Starch and biological fiber composite wood-plastic floor and preparation method thereof
By using starch and biofiber composite materials in wood-plastic floors, and using multi-stage mixing and comprehensive inspection methods, the problems of poor mechanical properties and wear resistance of wood-plastic floors are solved, production quality and inspection accuracy are improved, and high-performance, environmentally friendly and economical wood-plastic floor products are achieved.
Patent Information
- Application Number
- CN202411873768.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-19
- Publication Date
- 2025-03-07
AI Technical Summary
Existing wood-plastic floors have poor mechanical properties and wear resistance, and are prone to scratches. Many impurities during raw materials are treated, resulting in a decrease in production quality. The inspection can only be used for appearance inspection and cannot fully detect the internal structure.
The wood-plastic flooring that uses starch and biofiber composite type is used to improve the thermal stability, anti-aging and wear resistance of the material through specific composition ratios and preparation methods, including multi-stage mixing and testing steps, and conduct comprehensive inspection.
It improves the impact resistance and scratch resistance of wood-plastic floors, extends the service life, enhances production quality and inspection accuracy, and has environmentally friendly materials, low cost, and has good market prospects.
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Figure CN119570280A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of wood plastic flooring, in particular to a starch and biofiber composite wood plastic flooring and a preparation method thereof. Background Art
[0002] With the increasing demand for sustainable and environmentally friendly materials, starch, as a low-cost, easily available and non-toxic biomass resource, has been widely studied as a substitute for synthetic plastics. Biofiber is also a renewable resource. Due to its high specific surface area and high strength, it is considered to be an important raw material for preparing bio-based composite materials. Biofiber is incorporated into a starch matrix to develop a biocomposite material with improved performance while retaining its renewable and biodegradable properties. This composite material can use the three-dimensional structure of plant fibers to form a supporting skeleton, connect the continuous phase matrix, and form a structural reinforcement material. After that, the composite material is evenly mixed with thermoplastic polymer materials and processing aids, and then heated and extruded by equipment to form a new type of floor. The existing wood-plastic floor has the advantages of being waterproof, moisture-proof and preventing expansion and deformation, but its floor has poor mechanical resistance and wear resistance and is prone to scratches. Therefore, in the production process of wood-plastic floor, starch and biofiber composite wood-plastic floor and its preparation method are needed.
[0003] The inventors found that there are at least the following problems in the prior art that have not been solved: 1. The existing wood-plastic floor has the advantages of being waterproof, moisture-proof and preventing expansion and deformation, but the floor has poor mechanical resistance and wear resistance and is prone to scratches; 2. When processing the raw materials, all the raw materials are mixed and kneaded, which leads to a large number of impurities in the raw materials, reducing the production quality of the wood-plastic floor; 3. After the wood-plastic floor is produced, only the appearance of the floor can be inspected, and the inside of the floor cannot be inspected, thereby reducing the accuracy and comprehensiveness of the inspection of the wood-plastic floor. To this end, the present invention designs a starch and biofiber composite wood-plastic floor and a preparation method thereof. Summary of the invention
[0004] The purpose of the present invention is to provide a starch and biofiber composite wood plastic floor and a preparation method thereof, so as to solve the problems that the existing wood plastic floor proposed in the above background technology has the advantages of being waterproof, moisture-proof and preventing expansion and deformation, but the floor has poor mechanical resistance and wear resistance and is prone to scratches. It is also inconvenient to mix and knead all the raw materials when processing the raw materials, which leads to a large number of impurities in the raw materials, reducing the production quality of the wood plastic floor. Moreover, after the wood plastic floor is produced, only the appearance of the floor can be inspected, and the interior of the floor cannot be inspected, thereby reducing the accuracy and comprehensiveness of the inspection of the wood plastic floor. To this end, the present invention designs a starch and biofiber composite wood plastic floor and a preparation method thereof.
