Method for multiscale calculation of equivalent stiffness matrixes of complex composite material structures

Abstract

The invention discloses a method for multiscale calculation of equivalent stiffness matrixes of complex composite material structures. The method comprises the following steps of: separating a macro-meso-micro three-scale structure by adoption of a scale separation method, and respectively establishing each scale analysis model according to geometric features of different scale models; and converting a three-scale problem into two multiscale problems: a macro-meso multiscale problem and a meso-micro multiscale problem, analyzing the two multiscale problems in sequence, and finally returning an equivalent modulus obtained by a micro multiscale problem to a macro multiscale problem. According to the method, the disadvantages such as low calculation efficiency and bad precision of the traditional structure analysis are overcome and the efficiency and precision of predicting performance of composite material structures are effectively enhanced; and the method can be used for instructing the work such as production, research and development of composite materials. The method can be applied to design and analysis of complex composite material structures in the field of aerospace, and can be applied to thermal and mechanical analysis problems of structure design in the engineering field of other composite materials.

Description

technical field [0001] The invention relates to the field of composite material design, and relates to a complex composite material structure analysis and design method, specifically a multi-scale method for calculating the equivalent stiffness matrix of complex composite material structures. Background technique [0002] Due to the characteristics of light weight, high strength and strong designability, composite materials are widely used in aerospace structural devices. Due to the complex structure of composite materials, in order to study the performance of composite materials and improve the use efficiency of composite structural parts, scholars at home and abroad have proposed a large number of theories to predict the behavior of composite materials in the past century. Its core is to determine the distribution of physical quantities such as displacement and temperature inside the structure by solving the governing equations, so as to complete the prediction of material...

AI Technical Summary

Problems solved by technology

[0007] However, the existing multi-scale methods only consider two-scale information. Since most composite materials are in the form of plies, the mesoscale of the material is not a simple combination of fibers and matrix, but a combination of multiple fibers and matrix. The ply angle of the fiber and the arrangement of each fiber will greatly affect the performance of the macroscopic material

In addition, most of the multi-scale analysis software users are developed by foreign aerospace scientific research institutions. Due to various reasons, these software are not open to the public, and most of the programs used for academic research are limited due to problems such as accuracy and calculation cost. Applications in the field

Images