Determine yield domain of heterogeneous materials using limit analysis method and homogenization method

Abstract

     This paper presents a method to determine Yield domain of Heterogeneous materials with limit analysis and homogenization method. The limit analysis of Representative Volume Element (RVE) is implemented to find limit loads in various cases. The Domain of various cases represents for the stress of one point in materials. The Discretion of fluctuation displacements in limit analysis problem provides advantages of using periodic boundary constraint. The limit analysis and the homogenization method are performed in Second Order Cone Program (SOCP). The various limit loads of RVE create the limit domain of heterogeneous materials. The Numerical is done and compared with results of other research. It shows the effects of this method.