. β A < β B This indicates that process A achieves a synergistic improvement effect of high porosity and high strength.

[0044] In conclusion, β The quantitative comprehensive value reflects the balance between porosity improvement and strength maintenance. β A smaller value indicates that while achieving high porosity, the strength loss is relatively smaller, meaning a higher degree of synergistic improvement in porosity and flexural strength. This factor is a dimensionless parameter, making the synergistic effects between materials or processes with different porosity levels and different base strengths comparable.

[0045] The method provided in this embodiment has the following significant advantages: 1. Quantitative evaluation: Provides a unified dimensionless factor with clear physical meaning. β As a quantitative indicator, it overcomes the limitations of single-indicator evaluation and qualitative comparison.

[0046] 2. Normalized evaluation: By introducing the logarithmic difference ln s 0-ln s As a normalized strength attenuation, it fundamentally eliminates the comparison barrier caused by the difference in intrinsic strength of materials.

[0047] 3. Highly scientific: Based on the intrinsic properties of materials (porosity) P Bending strength sThe evaluation factors are constructed using their logarithmic relationship and have clear physical meaning.

[0048] 4. Good operability: The required tests (Archimedes method for porosity measurement and three-point bending method for bending strength measurement) are all conventional standard methods for material characterization and are easy to implement.

[0049] 5. Efficient decision-making: through direct comparison β The value can be used to quickly screen out the preparation process that performs best in terms of the synergy between porosity and strength during the research and development stage, shorten the research and development cycle, and reduce the cost of trial and error.

[0050] 6. Universality and comparability: The dimensionless nature makes... β The value can be used to compare the synergistic effects of materials / processes with different base formulations or porosity ranges.

[0051] 7. Clear application orientation: It provides key quantitative design basis and optimization direction for developing "high porosity-high strength" ceramics that meet the specific application requirements of catalyst supports (requiring high surface area / porosity and sufficient strength), filter elements (requiring high flux / porosity and crush resistance), and thermal protection systems (requiring low thermal conductivity / porosity and structural strength).

[0052] The present application will be further described below with reference to other specific embodiments, but the scope of protection claimed in this application is not limited to the following embodiments. All embodiments were carried out under comparable conditions: the same high-purity α-Si3N4 powder (purity >98.0%, average particle size 0.5 μm, white powder state) was used; the same Y2O3-Al2O3 sintering aid was used (molar ratio Al2O3:Y2O3=3.3:1.0) was used; the same PMMA pore-forming agent was used (total addition of 30 wt%, including 15 wt% PMMA with a particle size of 10 μm and 15 wt% PMMA with a particle size of 20 μm) was used; the same powder mixing ratio (6 mm Al2O3 spheres:water:anhydrous ethanol=2.0:1.0:1.5) was used; the same molding process (dry pressing, pressure 20 MPa) and the same sintering atmosphere (N2) were used.

[0053] Example 2: Please refer to Figure 3 Basic implementation method: Step 1: Sample Preparation (1) Dense ceramic group: The uniformly mixed powder (excluding pore-forming agent PMMA) was placed in a graphite mold and sintered without pressure in a vacuum hot pressing sintering furnace at a sintering temperature of 1675°C for 1 hour in a N2 atmosphere to obtain dense Si3N4 ceramic with a theoretical porosity of <1%, which was then processed into 3×4×30 mm. 3 The bending strength test sample.

[0054] (2) Porous ceramic group A: 30wt% PMMA was added to the same powder as a pore-forming agent, 6wt% Y2O3-Al2O3 was added as a sintering aid, and 7wt% SiC was added as a reinforcing phase. After uniform mixing, the mixture was dry-pressed. The sintering temperature was 1675°C, the holding time was 1h, and the sintering atmosphere was N2 atmosphere to obtain porous Si3N4 ceramics, which were then processed into samples of the same size.

[0055] Step 2: Porosity determination: According to standard GB / T 1966-1996, the porosity of the porous ceramic sample prepared in step 1 was tested using the Archimedes' displacement method. After ultrasonic cleaning, the sample was completely dried, and the dry weight of the sample was measured using an analytical balance. m 1. Place the sample to be tested in deionized water and heat to boiling for 2 hours. After cooling to room temperature, weigh the buoyant weight of the sample. m 2 and wet weight m 3. The test result is the average of three tests conducted on the sample. The apparent porosity of the sample... P A for:

[0056] The calculation parameters for the apparent porosity of porous ceramics are shown in Table 1 below.

[0057] Table 1 Calculation parameters for apparent porosity of porous ceramics

[0058] Porosity measured P A =54.7% (average of 3 test results).