[0005] To achieve the above object, the present invention provides the following technical solution: a starch and biofiber composite wood plastic floor, the components of which are:
[0006] Polyethylene acid resin: 15-25 parts;
[0007] Biofiber: 30-40 parts;
[0008] Chopped glass fiber: 20-35 parts;
[0009] Starch: 20-35 parts;
[0010] Antioxidants: 2-3 parts;
[0011] Light stabilizer: 3-4 parts;
[0012] Plasticizer: 2-4 parts.
[0013] Preferably, the proportions of the components of the wood-plastic base plate A are: polyvinyl acid resin: 25 parts, biofiber: 30 parts, chopped glass fiber: 20 parts, starch: 20 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
[0014] Preferably, the proportions of the components of the wood-plastic base plate B are: polyvinyl acid resin: 15 parts, biofiber: 35 parts, chopped glass fiber: 25 parts, starch: 25 parts, antioxidant: 3 parts, light stabilizer: 4 parts, and plasticizer: 3 parts.
[0015] Preferably, the proportions of the components of the wood-plastic base plate C are: polyvinyl acid resin: 15 parts, biofiber: 40 parts, chopped glass fiber: 30 parts, starch: 30 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
[0016] Preferably, the biological fiber is a combination of wood fiber, bamboo fiber, chitosan fiber and alginate fiber.
[0017] Preferably, the light stabilizer is a light absorber and a hindered amine light stabilizer in a 1:1 ratio.
[0018] A method for preparing a starch and biofiber composite wood plastic floor, based on the starch and biofiber composite wood plastic floor according to any one of claims 1 to 6, characterized in that it comprises the following steps:
[0019] S1. Prepare raw materials
[0020] 1. Material determination: ① determine the type, ② determine the number of copies, 2. Material pretreatment: ① material cleaning, ② material drying, 3. Material delivery;
[0021] S2. Material processing
[0022] 1. Material crushing, crushing by a crusher, 2. Material mixing, ① temperature 125-155 degrees Celsius, speed 600-800 rpm, time 20-40 minutes, 3. Material refining, using a refining mixer, ① temperature 125-135 degrees Celsius, ② time 20-30 minutes;
[0023] S3, wooden board shaping
[0024] 1. Rolling of the mixture, ① five-roll calender, ② roller temperature 110-180 degrees Celsius, 2. Plasticization and thickness setting of the wood board, ① cooling by cooling roller, ② heat exchange by heat exchange tube;
[0025] S4. Finished product inspection
[0026] 1. Appearance inspection, ① size inspection, ② defect inspection, 2. Structural inspection, ① X-ray detector, ② knocking inspection, 3. Chemical composition inspection, ① X-ray photoelectron spectroscopy, ② gas chromatography-mass spectrometry
[0027] Preferably, the production capacity of the internal mixer is calculated by a formula Q=t / V*c*n*Δt.
[0028] Preferably, in the calculation formula of the production capacity of the internal mixer, Q represents the theoretical production capacity, the unit is usually kg / h, V is the actual volume of the internal mixer, the unit is l, c is the filling coefficient of the material in the internal mixer, the value is usually 0.4 to 0.65, n is the rotation speed of the internal mixer, the unit is r / min, Δt is the time of each internal mixing, the unit is min, and t is the production cycle, the unit is min.
[0029] Preferably, the calendering force calculation formula of the five-roll calender is F=P / (S*D), wherein P is pressure, S is calendering area, and D is roller gap.
[0030] Compared with the prior art, the present invention has the following beneficial effects:
[0031] Before the start of work, the staff of the present invention purchases 25 parts of polyvinyl acid resin, 30 parts of biological fiber, 20 parts of chopped glass fiber, 20 parts of starch, 2 parts of antioxidant, 3 parts of light stabilizer and 2 parts of plasticizer, then washes the materials, and dries the materials with a dryer, thereby reducing the subsequent influence on material processing, and then produces the wood plastic floor material with excellent thermal stability, anti-aging performance and wear resistance, while enhancing impact resistance, and the surface of the produced wood plastic floor is scratch-resistant, has a long service life, is green and environmentally friendly, the raw materials are easy to obtain and the cost is low, the production process is simple, and the market prospect is good.
