Method for determining additive coefficient of metal oxide

Abstract

The invention provides a method for determining an additive coefficient of a metal oxide, and relates to the technical field of design of inorganic fiber products. The determination method comprises the following steps: determining a first model corresponding to an additive coefficient of a metal oxide; the multiple metal oxides of the same type are processed according to the first model, a reference additive coefficient corresponding to each metal oxide is obtained, and the mole fractions of the multiple metal oxides of the same type are different; determining a change spectrum of the additive coefficients along with the molar fraction of the metal oxide according to the plurality of reference additive coefficients; the change spectrum is processed to obtain a second model, and the second model is used for determining the additive coefficient of the metal oxide. The determination method disclosed by the invention can predict the additive coefficient of the metal oxide in the glass fiber, especially the additive coefficient of TFe2O3 in the iron glass fiber, and provides theoretical support for component design and performance prediction of glass fiber products.

Description

Technical Field

[0001] The present disclosure relates to the technical field of inorganic fiber product design, and in particular, to a method for determining an additivity coefficient of a metal oxide. Background Art

[0002] With the rapid development of the market economy, glass fiber has become an indispensable raw material in the construction, transportation, electronics, electrical, chemical, metallurgy, environmental protection, national defense and other industries, and has broad application prospects.

[0003] Composition determines structure, and structure determines performance. Glass fiber components have a great influence on the performance of glass fiber products. Therefore, it is necessary to design glass fiber components. The addition method is independent of glass structure and can intuitively show the composition-performance relationship. When designing glass fiber products, it is necessary to clarify the additivity coefficient of metal oxides. However, there is currently a lack of prediction methods for the additivity coefficients of some components in glass fibers (for example, TFe2O3), which makes the prediction accuracy of glass fiber product performance low.

[0004] It should be noted that the information disclosed in the above background technology section is only used to enhance the understanding of the background of the present disclosure, and therefore may include information that does not constitute the prior art known to ordinary technicians in the field. Summary of the invention

[0005] In view of this, the present disclosure provides a method for determining the additivity coefficient of metal oxides, which can predict the additivity coefficient of metal oxides in glass fibers, especially the additivity coefficient of TFe2O3 in iron-based glass fibers, and provide theoretical support for the component design and performance prediction of glass fiber products.

[0006] According to one aspect of the present disclosure, there is provided a method for determining an additivity coefficient of a metal oxide, wherein the metal oxide is used to form a glass fiber, comprising:

[0007] Determining a first model corresponding to an additivity coefficient of the metal oxide;

[0008] Processing a plurality of metal oxides of the same type according to the first model to obtain a reference additivity coefficient corresponding to each metal oxide, wherein the plurality of metal oxides of the same type have different mole fractions;

[0009] Determining a graph of the variation of the additivity coefficient with the mole fraction of the metal oxide according to the plurality of reference additivity coefficients, wherein the graph of the variation of the additivity coefficient with the mole fraction of the metal oxide is used to characterize the relationship between the additivity coefficient corresponding to the metal oxide and the mole fraction of the metal oxide;

[0010] The additivity coefficient is processed as a function of the molar fraction of the metal oxide to obtain a second model, and the second model is used to determine the additivity coefficient of the metal oxide.

[0011] In an exemplary embodiment of the present disclosure, the additivity coefficient includes an additivity coefficient of density, and determining a first model corresponding to the additivity coefficient of the metal oxide includes:

[0012] The first model is determined according to the molar number of the metal oxide, the sum of the mass fractions of all oxides in the glass fiber, the density value of the glass fiber, and the sum of the product of the additivity coefficient of the density of each oxide other than the metal oxide in the glass fiber and the molar number.

[0013] In an exemplary embodiment of the present disclosure, the metal oxide is TFe2O3; the first model is:

[0014]

[0015] Among them, V Fe is the additivity coefficient of the density of TFe2O3; n Fe is the molar number of the TFe2O3; p is the sum of the mass fractions of all oxides in the glass fiber; ρ is the density value of the glass fiber; nV is the sum of the products of the additive coefficients of the densities of the oxides other than TFe2O3 in the glass fiber and the molar number.

[0016] In an exemplary embodiment of the present disclosure, the determination method further includes:

[0017] A graph showing the variation of the additivity coefficient of the metal oxide with the mole fraction of the alkali metal oxide and the alkaline earth metal oxide in the glass fiber;

[0018] The additivity coefficient is processed with the mole fraction of the metal oxide to obtain a second model, including:

[0019] Fitting the graph of the additivity coefficient of the density varying with the mole fraction of the metal oxide and the graph of the additivity coefficient of the metal oxide varying with the mole fraction of the alkali metal oxide and the alkaline earth metal oxide in the glass fiber to form a fitting curve;

[0020] The second model is determined according to the fitting curve.