[0059] Step 3: Bending strength: According to standard GB / T 1965-1996, the dense ceramic prepared in step 1 was subjected to the three-point bending method. s 0 and porous ceramics s Bending strength tests were conducted. The sample size was 3×4×30 mm. 3 A rectangular cross-section bar was tested with a span of 20 mm and a loading rate of 0.5 mm / min. The test results were the average of three samples tested under the same preparation process. The formula for calculating the bending strength of the sample is as follows:

[0060] The calculation parameters for the bending strength of the samples are shown in Table 2 below.

[0061] Table 2 Calculation parameters of the bending strength of the samples

[0062] Flexural strength of dense silicon nitride ceramics was measured s 0 = 605 MPa (average of test results from 3 samples).

[0063] Flexural strength of porous silicon nitride ceramics measured s A =65.5 MPa (average of 3 test results).

[0064] Step 4: Calculate the dimensionless evaluation factor: Calculate the dimensionless evaluation factor according to the formula for calculating the dimensionless evaluation factor. β A .

[0065] .

[0066] Example 3: Process Comparison with Example 1 (Demonstrating Reduced Synergies): Step 1: Sample preparation (basic conditions same as in Example 1): Porous ceramic B: 30 wt% PMMA was added as a pore-forming agent, 3 wt% Y2O3-Al2O3 as a sintering aid, and 4 wt% SiC as a reinforcing phase to the same powder. After uniform mixing, it was dry-pressed into shape. The sintering temperature was 1650°C, the holding time was 2 h, and the sintering atmosphere was N2 atmosphere to obtain porous Si3N4 ceramic, which was then processed into samples of the same size.

[0067] Step 2: Porosity determination: Porosity measured P B =51.7% (average of 3 test results).

[0068] Step 3: Bending strength test: Measured bending strength s B =59.5 (average of the test results of 3 samples).

[0069] Step 3: Calculate the dimensionless evaluation factors β : .

[0070] Example 4: Process Comparison with Example 2 (Demonstrating Synergistic Deterioration): Step 1: Sample preparation (basic conditions same as in Example 1): Porous ceramic C: 30 wt% PMMA was added as a pore-forming agent, 6 wt% Y2O3-Al2O3 as a sintering aid, and 7 wt% SiC as a reinforcing phase to the same powder. After uniform mixing, it was dry-pressed into shape. The sintering temperature was 1650°C, the holding time was 2 h, and the sintering atmosphere was N2 atmosphere to obtain porous Si3N4 ceramic, which was then processed into samples of the same size.

[0071] Step 2: Porosity determination: Porosity measured P C =63.0% (average of 3 test results).

[0072] Step 3: Bending strength test: Measured bending strength s C =25.6 MPa (average of test results of 3 samples).

[0073] Step 3: Calculate the dimensionless evaluation factors β : .

[0074] Example 5: Process Comparison with Example 3 (Demonstrating Collaborative Improvement): Step 1: Sample preparation (basic conditions same as in Example 1): Porous ceramic D: 30 wt% PMMA was added as a pore-forming agent, 4 wt% Y2O3-Al2O3 as a sintering aid, and 9 wt% SiC as a reinforcing phase to the same powder. After uniform mixing, it was dry-pressed into shape. The sintering temperature was 1675°C, the holding time was 0.5 h, and the sintering atmosphere was N2 atmosphere to obtain porous Si3N4 ceramic, which was then processed into samples of the same size.

[0075] Step 2: Porosity determination: Porosity measured P D =60.7% (average of 3 test results).

[0076] Step 3: Bending strength test: Measured bending strength s D =61.4 MPa (average of test results of 3 samples).

[0077] Step 3: Calculate the dimensionless evaluation factors β : .

[0078] Example 6: Process Comparison with Example 4 (Demonstrating Synergistic Improvement): Step 1: Sample preparation (basic conditions same as in Example 1): Porous ceramic E: 30 wt% PMMA was added as a pore-forming agent, 6 wt% Y2O3-Al2O3 as a sintering aid, and 7 wt% SiC as a reinforcing phase to the same powder. After uniform mixing, it was dry-pressed into shape. The sintering temperature was 1700°C, the holding time was 1 h, and the sintering atmosphere was N2 atmosphere to obtain porous Si3N4 ceramic, which was then processed into samples of the same size.

[0079] Step 2: Porosity determination: Porosity measured P E =55.2% (average of 3 test results).

[0080] Step 3: Bending strength test: Measured bending strength s E =90.6 MPa (average of test results of 3 samples).

[0081] Step 3: Calculate the dimensionless evaluation factors β : .

