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CN-116368366-B - System and method for predicting physical properties of a multilayer material

CN116368366BCN 116368366 BCN116368366 BCN 116368366BCN-116368366-B

Abstract

In the case of developing a multilayer material having a laminated structure, the present technology can predict physical properties of the entire laminate, such as elastic modulus, shear modulus, and Poisson's ratio, and can extract not only the uniform rigidity of the entire laminate of the multilayer material but also the physical property value or thickness of an undetermined layer.

Inventors

  • Ren Tanhe
  • WEN SHENGNAN
  • ZHENG ZHENMEI

Assignees

  • 株式会社LG化学

Dates

Publication Date
20260512
Application Date
20220822
Priority Date
20211019

Claims (13)

  1. 1. A system for predicting a physical property of a multilayer material, comprising: An input unit for inputting (a) any one or more physical properties of an elastic modulus, poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions of each layer other than the undetermined layer, and (b) any one or more physical properties of an elastic modulus and thickness of the undetermined layer; A control unit connected to the input unit and including an entire laminate property calculation unit and an undetermined layer property calculation unit; A display connected to the control unit, and A storage unit connected to the control unit, Wherein, for the multilayer material in which two or more materials are laminated, the control unit: Receiving (a) any one or more of an elastic modulus, poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions of each layer except for an undetermined layer, and (b) the elastic modulus and thickness of the undetermined layer, The stiffness matrix of each layer is calculated using the elastic modulus, poisson's ratio and shear modulus of each layer except the undetermined layer, Resetting the stiffness matrix of each layer by reflecting the lamination angle of each layer in the obtained stiffness matrix, calculating the stiffness matrix of the multi-layer material as an entire laminate using the value of the stiffness matrix reset by receiving the thickness information of each layer, setting a compliance matrix for the calculated stiffness matrix of the multi-layer material as an entire laminate, and calculating any one or more of an elastic modulus (/ E x,y ), poisson ratio (/ v x,y ), and a shear modulus (/ G x,y ) of the multi-layer material as an entire laminate using the total thickness of the multi-layer material as an entire laminate and the value of the set compliance matrix, and It is determined whether any one or more of the calculated elastic modulus (/ E x,y ), poisson's ratio (/ v x,y ), and shear modulus (/ G x,y ) of the multilayer material converges to any one or more of a target elastic modulus (target/E x,y ), a target poisson's ratio (target/v x,y ), and a target shear modulus (target/G x,y ) received as final target physical properties.
  2. 2. The system of claim 1, wherein the input unit is to input: (a) Modulus of elasticity, poisson's ratio, shear modulus, thickness, lamination angle and number of set regions of each layer except for the undetermined layer, and (B) Any one or more of the modulus of elasticity and thickness of the undetermined layer.
  3. 3. The system of claim 1, wherein, In the case where the elastic modulus is selected from the elastic modulus and thickness of the undetermined layer and inputted, When any one or more of the calculated elastic modulus (/ E x,y ), poisson's ratio (/ v x,y ), and shear modulus (/ G x,y ) of the multilayer material does not converge to any one or more of the target elastic modulus (target/E x,y ), target poisson's ratio (target/v x,y ), and target shear modulus (target/G x,y ) received as the final target physical property, The control unit updates the value of the elastic modulus of the undetermined layer.
  4. 4. The system of claim 1, wherein, In the case where the thickness is selected from the modulus of elasticity and the thickness of the undetermined layer and inputted, When any one or more of the calculated elastic modulus (/ E x,y ), poisson's ratio (/ v x,y ), and shear modulus (/ G x,y ) of the multilayer material does not converge to any one or more of the target elastic modulus (target/E x,y ), target poisson's ratio (target/v x,y ), and target shear modulus (target/G x,y ) received as the final target physical property, The control unit updates a value of the thickness of the undetermined layer.