[0021] In an exemplary embodiment of the present disclosure, the metal oxide is TFe2O3; when the molar fraction of TFe2O3 is greater than or equal to 3% and less than or equal to 5.6%, the second model is:

[0022]

[0023] Among them, V Fe is the additivity coefficient of the density of TFe2O3; is the molar fraction of TFe2O3.

[0024] In an exemplary embodiment of the present disclosure, the metal oxide is TFe2O3; when the molar fraction of TFe2O3 is greater than or equal to 5.6% and less than or equal to 7.17%, the second model is:

[0025] V Fe =43.4

[0026] Among them, V Fe is the additivity coefficient of the density of the TFe2O3.

[0027] In an exemplary embodiment of the present disclosure, the additivity coefficient includes an additivity coefficient of elastic modulus, and determining a first model corresponding to the additivity coefficient of the metal oxide includes:

[0028] The first model is determined according to the mole fraction of the metal oxide, the elastic modulus of the glass fiber, the sum of the mole fractions of all oxides in the glass fiber, and the sum of the products of the additivity coefficient of the elastic modulus of each oxide other than the metal oxide in the glass fiber and the mole fraction.

[0029] In an exemplary embodiment of the present disclosure, the metal oxide is TFe2O3; the first model is:

[0030]

[0031] in, is the additivity coefficient of the elastic modulus of TFe2O3; N Fe is the mole fraction of TFe2O3; E is the elastic modulus of the glass fiber; N2 is the sum of the mole fractions of all oxides in the glass fiber; It is the sum of the products of the additivity coefficient of the elastic modulus of each of the oxides except the TFe2O3 in the glass fiber and the molar fraction.

[0032] In an exemplary embodiment of the present disclosure, the metal oxide is TFe2O3, the additivity coefficient includes the additivity coefficient of the elastic modulus of TFe2O3; and the second model is:

[0033]

[0034] in, is the additivity coefficient of the elastic modulus of TFe2O3.

[0035] In an exemplary embodiment of the present disclosure, the molar fraction of the metal oxide is no more than 9%.

[0036] The method for determining the additivity coefficient of the metal oxide disclosed in the present invention can calculate the reference additivity coefficients corresponding to a plurality of metal oxides of the same type with different mole fractions through the first model, and generate a variation spectrum of the reference additivity coefficient with the mole fraction of the metal oxide, and then analyze and process the variation spectrum to obtain the second model. In the above process, by analyzing and processing the variation spectrum of the reference additivity coefficient calculated by the first model with the mole fraction of the metal oxide, the calculation model of the additivity coefficient is updated (the updated model is the second model), so that the calculation result of the additivity coefficient of the metal oxide in the glass fiber is more accurate, which helps to improve the accuracy of the performance prediction of the glass fiber product. At the same time, the second model makes up for the lack of prediction of the additivity coefficient of the metal oxide in the dry Fuxi method, and provides more theoretical basis for the raw material selection, component design and performance prediction of the glass fiber.

[0037] It is to be understood that the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the present disclosure. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] The accompanying drawings herein are incorporated into the specification and constitute a part of the specification, illustrate embodiments consistent with the present disclosure, and together with the specification are used to explain the principles of the present disclosure. Obviously, the accompanying drawings described below are only some embodiments of the present disclosure, and for ordinary technicians in this field, other accompanying drawings can be obtained based on these accompanying drawings without creative work.

[0039] Figure 1 The flowchart is a method for determining the additivity coefficient of metal oxides in an embodiment of the present disclosure.

[0040] Figure 2 Graph showing the additivity coefficient of TFe2O3 density versus TFe2O3 mole fraction in the embodiments of the present disclosure.

[0041] Figure 3 Graph showing the additivity coefficient of the elastic modulus of TFe2O3 in the disclosed embodiment as a function of the mole fraction of TFe2O3.

[0042] Figure 4 Graph showing the additivity coefficient of TFe2O3 density versus the mole fraction of alkali metal oxides and alkaline earth metal oxides in the embodiments of the present disclosure.

[0043] Figure 5Graph showing the variation of the additivity coefficient of the elastic modulus of TFe2O3 with the mole fraction of alkali metal oxide and alkaline earth metal oxide in the embodiments of the present disclosure.