[0082] Example 7: Process Comparison with Example 5 (Demonstrating Collaborative and Superior Improvement): Step 1: Sample preparation (basic conditions same as in Example 1): Porous ceramic F: 30 wt% PMMA was added as a pore-forming agent, 6 wt% Y2O3-Al2O3 as a sintering aid, and 7 wt% SiC as a reinforcing phase to the same powder. After uniform mixing, it was dry-pressed into shape. The sintering temperature was 1725°C, the holding time was 2 h, and the sintering atmosphere was N2 atmosphere to obtain porous Si3N4 ceramic, which was then processed into samples of the same size.

[0083] Step 2: Porosity determination: Porosity measured P F =44.0% (average of 3 test results).

[0084] Step 3: Bending strength test: Measured bending strength s F =172.4 MPa (average of test results of 3 samples).

[0085] Step 3: Calculate the dimensionless evaluation factors β : .

[0086] Collaboration evaluation and results analysis: The calculation results for different preparation processes are shown in Table 3 below.

[0087] Table 3 Calculation results under different preparation processes

[0088] Comparison of calculations under different processes revealed that: (1) Porous silicon nitride ceramics prepared by process B have low porosity ( P B < P A Under the condition that the intensity attenuation increases ( =2.3> =2.2), the strength loss caused by unit pore size increases, and the porosity and flexural strength decrease synergistically.

[0089] (2) Porous silicon nitride ceramics prepared by process C have high porosity ( P c > P A In the case of severe intensity decay ( ), =3.2> =2.2), the strength loss caused by unit pore size increases significantly, and the porosity and flexural strength deteriorate synergistically.

[0090] (3) Porous silicon nitride ceramics prepared by process D have high porosity ( P D > P A Under the condition that the intensity attenuation increases ( =2.3> =2.2), reducing the strength loss per unit pore size and synergistically improving porosity and flexural strength.

[0091] (4) Porous silicon nitride ceramics prepared by process E have high porosity ( P E > P A In the case of ), the intensity attenuation decreases ( =1.9< =2.2), the strength loss caused by unit pore size is significantly reduced, and the porosity and flexural strength are synergistically improved.

[0092] (5) Porous silicon nitride ceramics prepared by process F have high porosity ( P F < P A In the case of ), the intensity attenuation is greatly reduced ( =1.3> =2.2), the strength loss caused by unit pore size is greatly reduced, and the synergistic improvement of porosity and flexural strength is outstanding.

[0093] This method successfully quantifies the synergistic effect of "porosity-strength". By optimizing the sintering process, process B not only increases porosity but also improves flexural strength.

[0094] This embodiment provides a quantitative evaluation method for the synergistic improvement of porosity and flexural strength in porous ceramics, belonging to the technical field of performance evaluation of porous ceramic materials. Characteristic parameters such as porosity and flexural strength, which can characterize pore structure and mechanical properties, are collected and dimensionlessly processed to establish a dimensionless evaluation factor reflecting the synergistic relationship between porosity and strength. A comprehensive dimensionless evaluation index integrating porosity and strength characteristics is calculated, and the quantitative results are compared and analyzed to achieve a quantitative evaluation of the degree of synergy between porosity and flexural strength in porous ceramics. This invention overcomes the shortcomings of existing technologies where porosity and strength evaluation indicators are isolated and lack unified quantitative criteria. It provides a theoretical basis and engineering guidance for the performance optimization and reverse engineering of porous ceramic materials, and has significant value for application and promotion in fields such as high-performance catalyst supports and filter elements.

[0095] In one exemplary embodiment, a computer device is provided, which may be a server or a terminal, and its internal structure diagram may be as follows. Figure 4 As shown, this computer device includes a processor, memory, input / output (I / O) interfaces, and a communication interface. The processor, memory, and I / O interfaces are connected via a system bus, and the communication interface is also connected to the system bus via the I / O interfaces. The processor provides computational and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system, computer programs, and databases. The internal memory provides the environment for the operation of the operating system and computer programs stored in the non-volatile storage media. The I / O interfaces are used for exchanging information between the processor and external devices. The communication interface is used for communication with external terminals via a network connection. When the computer program is executed by the processor, it implements a quantitative evaluation method for the synergistic change of porosity and flexural strength in porous ceramics.

[0096] Those skilled in the art will understand that Figure 4 The structure shown is merely a block diagram of a portion of the structure related to the present application and does not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than those shown in the figure, or combine certain components, or have different component arrangements.

[0097] In one exemplary embodiment, a computer device is also provided, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps in the above-described method embodiments.

[0098] In one exemplary embodiment, a computer-readable storage medium is provided storing a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0099] In one exemplary embodiment, a computer program product is provided, including a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0100] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, data stored, data displayed, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties, and the collection, use and processing of the relevant data must comply with relevant regulations.

