Abstract

This study presents a homogenization based on micromechanics approach for a two-phase copper (Cu)-silver (Ag) composite undergoing finite deformations. In this approach, the high-fidelity generalized method of cells (HFGMC) is implemented for the prediction of the effective behavior of two cold-drawn Cu-Ag composites with different drawing strains and to obtain the field (deformation gradient and stress) distributions in the composite. Both metals (Cu or Ag) are rate-dependent crystal plasticity material constituents. HFGMC is applied for studying the deformation behavior of two-phase Cu-Ag composites under uniaxial compression. The micromechanical approach has been verified by comparison with experimental and finite element simulation results. Results in terms of deformation behavior and field distributions are given for two different cold-drawn composites.

Highlights

  • In the last few decades, nonlinear micromechanical models of multiphase composite materials have been the subject of interest for many investigations

  • The slight difference in the yield stress predicted by the high fidelity generalized method of cells (HFGMC) method may be attributed to the fact that in the HFGMC model, the constitutive equations and boundary conditions are implemented in a point-wise manner and in the average sense, respectively

  • A HFGMC micromechanical model is employed for the prediction of the mechanical response of two-phase Cu-Ag composites for two different samples (d1, d2) in which each constituent (Cu or Ag) is considered as a rate-dependent elasto-viscoplastic material

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Summary

Introduction

In the last few decades, nonlinear micromechanical models of multiphase composite materials have been the subject of interest for many investigations. The aim of these models is to study the effect of volume fraction and the interphase effects on generating the nonlinear effective response of the composite materials. The formation of constitutive equations that govern the large deformations of composite materials, which consist of elasto-viscoplastic phases, is necessary for the modeling and analysis of their deformation behavior. Eutectic Cu-Ag composites form an example of a layered two-phase composite structure that consists of alternate layers of Cu and Ag lamellae inside the grains

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