[0044] Figure 6 Graph showing the variation of the additivity coefficient of TFe2O3 density with the sum of the molar fractions of TFe2O3, alkali metal oxides and alkaline earth metal oxides in the embodiments of the present disclosure. DETAILED DESCRIPTION

[0045] Example embodiments will now be described more fully with reference to the accompanying drawings. However, example embodiments can be implemented in a variety of forms and should not be construed as limited to the examples set forth herein; on the contrary, these embodiments are provided so that the present disclosure will be more comprehensive and complete, and the concepts of the example embodiments are fully conveyed to those skilled in the art. The described features, structures, or characteristics may be combined in one or more embodiments in any suitable manner. In the following description, many specific details are provided to provide a full understanding of the embodiments of the present disclosure. However, those skilled in the art will appreciate that the technical solutions of the present disclosure may be practiced while omitting one or more of the specific details, or other methods, steps, etc. may be adopted. In other cases, known technical solutions are not shown or described in detail to avoid obscuring various aspects of the present disclosure.

[0046] In addition, the accompanying drawings are only schematic illustrations of the present disclosure and are not necessarily drawn to scale. The same reference numerals in the figures represent the same or similar parts, and their repeated description will be omitted. Some of the block diagrams shown in the accompanying drawings are functional entities and do not necessarily correspond to physically or logically independent entities. These functional entities can be implemented in software form, or implemented in one or more hardware modules or integrated circuits, or implemented in different networks and / or processor devices and / or microcontroller devices.

[0047] The terms "the" and "said" are used to indicate the presence of one or more elements / components / etc.; the term "comprising" is used to indicate an open-ended inclusive meaning and means that there may be additional elements / components / etc. in addition to the listed elements / components / etc. The terms "first" and "second" are used only as labels and are not intended to limit the quantity of their objects.

[0048] Glass fibers mainly include conventional glass fibers and iron-based glass fibers. Conventional glass fibers have a lower iron content (the molar fraction of iron oxide is less than 0.1%), while the molar fraction of iron oxide in iron-based glass fibers is greater than 1%. Before designing glass fiber products, the performance of glass fiber products is usually predicted based on the components in the glass fibers and the corresponding additive coefficients of each component. However, since conventional glass fibers have a lower iron content, the effect of iron on glass fibers is usually not considered when predicting the performance of glass fiber products, resulting in a lack of prediction methods for the additive coefficients of iron components.

[0049] Based on this, the embodiment of the present disclosure provides a method for determining the additivity coefficient of a metal oxide, the metal oxide being used to form glass fiber, for example, the metal oxide may be an iron-based metal oxide, for example, it may be TFe2O3, of course, it may also be other types of metal oxides, which are not specifically limited here. Figure 1 As shown, the determination method may include steps S110 to S140, wherein:

[0050] Step S110, determining a first model corresponding to the additivity coefficient of the metal oxide.

[0051] Step S120, processing a plurality of the metal oxides of the same type according to the first model to obtain a reference additivity coefficient corresponding to each of the metal oxides, wherein the mole fractions of the plurality of the metal oxides of the same type are different.

[0052] Step S130, determining a graph of the additivity coefficient varying with the mole fraction of the metal oxide according to the plurality of reference additivity coefficients, wherein the graph of the additivity coefficient varying with the mole fraction of the metal oxide is used to characterize the relationship between the additivity coefficient corresponding to the metal oxide and the mole fraction of the metal oxide.

[0053] Step S140, processing the graph of the additivity coefficient changing with the mole fraction of the metal oxide to obtain a second model, wherein the second model is used to determine the additivity coefficient of the metal oxide.

[0054] The method for determining the additivity coefficient of the metal oxide disclosed in the present invention can calculate the reference additivity coefficients corresponding to a plurality of metal oxides of the same type with different mole fractions through a first model, and generate a variation spectrum of the reference additivity coefficient with the mole fraction of the metal oxide, and then analyze and process the variation spectrum to obtain a second model. In the above process, by analyzing and processing the variation spectrum of the reference additivity coefficient calculated by the first model with the mole fraction of the metal oxide, the calculation model of the additivity coefficient is updated (the updated model is the second model), so that the calculation result of the additivity coefficient of the metal oxide in the glass fiber is more accurate, which helps to improve the accuracy of the performance prediction of the glass fiber (for example, iron-based glass fiber) product. It can further help predict the density and elastic modulus of iron-based glass fiber, and then provide theoretical support for the selection of raw materials, component design and performance prediction of iron-based glass fiber.

[0055] The steps of the method for determining the additivity coefficient of the metal oxide in the embodiment of the present disclosure are described in detail below:

[0056] like Figure 1 As shown, in step S110, a first model corresponding to the additivity coefficient of the metal oxide is determined.

