Abstract
The paper is focused on determining the elastic-plastic behavior of anisotropic composite materials. One of the main goals of this study is to compute effective material properties by analyzing material behavior at microstructure level. The effective material properties were investigated with the use of homogenization procedure connected with volume averaging of stress and strain values in RVE (Representative Volume Element). Three dimensional RVE geometry that represents material microstructure is taken into consideration. The spatial distribution of the particles is determined with experimental data. A boundary value problem is solved by using the finite element method and enforcing periodic boundary conditions. In addition, another approaches based on two step homogenization method and orientation averaging procedure are proposed. Results obtained numerically by using different approaches are presented, compared and related to the experimental results.DOI: http://dx.doi.org/10.5755/j01.mech.21.2.10276
Highlights
The three dimensional representative volume element (RVE) geometry that represents the material microstructure is created by using Digimat-FE software
Different approaches based on the two step homogenization method [7] and the orientation averaging procedure [8] are proposed
The presented methodology is applied to the estimation of effective properties of the material which is represented by the RVE presented in Fig. 2, as well as for material with inclusions perfectly aligned with the extrusion axis
Summary
Particle-reinforced metal matrix composites have found application in many areas of engineering practice They usually provide higher strength, stiffness and weight savings in comparison with conventional metal alloys. Extrusion is a process connected with creating objects with fixed cross section It allows to manufacture complex cross sections with brittle materials that in turn result in parts with excellent surface finish [3]. During this study, composite with 0.3 volume fraction of the reinforcement is taken into consideration In this case, anisotropy of mechanical properties plays a significant role in overall material performance. The RVE geometry is created by taking into account the spatial distribution of the particles measured experimentally. The created RVE that contains 250 particles is presented, each color indicating different family of the particles, X is the axis of the extrusion. In the other two symmetry planes distribution shows similar trend that is in accordance with the histogram presented in Fig. 1 [6]
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