  5. 5. The system of claim 1, wherein when any one or more of the calculated elastic modulus (/ E x,y ), poisson's ratio (/ v x,y ), and shear modulus (/ G x,y ) of the multi-layer material converges to any one or more of a target elastic modulus (target/E x,y ), a target Poisson's ratio (target/v x,y ), and a target shear modulus (target/G x,y ) received as the final target physical property, The control unit outputs any one or more of an elastic modulus, poisson's ratio, shear modulus, and thickness of the undetermined layer.
  6. 6. A method of predicting physical properties of a multilayer material in which two or more materials are laminated, comprising: Inputting as input values any one or more physical properties of an elastic modulus, poisson's ratio, shear modulus, thickness, lamination angle, and number of set regions of each layer other than the undetermined layer, and any one or more physical properties of the elastic modulus and thickness of the undetermined layer; Calculating physical properties of the multilayered material as an entire laminate using the inputted physical properties, and Determining whether the calculated physical properties converge to the final target physical properties, Wherein calculating the physical properties of the multilayer material comprises: Calculating a stiffness matrix for each layer except for the undetermined layer using the elastic modulus, poisson's ratio, and shear modulus; resetting the stiffness matrix of each layer by reflecting the lamination angle of each layer in the obtained stiffness matrix; Calculating a stiffness matrix of the multi-layered material as the entire laminate using values of the stiffness matrix reset by receiving thickness information of each layer; Setting a compliance matrix for the calculated stiffness matrix of the multilayer material as the whole laminate, and The elastic modulus, poisson's ratio and shear modulus of the multilayer material as an entire laminate are calculated using the values of the total thickness and the set compliance matrix of the multilayer material as an entire laminate.
  7. 7. The method of claim 6, wherein the input as an input value comprises: Inputting the elastic modulus, poisson's ratio, shear modulus, thickness, lamination angle and number of set regions of each layer except the undetermined layer, and Any one or more of the modulus of elasticity and thickness of the undetermined layer is entered.
  8. 8. The method of claim 6, wherein determining whether the calculated property converges to the final target physical property comprises: inputting the modulus of elasticity, poisson's ratio and shear modulus as the final target physical properties, and It is determined whether the calculated elastic modulus (/ E x,y ), poisson ratio (/ v x,y ), and shear modulus (/ G x,y ) converge to a target elastic modulus (target/E x,y ), a target Poisson ratio (target/v x,y ), and a target shear modulus (target/G x,y ) as inputs to the final target physical property.
  9. 9. The method of claim 6, wherein calculating the stiffness matrix for each layer is: The stiffness matrix ([ Q ] k 1,2 ) of each layer (k) in the longitudinal direction (1) and the transverse direction (2) is calculated according to the following equation 1 using the elastic modulus (E k 1,2 ), poisson's ratio (v k 1,2 ), and shear modulus (G k 1,2 ): 1 (1) Q 66 ＝G 12 In equation 1, g=e/2 (1+v) for isotropic materials.
  10. 10. The method of claim 6, wherein resetting the stiffness matrix for each layer is: Resetting the stiffness matrix ([ Q ] k x,y ) of each layer (k) by reflecting the lamination angle (θ k ) of each layer (k) in the obtained stiffness matrix ([ Q ] k 1,2 ) according to the following formula 2: 2, 2
  11. 11. The method of claim 6, wherein calculating the stiffness matrix of the multilayer material is: Calculating a stiffness matrix ([ a ] x,y ,[B] x,y ,[D] x,y ) of the multi-layered material as the whole laminate according to the following formula 3 using values of the stiffness matrix reset by receiving thickness (Z k ) information of each layer (k): 3 In formula 3, k represents each layer, and the multilayered material is formed of n layers in total.
  12. 12. The method of claim 6, wherein the setting of the compliance matrix is: A compliance matrix ([ a ] x,y ,[b] x,y ,[c] x,y ,[d] x,y ) is set for the calculated stiffness matrix ([ a ] x,y ,[B] x,y ,[D] x,y ) of the multilayer material as the whole laminate according to the following formula 4: 4. The method is to
  13. 13. The method of claim 6, wherein calculating the modulus of elasticity, poisson's ratio, and shear modulus of the multilayer material is: The elastic modulus (/ E x,y ), poisson ratio (/ v x,y ) and shear modulus (/ G x,y ) of the multilayer material as the whole laminate were calculated according to the following equation 5 using the total thickness (h) of the multilayer material as the whole laminate and the values of the set compliance matrix ([ a ] x,y ,[b] x,y ,[c] x,y ,[d] x,y ): 5. The method is to