[0057] The additivity coefficient may include at least one of an additivity coefficient of density and an additivity coefficient of elastic modulus. In an exemplary embodiment of the present disclosure, an initial calculation model corresponding to the additivity coefficient of the metal oxide in the glass fiber may be determined based on the dry Foch method, and the initial calculation model may be used as the first model.

[0058] In an exemplary embodiment of the present disclosure, when the additivity coefficient includes the additivity coefficient of density, determining the first model corresponding to the additivity coefficient of the metal oxide may include: determining the first model based on the molar number of the metal oxide, the sum of the mass fractions of all oxides in the glass fiber, the density value of the glass fiber, and the sum of the products of the additivity coefficients of the densities of each oxide other than the metal oxide in the glass fiber and the molar number.

[0059] This article takes the metal oxide as TFe2O3 as an example to illustrate the implementation details of each step of the determination method disclosed in the present invention. For example, when the metal oxide is TFe2O3, the first model can be:

[0060]

[0061] Among them, V Fe is the additivity coefficient of the density of TFe2O3; n Fe is the number of moles of TFe2O3, in mol -1; p is the sum of the mass fractions of all oxides in the glass fiber, in %; ρ is the density of the glass fiber, in g·cm -3 ; nV is the sum of the products of the additivity coefficients of the densities of the oxides other than TFe2O3 in the glass fiber and the number of moles.

[0062] In an exemplary embodiment of the present disclosure, the first model can be determined based on the dry Foch method according to the additivity coefficient, mass fraction, molar number of the density of other components in the glass fiber and the density value of the glass fiber. For example, when the main components of the glass fiber include oxides such as SiO2, Al2O3, TFe2O3, TiO2, CaO, MgO, K2O, and Na2O, the first model can be determined by the following process:

[0063]

[0064] Where ρ is the density of glass fiber, in g·cm -3 ; Si is used to identify SiO2; Al is used to identify Al2O3; Fe is used to identify TFe2O3; Ti is used to identify TiO2; Ca is used to identify CaO; Mg is used to identify MgO; K is used to identify K2O; Na is used to identify Na2O; p i is the mass fraction of oxide, in %; n i is the number of moles of oxide, in mol -1 ; V i is the additivity coefficient of oxide density.

[0065] Multiply both sides of the equation by the denominator on the right side to get:

[0066] ρ(n Si V Si +n Al V Al +n Fe V Fe +n Ti V Ti +n Ca V Ca +n Mg V Mg +n K V K +n Na V Na )

[0067] =p Si +p Al +p Fe +p Ti +p Ca +p Mg +p K +pNa

[0068] Dividing ρ on both sides of the equation, we get:

[0069]

[0070] make:

[0071] p si +p Al +p Fe +p Ti +p Ca +p Mg +p K +p Na =p

[0072] n Si V Si +n Al V Al +n Ti V Ti +n Ca V Ca +n Mg V Mg +n K V K +n Na V Na =nV

[0073] but:

[0074]

[0075] Subtract nV from both sides of the equation to get:

[0076]

[0077] Divide both sides of the equation by n Fe , the additivity coefficient V of TFe2O3 density is obtained Fe :

[0078]

[0079] It should be noted that the calculation model for the additive coefficients of the densities of other oxides except TFe2O3 in glass fiber has been given in the Dry-Foch method. Therefore, it can be considered that the additive coefficients of the densities of other oxides except TFe2O3 in the above calculation process are all known.

[0080] In another exemplary embodiment of the present disclosure, when the additivity coefficient includes the additivity coefficient of the elastic modulus, determining the first model corresponding to the additivity coefficient of the metal oxide may include: determining the first model based on the mole fraction of the metal oxide, the elastic modulus of the glass fiber, the sum of the mole fractions of all oxides in the glass fiber, and the sum of the products of the additivity coefficients of the elastic moduli of each oxide other than the metal oxide in the glass fiber and the mole fraction.

[0081] Taking the metal oxide TFe2O3 as an example, the first model can be:

[0082]

[0083] in, is the additivity coefficient of the elastic modulus of TFe2O3; N Fe is the mole fraction of TFe2O3, in %; E is the elastic modulus of glass fiber, in kg·cm -2 ; N2 is the sum of the mole fractions of all oxides in the glass fiber, in %; It is the sum of the products of the additivity coefficient of the elastic modulus of each oxide other than TFe2O3 in the glass fiber and the mole fraction.