[0032] The invention firstly puts 30 parts of biological fiber and 20 parts of chopped glass fiber into a pulverizer to obtain a mixture 1, then puts 25 parts of polyvinyl acid resin, 20 parts of starch, 2 parts of antioxidant, 3 parts of light stabilizer, 2 parts of plasticizer and the mixture 1 into a high-speed stirrer, stirs at a high speed of 600 revolutions per minute at 130°C for 20 minutes to obtain a mixture 2, then puts the mixture 2 into an internal mixer, and internally mixes at 125°C for 20 minutes to obtain a mixture 3, thereby performing multi-stage mixing treatment on the raw materials, making the raw material treatment more meticulous and improving the quality of subsequent production of wood plastic flooring.
[0033] The present invention randomly selects samples of the floor for inspection, uses appearance defect inspection equipment to inspect the size and outer tube defects of the floor, and determines whether the appearance of the floor meets the requirements, then uses an X-ray detector to inspect the internal structure of the floor to determine whether the internal structure is uniform, and then uses knocking detection to conveniently determine whether there are gaps inside the floor, and then uses X-ray photoelectron spectroscopy to analyze the chemical elements on the surface of the floor, and then uses gas chromatography-mass spectrometry to detect and quantify organic compounds in the floor to determine whether the floor contains harmful substances, so that the floor is comprehensively inspected, and the accuracy and comprehensiveness of the floor inspection are improved. BRIEF DESCRIPTION OF THE DRAWINGS
[0034] Figure 1 It is the weight composition diagram of each component of the present invention;
[0035] Figure 2 This is a flow chart of the wood plastic flooring of the present invention;
[0036] Figure 3 It is a debugging code diagram of the internal mixer of the present invention;
[0037] Figure 4 It is the operation code diagram of the internal mixer of the present invention. DETAILED DESCRIPTION
[0038] The technical solutions in the embodiments of the present invention are described clearly and completely below. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0039] See also Figure 1-4 The present invention provides a technical solution: a starch and biofiber composite wood plastic floor.
[0040] Embodiment 1:
[0041] The components are:
[0042] Polyethylene acid resin: 15-25 parts;
[0043] Biofiber: 30-40 parts;
[0044] Chopped glass fiber: 20-35 parts;
[0045] Starch: 20-35 parts;
[0046] Antioxidants: 2-3 parts;
[0047] Light stabilizer: 3-4 parts;
[0048] Plasticizer: 2-4 parts.
[0049] In this embodiment, the proportions of the components of the wood-plastic base plate A are: polyvinyl acid resin: 25 parts, biofiber: 30 parts, chopped glass fiber: 20 parts, starch: 20 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
[0050] In this embodiment, the proportions of the components of the wood-plastic base plate B are: polyvinyl acid resin: 15 parts, biofiber: 35 parts, chopped glass fiber: 25 parts, starch: 25 parts, antioxidant: 3 parts, light stabilizer: 4 parts, and plasticizer: 3 parts.
[0051] In this embodiment, the proportions of the components of the wood-plastic base plate C are: polyvinyl acid resin: 15 parts, biofiber: 40 parts, chopped glass fiber: 30 parts, starch: 30 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
[0052] In this embodiment, the biological fiber is a combination of wood fiber, bamboo fiber, chitosan fiber and alginate fiber.
[0053] In this embodiment, the light stabilizer is a light absorber and a hindered amine light stabilizer in a 1:1 ratio.
[0054] The preparation method of this embodiment comprises the following steps:
[0055] S1. Prepare raw materials
[0056] 1. Material determination: ① determine the type, ② determine the number of copies, 2. Material pretreatment: ① material cleaning, ② material drying, 3. Material delivery: before the start of work, the staff will purchase 25 parts of polyvinyl acid resin, 30 parts of biofiber, 20 parts of chopped glass fiber, 20 parts of starch, 2 parts of antioxidant, 3 parts of light stabilizer, and 2 parts of plasticizer. Then the materials will be cleaned and dried in a dryer to reduce the impact on subsequent material processing. Then, the wood plastic flooring material will have excellent thermal stability, anti-aging and wear resistance, and at the same time enhance impact resistance. The surface of the wood plastic flooring produced will be scratch-resistant, have a long service life, be green and environmentally friendly, and the raw materials will be easily obtained and low-cost. The production process is simple and the market prospect is good.
