A COMPUTATIONAL APPROACH FOR EVALUATING THE EFFECTIVE ELASTIC MODULI OF NON-SPHERICAL PARTICLE REINFORCED COMPOSITES WITH INTERFACIAL DISPLACEMENT AND TRACTION JUMPS

摘要

The present article proposed a numerical approach to accurately evaluate the size- and shape-dependent effective moduli of engineering heterogeneous materials containing arbitrarily shaped interfaces exhibiting both displacement and normal traction discontinuities. First, boundary condition on a representative volume element (RVE) and the effective moduli of composites involving interfacial discontinuities are precisely defined based on micromechanics. Then, a numerical approach framed within the extended finite element method (XFEM) together with the level set method (LSM) is elaborated to evaluate the averaged physical quantities over a RVE and the effective moduli of composites. Further, the unified scheme in Duan et al. (2007) to evaluate the effective moduli of composites is extended to the materials with physics-based general imperfect interfaces, and a benchmark problem is designated based on the approximated analytic formula of the effective moduli and utilized to test the validity and robustness of the elaborated numerical approach. All predictions show good agreement with the relevant analytic results. Finally, the numerical approach validated is applied to investigate the size- and shape-dependent effective moduli of composites and some concluding remarks are given.