[0084] In the present disclosure, the first model can be determined based on the dry-Foch method according to the additivity coefficient of the elastic modulus of other components in the glass fiber, the mole fraction and the elastic modulus of the glass fiber. For example, when the main components of the glass fiber include oxides such as SiO2, Al2O3, TFe2O3, TiO2, CaO, MgO, K2O, and Na2O, the first model can be determined by the following process:

[0085]

[0086] Where E is the elastic modulus of iron-based glass fiber, in kg·cm -2 (kg cm -2 =9.8GPa); Si is used to identify SiO2; Al is used to identify Al2O3; Fe is used to identify TFe2O3; Ti is used to identify TiO2; Ca is used to identify CaO; Mg is used to identify MgO; K is used to identify K2O; Na is used to identify Na2O; is the additive coefficient of the elastic modulus of the oxide; N i is the mole fraction of oxide, in %.

[0087] Multiply both sides of the equation by the denominator on the right side of the formula to get:

[0088]

[0089] Move the items and get:

[0090]

[0091] but:

[0092]

[0093] Divide N on both sides of the equation Fe , the additivity coefficient of TFe2O3 elastic modulus is obtained

[0094]

[0095] It should be noted that the calculation model for the additive coefficient of the elastic modulus of other oxides in glass fiber except TFe2O3 has been given in the dry-Fuchs method. Therefore, it can be considered that the additive coefficient of the elastic modulus of other oxides except TFe2O3 in the above calculation process is known.

[0096] like Figure 1 As shown, in step S120, a plurality of metal oxides of the same type are processed according to the first model to obtain a reference additivity coefficient corresponding to each metal oxide, and the mole fractions of the plurality of metal oxides of the same type are different.

[0097] The first model can be used to calculate the additivity coefficients corresponding to the metal oxides in different glass fibers, and the calculated additivity coefficients are all used as reference additivity coefficients. It should be noted that the molar fractions of the metal oxides (for example, TFe2O3) in different glass fibers are different, and in order to improve the accuracy of the subsequently generated second model, as many samples as possible can be provided, that is, the additivity coefficients corresponding to the metal oxides in multiple different glass fibers can be calculated as much as possible.

[0098] It should be noted that when the additivity coefficient includes the additivity coefficient of density, the reference additivity coefficient regarding density can be calculated by formula (I); when the additivity coefficient includes the additivity coefficient of elastic modulus, the reference additivity coefficient regarding elastic modulus can be calculated by formula (II).

[0099] like Figure 1 As shown, in step S130, a graph of the additivity coefficient changing with the mole fraction of the metal oxide is determined based on the multiple reference additivity coefficients, and the graph of the additivity coefficient changing with the mole fraction of the metal oxide is used to characterize the relationship between the additivity coefficient corresponding to the metal oxide and the mole fraction of the metal oxide.

[0100] The graph of the variation of the additivity coefficient with the mole fraction of the metal oxide can be determined according to the mole fraction of the metal oxide in each glass fiber and the reference additivity coefficient corresponding to each metal oxide calculated in step S120. For example, the mole fraction of the metal oxide in each glass fiber and the reference additivity coefficient corresponding to each metal oxide calculated in step S120 can be input into a mapping software in the form of a table, and then the graph of the variation of the additivity coefficient with the mole fraction of the metal oxide can be output through the mapping software.

[0101] It should be noted that if the reference additivity coefficient is the additivity coefficient with respect to density, then the abscissa of the graph of the additivity coefficient versus the mole fraction of the metal oxide is the mole fraction of the metal oxide, and the ordinate is the reference additivity coefficient with respect to density, such as Figure 2 If the reference additivity coefficient is the additivity coefficient about the elastic modulus, then the abscissa of the graph of the additivity coefficient changing with the mole fraction of the metal oxide is the mole fraction of the metal oxide, and the ordinate is the reference additivity coefficient about the elastic modulus, such as Figure 3 shown.

[0102] like Figure 1 As shown, in step S140, the graph of the additivity coefficient changing with the mole fraction of the metal oxide is processed to obtain a second model, and the second model is used to determine the additivity coefficient of the metal oxide.

[0103] Please continue to see Figure 2 As shown, when the additivity coefficient includes the additivity coefficient of density, the additivity coefficient of density first decreases rapidly and then decreases slowly with the increase of the mole fraction of the metal oxide, and when the mole fraction of the metal oxide is greater than 5.6%, the additivity coefficient of the metal oxide with respect to the density is a constant.