[0101] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments described above. Any references to memory, databases, or other media used in the embodiments provided in this application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM can take many forms, such as Static Random Access Memory (SRAM) or Dynamic Random Access Memory (DRAM).

[0102] The databases involved in the embodiments provided in this application may include at least one type of relational database and non-relational database. Non-relational databases may include, but are not limited to, blockchain-based distributed databases. The processors involved in the embodiments provided in this application may be general-purpose processors, central processing units, graphics processing units, digital signal processors, programmable logic devices, quantum computing-based data processing logic devices, etc., and are not limited to these.

[0103] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0104] This document uses specific examples to illustrate the principles and implementation methods of this application. The descriptions of the above embodiments are only for the purpose of helping to understand the methods and core ideas of this application. Furthermore, those skilled in the art will recognize that, based on the ideas of this application, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of this application.

Claims

1. A method for quantitatively evaluating a synergic change in porosity and bending strength of a porous ceramic, characterized by, The method comprises the following steps: respectively acquiring performance parameters of a plurality of porous ceramic samples and a dense ceramic sample; the performance parameters of the porous ceramic samples include porosity and porous ceramic bending strength; the performance parameters of the dense ceramic sample include dense ceramic bending strength; according to the dense ceramic bending strength and the porous ceramic bending strength, calculating a bending strength logarithmic decay amount of each of the porous ceramic samples compared with the dense ceramic sample; using the bending strength logarithmic decay amount divided by the porosity to obtain a dimensionless evaluation factor of each of the porous ceramic samples, which represents the porosity and bending strength synergy; quantitatively evaluating the degree of synergistic optimization of each of the porous ceramic samples in terms of porosity and bending strength by comparing the values of the dimensionless evaluation factor.

2. The method for quantitatively evaluating the synergic change in porosity and bending strength of a porous ceramic according to claim 1, characterized in that, The calculation formula of the bending strength logarithmic decay amount of each of the porous ceramic samples compared with the dense ceramic sample according to the dense ceramic bending strength and the porous ceramic bending strength is: σ = ln( ); wherein σ represents the logarithmic decrement of the bending strength, σ0represents the bending strength of the dense ceramic, and σ represents the bending strength of the porous ceramic.

3. The method for quantitatively evaluating the synergic change in porosity and bending strength of a porous ceramic according to claim 1, characterized by, The preparation processes of each of the porous ceramic samples are different; the quantitative evaluation of the degree of synergistic optimization of each of the porous ceramic samples in terms of porosity and bending strength by comparing the values of the dimensionless evaluation factor specifically comprises: The quantitative evaluation of the degree of synergistic optimization of the preparation process corresponding to each of the porous ceramic samples in terms of porosity and bending strength by comparing the values of the dimensionless evaluation factor.

4. The method for quantitatively evaluating the synergic change in porosity and bending strength of a porous ceramic according to claim 1, characterized by, Each of the porous ceramic samples and the dense ceramic sample use the same chemical composition and proportion of raw material powder, the same type and amount of pore-forming agent, and the same sintering atmosphere; Each of the porous ceramic samples and the dense ceramic sample are sintered at the same sintering temperature and holding time.

5. The method for quantitatively evaluating the synergic change in porosity and bending strength of a porous ceramic according to claim 1, characterized by, The bending strength is determined by the three-point bending method; the porosity is determined by the Archimedes drainage method.

6. The method for quantitatively evaluating the synergic change in porosity and bending strength of a porous ceramic according to claim 1, characterized by, The preparation process of the porous ceramic sample comprises a pore-forming agent method, freeze casting, gel casting, and direct foaming method.

7. The method for quantitatively evaluating the synergic change in porosity and bending strength of a porous ceramic according to claim 1, characterized by, The quantitative evaluation of the degree of synergistic optimization of each of the porous ceramic samples in terms of porosity and bending strength by comparing the values of the dimensionless evaluation factor specifically comprises: The porous ceramic sample corresponding to the minimum value of the dimensionless evaluation factor is the optimal porous ceramic sample.

8. A computer device comprising: The memory, the processor, and the computer program stored in the memory and capable of running on the processor, characterized in that the processor executes the computer program to implement the quantitative evaluation method of the synergistic change of the porosity and bending strength of the porous ceramic according to any one of claims 1-7.

9. A computer readable storage medium having stored thereon a computer program, characterized in that, The computer program is executed by the processor to implement the quantitative evaluation method of the synergistic change of the porosity and bending strength of the porous ceramic according to any one of claims 1-7.

10. A computer program product comprising a computer program, characterized in that, The computer program is executed by the processor to implement the quantitative evaluation method of the synergistic change of the porosity and bending strength of the porous ceramic according to any one of claims 1-7.

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