Title : Multi-scale modeling and simulation of high-contrast composite materials: Second-order gradient theory
Abstract:
This paper provides expressions for the tensors A0,0, B0,1, C0,0, and D0,0 for composite materials within the framework of second-order gradient theory. Numerical simulations using the modified Green’s kernel accelerated scheme algorithm have been performed coupled with the MPI/OpenMPlibrary to optimize computation time cost. The 3D numerical simulations have been addressed for 3 different geometries, for which numerical values of the tensors, the computation times, and their classifications have been performed. Keywords: Modeling, simulation, composite materials, high contrast, second-order gradient.