[0104] The discrete points in the graph of the additivity coefficient of density varying with the mole fraction of metal oxide can be fitted to form a variation curve of the additivity coefficient of density varying with the mole fraction of metal oxide. The mathematical model of the variation curve can be obtained by calculation, that is, the functional relationship between the additivity coefficient of density of metal oxide and the mole fraction of metal oxide can be obtained by calculation, and the functional relationship can be used as the second model of the present disclosure.

[0105] Through research, it is found that the molar fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) in glass fiber also has a certain influence on the additivity coefficient of metal oxide (for example, TFe2O3). In order to improve the accuracy of the second model in the present disclosure, when alkali metal oxide (R2O) and alkaline earth metal oxide (RO) are contained in the glass fiber, the method for determining the additivity coefficient of the metal oxide in the present disclosure also includes:

[0106] Step S150, forming a graph showing how the additivity coefficient of the metal oxide (eg, TFe2O3) varies with the mole fractions of the alkali metal oxide and the alkaline earth metal oxide in the glass fiber.

[0107] It should be noted that if the additivity coefficient is the additivity coefficient with respect to density, then the abscissa of the graph of the additivity coefficient changing with the mole fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) in the glass fiber is the mole fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) in the glass fiber, and the ordinate is the reference additivity coefficient with respect to the density of the metal oxide, such as Figure 4 If the additivity coefficient is the additivity coefficient about the elastic modulus, then the abscissa of the graph of the additivity coefficient changing with the mole fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) in the glass fiber is the mole fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) in the glass fiber, and the ordinate is the reference additivity coefficient about the elastic modulus of the metal oxide, such as Figure 5 As shown. Figure 2 and Figure 4 It can be seen that the variation trend of the additivity coefficient of density with the mole fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) in the glass fiber is similar to the variation trend of the additivity coefficient of density with the mole fraction of metal oxide.

[0108] The graph of the additivity coefficient of metal oxides varying with the mole fraction of alkali metal oxides (R2O) and alkaline earth metal oxides (RO) in the glass fiber can be superimposed with the graph of the additivity coefficient of density varying with the mole fraction of metal oxides, and then each discrete point in the superimposed graph is fitted to form a fitting curve of the additivity coefficient of the density of metal oxides varying with the sum of the mole fractions of metal oxides, alkali metal oxides (R2O) and alkaline earth metal oxides (RO), as shown in FIG. Figure 6 As shown, the mathematical model of the fitting curve can be obtained by calculation, that is, the functional relationship between the additive coefficient of density and the sum of the molar fractions of metal oxides, alkali metal oxides (R2O) and alkaline earth metal oxides (RO) can be obtained by calculation, and this functional relationship can be used as a second model for the additive coefficient of density.

[0109] In an exemplary embodiment of the present disclosure, the second model of the additivity coefficient of density can be obtained by calculation as follows:

[0110]

[0111] Among them, V Fe is the additivity coefficient of the density of TFe2O3; is the molar fraction of TFe2O3, in %.

[0112] It should be noted that through Figure 2 and Figure 4 It can be seen that the above formula (III) is applicable to the case where the molar fraction of TFe2O3 is greater than or equal to 3% and less than or equal to 5.6%, and when the molar fraction of TFe2O3 is greater than or equal to 5.6%, the additivity coefficient with respect to density is a constant 43.4, that is:

[0113] When the molar fraction of TFe2O3 is greater than or equal to 5.6% and less than or equal to 7.17%, the second model is:

[0114] V Fe =43.4

[0115] Among them, V Fe is the additivity coefficient of the density of the TFe2O3.

[0116] In an exemplary embodiment of the present disclosure, when the additivity coefficient includes the additivity coefficient of the elastic modulus, according to Figure 3 and Figure 5 It can be seen that there is no obvious regularity between the additivity coefficient of elastic modulus and the molar fraction of metal oxides. However, within the scope of the studied system (i.e., the molar fraction of TFe2O3 is not greater than 9%), the additivity coefficient of elastic modulus of TFe2O3 is All concentrated at -63.0011kg / cm 2 ~15.4591kg / cm 2 Excluding the two data with large discreteness of -63.011 and 15.4591, the additive coefficient of the elastic modulus of TFe2O3 The range is -44.57kg / cm 2 ~5.1047kg / cm 2 The additivity coefficient of the elastic modulus can be determined by taking the value within this range for calculation and using trial and error. About -19.00kg / cm 2 When the error is within -10% to 10%, the proportion of components in the studied system is the highest.

