The Property Prediction And Analyzation Of Composites Based On Asymptotic Homogenization Theory

Composite materials have been widely used in various industries,owing to their excellent comprehensive performance and design features.However,composite materials usually have complex microstructures,and traditional numerical and analytical methods are often difficult to analyze directly.Based on the theory of gradual homogenization and finite element analysis,the paper establishes the analytical model of composite materials,and conducts multi-scale research on macro and meso two-step materials,and uses ANSYS large-scale finite element analysis software for fiber-reinforced composite materials.Performance was predicted and analyzed.The main research content is as follows:In the paper,the production process of short-cut carbon fiber-reinforced wood composites is introduced in detail,and composite plates with different types and parameters are processed.Using laboratory equipment to measure the mechanical and electrical properties of the material,various experimental data on the material plate,such as elastic modulus,internal bond strength,resistivity,dielectric constant,etc.,were obtained and used as a basis for follow-up studies.Next,based on the finite element analysis method,a unit cell model was established on the ANSYS finite element simulation platform,and a periodic boundary condition was applied to ensure the accuracy of the model.For macro and meso-relevance problems,this paper uses the energy principle to derive the equilibrium equations of materials and obtain the structural control equations of fiber materials.Based on the theory of gradual homogenization and perturbation,the mechanical field of small-parameter evolution is introduced into the material’s control equation.After a series of derivation,the equation for the equivalent elastic modulus of the unit cell is finally obtained,and the macroscopic and microscopic views are realized.Coupling.In order to solve the equivalent elastic modulus,the finite element analysis software ANSYS was used to solve the established equation of the equivalent elastic modulus,and a new solution to solve the equivalent performance of the fiber-reinforced composite material was given.This method can quickly solve the material equivalent performance,not only has the simplicity of representing the voxel method,but also can intuitively analyze the distribution of the field quantities inside the material.Finally,the mechanical and electrical properties of fiber-reinforced composites were simulated using ANSYS software,and the distribution of internal mechanical and electrical field quantities in the mesostructures of the materials was given.Through the above-mentioned model and analysis method,this article is devoted to providing reference and guidance for the preparation,design and application of fiber-reinforced composite materials.