Finite element modeling method of random microstructure of heterogeneous material

Abstract

The invention provides a finite element modeling method of a random microstructure of a heterogeneous material, and particularly relates to a method of establishing a finite element network model of the random microstructure of the heterogeneous material based on microstructure probability distribution information and a random algorithm. The method comprises the following steps of: determining a microstructure probability distribution function by using a real or dummy heterogeneous material component phase physical distribution form; converting a probability distribution function into a discrete space of the model on the basis of establishing the finite element network topological model of the material; and determining material attributes of each unit in the definite element model by using random real numbers generated by a pseudo random number generator and consistently distributed in an interval [0, 1], thereby establishing the random microstructure model of the heterogeneous material. The method is suitable for the heterogeneous materials in different modes; the established definite network model can be directly used for analyzing relation among microscopic property, microscopic structure, macroscopic performance of the heterogeneous material; and basis is provided for development and preparation of a new material.

Description

technical field [0001] The invention belongs to the technical field of finite element modeling, and relates to a finite element modeling method, in particular to a finite element modeling method of random microstructure of heterogeneous materials. Background technique [0002] The macroscopic properties (such as stiffness, strength, and toughness, etc.) of heterogeneous materials composed of multiple components (such as composite materials, porous materials, etc.) are mainly determined by their microstructure. The influence of microstructure on its macroscopic properties is of great significance for the design and development of new high-performance heterogeneous materials. The finite element method is one of the most effective methods to study the relationship between the microstructure and macroscopic properties of materials, and this method needs to establish a finite element model of the microstructure of heterogeneous materials first. For the materials that have been d...

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Problems solved by technology

However, in order to establish the relationship between the microstructure of heterogeneous materials and their macroscopic properties, microstructure information should appear as a variable in the research process. Multiple materials are not realistic

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