[0117] In the present disclosure, the relationship between the additive coefficient of elastic modulus and the molar fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO) is also studied by the same method as the relationship between the additive coefficient of density and the molar fraction of alkali metal oxide (R2O) and alkaline earth metal oxide (RO). The results show that when the molar fraction of metal oxide is not more than 9%, the additive coefficient of elastic modulus of metal oxide is That is, when the molar fraction of the metal oxide is not greater than 9%, the second model corresponding to the additive coefficient of the elastic modulus of TFe2O3 is:

[0118]

[0119] in, is the additivity coefficient of the elastic modulus of TFe2O3.

[0120] In the present disclosure, the accuracy of the calculation results of the calculation model of the additivity coefficient of density (i.e., the second model) is verified through multiple examples. It should be noted that, for the convenience of calculation, the mole fraction is used as the calculation basis, and the following examples 1 to 8 are implemented. Specifically, as shown in Table 1:

[0121] Table 1

[0122]

[0123] It should be noted that the comparison values ​​in Table 1 are the actual densities of the glass fibers corresponding to the embodiments. The predicted values ​​are the densities corresponding to the glass fibers calculated according to the dry Fuxi method. The dry Fuxi method has provided a calculation method for calculating the additivity coefficients of the densities corresponding to the components other than TFe2O3. The second model finally obtained in the present disclosure makes up for the lack of a calculation model for the additivity coefficients of the densities of the iron-based components in the dry Fuxi method, and provides theoretical support for the selection of raw materials, component design and performance prediction of iron-based glass fibers. And according to Table 1, it can be seen that the error between the density calculated by substituting the second model corresponding to the additivity coefficients of the density of the metal oxide (e.g., TFe2O3) in the present disclosure into the dry Fuxi method and the comparison value is less than 1%. Therefore, it can be judged that the calculation accuracy of the second model for the additivity coefficients of the density of the metal oxide finally obtained in the embodiment of the present disclosure is high, which can be used for the component design and performance prediction of glass fiber products, and can provide theoretical support for the component design and performance prediction of glass fiber products.

[0124] In the present disclosure, the accuracy of the calculation results of the calculation model of the additivity coefficient of the elastic modulus (i.e., the second model) is verified through multiple examples. It should be noted that, for the convenience of calculation, the mole fraction is used as the calculation basis, and the following examples 9 to 17 are implemented. Specifically, as shown in Table 2:

[0125] Table 2

[0126]

[0127] It should be noted that the comparison values ​​in Table 2 are the actual elastic moduli of the glass fibers corresponding to the embodiments. The predicted values ​​are the elastic moduli corresponding to the glass fibers calculated according to the dry Fuchs method. The dry Fuchs method has provided a calculation method for the additivity coefficient of the elastic moduli corresponding to the components other than TFe2O3. The second model finally obtained in the present disclosure makes up for the lack of a calculation model for the additivity coefficient of the elastic modulus of the iron-based components in the dry Fuchs method, and provides theoretical support for the raw material selection, component design and performance prediction of the iron-based glass fibers.

[0128] And according to Table 2, it can be seen that the error between the elastic modulus calculated by substituting the second model corresponding to the additivity coefficient of the elastic modulus of the metal oxide (e.g., TFe2O3) in the present disclosure into the dry-Foch method and the comparison value is less than 10%. Therefore, it can be judged that the calculation accuracy of the second model of the additivity coefficient of the elastic modulus finally obtained in the embodiment of the present disclosure is high, which can be used for the component design and performance prediction of glass fiber products, and can provide theoretical support for the component design and performance prediction of glass fiber products.

[0129] It should be noted that in the process of calculating the predicted values ​​in Tables 1 and 2, the additivity coefficients of density and elastic modulus corresponding to other components except TFe2O3 can be calculated according to the calculation method of the additivity coefficients of each oxide given in the Gan Fuxi method. The specific calculation results are shown in Table 3:

[0130] Table 3

[0131]

[0132] The additivity coefficients of SiO2, Al2O3 and TiO2 in Table 3 are related to their molar fractions, which can be calculated based on the dry Foch method and the molar fractions of the corresponding oxides. The specific calculation process will not be described in detail here.

[0133] It should be noted that, although the steps of the method for determining the additivity coefficient of metal oxides in the present disclosure are described in a specific order in the accompanying drawings, this does not require or imply that the steps must be performed in this specific order, or that all the steps shown must be performed to achieve the desired results. Additionally or alternatively, some steps may be omitted, multiple steps may be combined into one step, and / or one step may be decomposed into multiple steps, etc.

