Modeling of the effective universal constitutive relations for elastic laminated composites with finite strains

Abstract

The article considers the modeling results of layered composites with finite strains deformation according to the individual layers characteristics. The article proposes an asymptotic averaging method version for layered composites with finite deformations and periodic structure. The method allows calculating the effective deformation diagrams connecting the averaged Piola-Kirchhoff stress tensors components and the strain gradient.

Coupled micro-macroscopic modeling of layered composites with finite deformations

“…The asymptotic averaging method is a rigorous and widely used effective mathematical approach for describing the problems of deformation of structures made of composite materials, it gives an asymptotically correct representation of their solution. AH is also used to predict the effective properties of composites under finite strains [7][8][9][10][11]. Due to the nonlinearity of the problem of mechanics at finite deformations [12][13][14][15], the AH method encounters certain difficulties in implementation.…”