The micromechanical property of the porous material can be obtained through applying the boundary conditions at the inner side of each porosity as well as the outer periodic boundary conditions.The macroscopic in-plane and out-of-plane effective moduli can be finally obtained through the homogenized constitutive equations.The obtained homogenized moduli are highly consistent with those from the finite volume simulations and Kirsch solutions.More importantly,the computational efficiency of the proposed approach is significantly improved by avoiding the mesh discretization of each unit cell,as well as the pre-and post-processing of other numerical techniques.The initial yield surfaces are also predicted for the porous aluminum materials with two different porosity volume fractions.The proposed method is demonstrated to be able to provide theoretical guidance for the engineers in the simulation and design of porous materials.
关键词
多孔金属材料/多尺度模拟/正方形和六边形晶胞/周期性边界条件/Trefftz方法/初始屈服面
Key words
porous metal materials/multiscale analysis/square and hexagonal unit cells/periodic boundary conditions/Trefftz method/initial yield surfaces
维普
万方数据