Description

System and method for predicting physical properties of a multilayer material Technical Field The present application claims priority and rights of korean patent application No. 10-2021-0138914 filed on day 10 and 19 of 2021, korean patent application No. 10-2021-0138918 filed on day 10 and 19 of 2021, and korean patent application No. 10-2022-0086160 filed on day 7 and 13 of 2022, the disclosures of which are incorporated herein by reference in their entirety. The present invention relates to systems and methods for predicting physical properties of a multilayer material. Background Polymer films refer to non-fibrous flat plastic molded articles which are light in weight, have good barrier properties, have high transparency and are relatively inexpensive, and thus are used in many fields such as packaging materials, household products, electronic devices, automobiles and airplanes. For example, synthetic polymers such as Polyethylene (PE), polypropylene (PP), polyvinyl chloride (PVC) and polyethylene terephthalate (PET) are processed into polymer films and widely used in korea and abroad, and many synthetic polymers are currently used as materials of the polymer films alone or by mixing. A multilayer film is a composite film in which different types of films are laminated for the purpose of versatility of the film, and various types of multilayer films are used as packaging materials, the multilayer films being formed of a combination of a film having excellent mechanical properties of Polyethylene (PE) and printing aesthetics of cellophane, for example, and nylon and a vinyl alcohol-ethylene copolymer. In the case of developing such a multilayer film as a material, it is necessary to predict physical properties such as elastic modulus, shear modulus, and poisson's ratio of the entire laminate. When the elastic modulus is referred to as "E", the shear modulus is referred to as "G", and the poisson's ratio is referred to as "v", the relationship between them is as follows: The material has a property in which a lateral deformation (deformation in a direction proportional to a load) and a longitudinal deformation (deformation in a load direction) are proportional to each other within an elastic range, and a ratio of the two deformations has a specific value according to a material within an elastic limit, and is called poisson's ratio. Further, when the elastic modulus represents the degree of strain occurring when the elastic material is subjected to stress, and the elastic modulus is referred to as "E", the stress is referred to as "σ", and the strain is referred to as "ε", the relationship therebetween is as follows. Meanwhile, since the material for the multilayer film is anisotropic in the longitudinal direction (MD) and the Transverse Direction (TD) during the manufacturing process, for a robust design of the material, it is necessary to receive not only the uniform stiffness of the entire laminate of the multilayer film but also only one of the physical property value and thickness of one undetermined film as a range value, and extract the other values by an algorithm. For example, in korean unexamined patent application publication No. 2005-012788 (published on 12 th month 1 of 2005), entitled "method of evaluating effective stiffness of composite beam and optimizing lamination angle thereof", a method of evaluating effective stiffness of composite beam made by laminating plies made of novel materials is disclosed, comprising (a) calculating stiffness of each of the plies, (b) calculating stiffness matrix of the entire laminated composite beam, and (c) deriving effective stiffness value of composite beam by applying stiffness matrix and strain to the obtained stress component formula. However, the technology disclosed in korean unexamined patent application publication No. 2005-012788 does not reset the stiffness matrix, and thus there is a problem in that the technology is not suitable for application to the development of a multilayer film material as in the present invention. Disclosure of Invention [ Problem ] In order to solve the technical problems of the present invention, the present invention is directed to providing a system and method for predicting physical properties of a multi-layered material, which can predict physical properties such as elastic modulus, shear modulus and poisson's ratio of the entire laminate when developing a multi-layered material having a laminated structure, and can extract not only uniform rigidity of the entire laminate of the multi-layered material but also physical property values or thicknesses of undetermined layers. [ Technical solution ] As an aspect for achieving the above object, the present invention provides a system for predicting physical properties of a multilayer material. In one embodiment, the system of the present invention includes an input unit for inputting (a) any one or more physical properties such as elastic modulus, poisson's ratio, she