[0134] Those skilled in the art will readily appreciate other embodiments of the present disclosure after considering the specification and practicing the invention disclosed herein. This application is intended to cover any modification, use or adaptation of the present disclosure, which follows the general principles of the present disclosure and includes common knowledge or customary techniques in the art that are not disclosed in the present disclosure. The specification and examples are intended to be exemplary only, and the true scope and spirit of the present disclosure are indicated by the appended claims.

Claims

1. A method for determining an additivity coefficient of a metal oxide, wherein the metal oxide is used to form a glass fiber, characterized in that: include: Determining a first model corresponding to an additivity coefficient of the metal oxide; Processing a plurality of metal oxides of the same type according to the first model to obtain a reference additivity coefficient corresponding to each metal oxide, wherein the plurality of metal oxides of the same type have different mole fractions; Determining a graph of the variation of the additivity coefficient with the mole fraction of the metal oxide according to the plurality of reference additivity coefficients, wherein the graph of the variation of the additivity coefficient with the mole fraction of the metal oxide is used to characterize the relationship between the additivity coefficient corresponding to the metal oxide and the mole fraction of the metal oxide; The additivity coefficient is processed as a function of the molar fraction of the metal oxide to obtain a second model, and the second model is used to determine the additivity coefficient of the metal oxide.

2. The determination method according to claim 1, characterized in that: The additivity coefficient includes an additivity coefficient of density, and the first model corresponding to the additivity coefficient of the metal oxide is determined to include: The first model is determined according to the molar number of the metal oxide, the sum of the mass fractions of all oxides in the glass fiber, the density value of the glass fiber, and the sum of the product of the additivity coefficient of the density of each oxide other than the metal oxide in the glass fiber and the molar number.

3. The determination method according to claim 2, characterized in that: The metal oxide is TFe2O3; the first model is: Among them, V Fe is the additivity coefficient of the density of TFe2O3; n Fe is the molar number of the TFe2O3; p is the sum of the mass fractions of all oxides in the glass fiber; ρ is the density value of the glass fiber; nV is the sum of the products of the additive coefficients of the densities of the oxides other than TFe2O3 in the glass fiber and the molar number.

4. The determination method according to claim 2, characterized in that: The determination method further comprises: A graph showing the variation of the additivity coefficient of the metal oxide with the mole fraction of the alkali metal oxide and the alkaline earth metal oxide in the glass fiber; The additivity coefficient is processed with the mole fraction of the metal oxide to obtain a second model, including: Fitting the graph of the additivity coefficient of the density varying with the mole fraction of the metal oxide and the graph of the additivity coefficient of the metal oxide varying with the mole fraction of the alkali metal oxide and the alkaline earth metal oxide in the glass fiber to form a fitting curve; The second model is determined according to the fitting curve.

5. The determination method according to any one of claims 1 to 4, characterized in that: The metal oxide is TFe2O3; when the molar fraction of TFe2O3 is greater than or equal to 3% and less than or equal to 5.6%, the second model is: Among them, V F e is the additivity coefficient of the density of the TFe2O3; is the molar fraction of TFe2O3.

6. The determination method according to any one of claims 1 to 4, characterized in that: The metal oxide is TFe2O3; when the molar fraction of TFe2O3 is greater than or equal to 5.6% and less than or equal to 7.17%, the second model is: V Fe ＝43.4 Among them, V Fe is the additivity coefficient of the density of the TFe2O3.

7. The determination method according to claim 1, characterized in that: The additivity coefficient includes an additivity coefficient of elastic modulus, and the first model corresponding to the additivity coefficient of the metal oxide includes: The first model is determined according to the mole fraction of the metal oxide, the elastic modulus of the glass fiber, the sum of the mole fractions of all oxides in the glass fiber, and the sum of the products of the additivity coefficient of the elastic modulus of each oxide other than the metal oxide in the glass fiber and the mole fraction.

8. The determination method according to claim 7, characterized in that: The metal oxide is TFe2O3; the first model is: in, is the additivity coefficient of the elastic modulus of TFe2O3; N Fe is the mole fraction of TFe2O3; E is the elastic modulus of the glass fiber; N2 is the sum of the mole fractions of all oxides in the glass fiber; It is the sum of the products of the additivity coefficient of the elastic modulus of each of the oxides except the TFe2O3 in the glass fiber and the molar fraction.

9. The determination method according to any one of claims 1, 7 or 8, characterized in that: The metal oxide is TFe2O3, the additivity coefficient includes the additivity coefficient of the elastic modulus of TFe2O3; the second model is: in, is the additivity coefficient of the elastic modulus of TFe2O3.

10. The determination method according to claim 9, characterized in that: The molar fraction of the metal oxide is not greater than 9%.

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