[0057] S2. Material processing
[0058] 1. Material crushing, crushing by a crusher, 2. Material mixing, ① temperature 125-155 degrees Celsius, speed 600-800 rpm, time 20-40 minutes, 3. Material banburying, banburying, ① temperature 125-135 degrees Celsius, ② time 20-30 minutes, firstly, 30 parts of biofiber and 20 parts of chopped glass fiber are put into a crusher for crushing to obtain mixture 1, then 25 parts of polyvinyl acid resin, 20 parts of starch, 2 parts of antioxidant, 3 parts of light stabilizer, 2 parts of plasticizer and mixture 1 are put into a high-speed mixer, at 130°C, at 600 rpm, high-speed stirring for 20 minutes to obtain mixture 2, then mixture 2 is put into a banbury mixer, at 125°C, banburying for 20 minutes to obtain mixture 3, thereby performing multi-stage mixing treatment on the raw materials, making the raw material treatment more meticulous and improving the quality of subsequent production of wood-plastic flooring;
[0059] S3, wooden board shaping
[0060] 1. Rolling the mixture, ① using a five-roll calender, ② the roller temperature is 110-180 degrees Celsius, 2. Plasticizing and setting the thickness of the wood board, ① cooling with a cooling roller, ② heat exchange with a heat exchange tube, putting the mixture 3 into the five-roll calender for plasticization and thickness setting, the roller temperature is 130°C, and finally cooling with a cooling roller to obtain a starch and biofiber type wood plastic floor, and then a heat exchange tube is installed through the inside of the cooling roller, and the heat exchange tube is used to recover the excess heat when cooling the floor, thereby improving the energy recovery capacity of the preparation method;
[0061] S4. Finished product inspection
[0062] 1. Appearance inspection: ① size inspection, ② defect inspection, 2. Structural inspection: ① X-ray detector, ② knocking inspection, 3. Chemical composition inspection: ① X-ray photoelectron spectroscopy, ② gas chromatography-mass spectrometry, randomly select samples of the floor for inspection, use appearance defect detection equipment to detect the size and outer tube defects of the floor, and judge whether the appearance of the floor meets the requirements, then use X-ray detector to detect the internal structure of the floor to judge whether the internal structure is uniform, and then use knocking inspection to judge whether there are gaps inside the floor, then use X-ray photoelectron spectroscopy to analyze the chemical elements on the surface of the floor, and then use gas chromatography-mass spectrometry to detect and quantify organic compounds in the floor to judge whether the floor contains harmful substances, so as to conduct a comprehensive inspection of the floor and improve the accuracy and comprehensiveness of the floor inspection.
[0063] In this embodiment, the calculation formula of the production capacity of the internal mixer is Q=t / V*c*n*Δt.
[0064] In this embodiment, in the calculation formula of the production capacity of the internal mixer, Q represents the theoretical production capacity, and the unit is usually kg / h, V is the actual volume of the internal mixer, and the unit is l, c is the filling coefficient of the material in the internal mixer, and the value is usually 0.4 to 0.65, n is the rotation speed of the internal mixer, and the unit is r / min, Δt is the time of each internal mixing, and the unit is min, and t is the production cycle, and the unit is min.
[0065] In this embodiment, the calendering force calculation formula of the five-roll calender is F=P / (S*D), where P is the pressure, S is the calendering area, and D is the roller gap. Figure 1 , Figure 2 , Figure 3 and Figure 4 shown.
[0066] Embodiment 2:
[0067] The difference from the first embodiment is that:
[0068] Polyethylene acid resin: 15-20 parts;
[0069] Biofiber: 30-35 parts;
[0070] Chopped glass fiber: 20-30 parts;
[0071] Starch: 20-30 parts;
[0072] Antioxidants: 2-4 parts;
[0073] Light stabilizer: 3-5 parts;
[0074] Plasticizer: 2-5 parts.
[0075] In this embodiment, the proportion of the wood-plastic baseboard components is: polyvinyl acid resin: 15 parts, biofiber: 35 parts, chopped glass fiber: 25 parts, starch: 25 parts, antioxidant: 3 parts, light stabilizer: 4 parts, plasticizer: 3 parts.
[0076] In this embodiment, the biological fiber is a combination of wood fiber, bamboo fiber, chitosan fiber and alginate fiber.
[0077] In this embodiment, the light stabilizer is a light absorber and a hindered amine light stabilizer in a 1:1 ratio.
[0078] The purification method of this embodiment comprises the following steps:
[0079] S1, firstly put 35 parts of biofiber and 25 parts of glass fiber into a grinder and grind them to obtain a mixture 1;
[0080] S2, putting 15 parts of polyvinyl acid resin, 25 parts of starch, 3 parts of antioxidant, 4 parts of light stabilizer, 3 parts of plasticizer and mixture 1 into a high-speed mixer, stirring at 140° C. and 800 rpm for 30 minutes to obtain mixture 2;
[0081] S3. Mixture 2 was put into an internal mixer and mixed at 145° C. for 30 minutes to obtain mixture 3.
[0082] S4, putting the mixture 3 into a five-roll calender for plasticization and thickness setting, the roller temperature is 140°C, and finally cooled by a cooling roller to obtain a starch + biofiber type wood plastic floor, such as Figure 1 , Figure 2 , Figure 3 and Figure 4 shown.
[0083] Embodiment three:
[0084] The difference between the first embodiment and the second embodiment is that:
[0085] The components are:
[0086] Polyethylene acid resin: 15-25 parts;
[0087] Biofiber: 30-40 parts;
[0088] Chopped glass fiber: 20-35 parts;
[0089] Starch: 20-35 parts;
[0090] Antioxidants: 2-3 parts;
[0091] Light stabilizer: 3-4 parts;
[0092] Plasticizer: 2-4 parts.
[0093] In this embodiment, the proportions of the components of the wood-plastic baseboard are: polyvinyl acid resin: 15 parts, biofiber: 40 parts, chopped glass fiber: 30 parts, starch: 30 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
[0094] The preparation method of this embodiment comprises the following steps:
[0095] S1, firstly put 40 parts of biofiber and 30 parts of glass fiber into a grinder and grind them to obtain a mixture 1;
[0096] S2. Put 15 parts of polyvinyl acid resin, 30 parts of starch, 2 parts of antioxidant, 3 parts of light stabilizer, 2 parts of plasticizer and mixture 1 into a high-speed mixer, stir at 130° C. and 600 rpm for 20 minutes to obtain mixture 2.
[0097] S3. Mixture 2 was put into an internal mixer and mixed at 155° C. for 30 minutes to obtain mixture 3.
[0098] S4, the mixture 3 is put into a five-roll calender for plasticization and thickness setting. The roller temperature is 150°C, and finally cooled by a cooling roller to obtain a starch + biofiber type wood plastic floor, such as Figure 1 , Figure 2 , Figure 3 and Figure 4 shown.
[0099] In summary: by comparing Example 1, Example 2 with Example 3, it is concluded that the present invention proposes a starch and biofiber composite wood plastic floor and a preparation method thereof. Before the start of work, the staff purchases 25 parts of polyvinyl acid resin, 30 parts of biofiber, 20 parts of chopped glass fiber, 20 parts of starch, 2 parts of antioxidant, 3 parts of light stabilizer, and 2 parts of plasticizer, and then washes the materials, and then uses a dryer to dry the materials, thereby reducing the subsequent impact on material processing, and then produces wood plastic floor materials with excellent thermal stability, anti-aging performance and wear resistance, while enhancing impact resistance, and the surface of the produced wood plastic floor is scratch-resistant, has a long service life, is green and environmentally friendly, and the raw materials are easily available and low cost, the production process is simple, and the market prospect is good.
[0100] It should be noted that, in this article, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, technique, article or equipment including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, technique, article or equipment.
[0101] Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present invention, and that the scope of the present invention is defined by the appended claims and their equivalents.
Claims
1. A starch and biofiber composite wood plastic floor, characterized by: The components are: Polyethylene acid resin: 15-25 parts; Biofiber: 30-40 parts; Chopped glass fiber: 20-35 parts; Starch: 20-35 parts; Antioxidants: 2-3 parts; Light stabilizer: 3-4 parts; Plasticizer: 2-4 parts.
2. The starch and biofiber composite wood plastic floor according to claim 1, characterized in that: The proportions of the components of the wood-plastic base plate A are as follows: polyvinyl acid resin: 25 parts, biofiber: 30 parts, chopped glass fiber: 20 parts, starch: 20 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
3. The starch and biofiber composite wood plastic floor according to claim 1, characterized in that: The proportions of the components of the wood-plastic base plate B are as follows: polyvinyl acid resin: 15 parts, biofiber: 35 parts, chopped glass fiber: 25 parts, starch: 25 parts, antioxidant: 3 parts, light stabilizer: 4 parts, and plasticizer: 3 parts.
4. The starch and biofiber composite wood plastic floor according to claim 1, characterized in that: The proportions of the components of the wood-plastic base plate C are as follows: polyvinyl acid resin: 15 parts, biofiber: 40 parts, chopped glass fiber: 30 parts, starch: 30 parts, antioxidant: 2 parts, light stabilizer: 3 parts, and plasticizer: 2 parts.
5. The starch and biofiber composite wood plastic floor according to claim 1, characterized in that: The biological fiber is a combination of wood fiber, bamboo fiber, chitosan fiber and alginate fiber.
6. The starch and biofiber composite wood plastic floor according to claim 1, characterized in that: The light stabilizer is a light absorber and a hindered amine light stabilizer in a 1:1 ratio.
7. A method for preparing a starch and biofiber composite wood plastic floor, based on the starch and biofiber composite wood plastic floor according to any one of claims 1 to 6, characterized in that: The following steps are involved: S1. Prepare raw materials 1. Material determination: ① determine the type, ② determine the number of copies, 2. Material pretreatment: ① material cleaning, ② material drying, 3. Material delivery; S2. Material processing 1. Material crushing, crushing by a crusher, 2. Material mixing, ① temperature 125-155 degrees Celsius, speed 600-800 rpm, time 20-40 minutes, 3. Material refining, using a refining mixer, ① temperature 125-135 degrees Celsius, ② time 20-30 minutes; S3, wooden board shaping 1. Rolling of the mixture, ① five-roll calender, ② roller temperature 110-180 degrees Celsius, 2. Plasticization and thickness setting of the wood board, ① cooling by cooling roller, ② heat exchange by heat exchange tube; S4. Finished product inspection 1. Appearance inspection: ① size inspection, ② defect inspection, 2. Structure inspection: ① X-ray detector, ② knock inspection, 3. Chemical composition inspection: ① X-ray photoelectron spectroscopy, ② gas chromatography-mass spectrometry.
8. The method for preparing a starch and biofiber composite wood plastic floor according to claim 7, characterized in that: The calculation formula of the production capacity of the internal mixer is Q=t / V*c*n*Δt.
9. The method for preparing a starch and biofiber composite wood plastic floor according to claim 8, characterized in that: In the calculation formula of the production capacity of the internal mixer, Q represents the theoretical production capacity, the unit is usually kg / h, V is the actual volume of the internal mixer, the unit is l, c is the filling coefficient of the material in the internal mixer, the value is usually 0.4 to 0.65, n is the rotation speed of the internal mixer, the unit is r / min, Δt is the time of each internal mixing, the unit is min, and t is the production cycle, the unit is min.
10. The method for preparing a starch and biofiber composite wood plastic floor according to claim 7, characterized in that: The calendering force calculation formula of the five-roll calender is F=P / (S*D), wherein P is the pressure, S is the calendering area, and D is the roller gap.