Contribution of FE and FFT-based methods to the determination of the effective elastic and conduction properties of composite media with flat inclusions and infinite contrast

摘要: Abstract Homogenization theory is increasingly applied to coupled phenomena, i.e. when different physical processes have be modeled in order correctly describe a system. The reason that this methodology provides the means propose consistent morphological description of system irrespective phenomena involved, which deemed physically sound. Here, we perform numerical simulations both mechanical and transport linear context, so as identify best homogenization scheme out five classical ones. goal eventually apply result cracked rocks, present complex structures, but study restricted case parallel disks an otherwise isotropic matrix. Since cracks rocks vanishing stiffness infinite conductivity with respect rock, types contrast will considered, reverse cases well (infinite conductivity) for sake completeness. After detailing motivations behind work, theoretical background necessary derive all analytical estimates laid down. derivations given are somewhat improved over previously published ones, framework extended deal contrast. explained 3D simulations, results presented discussed. Two strategies been used: FEM software FFT-based code. This allows lessen potential biases particular method, increases credibility results. All all, differential identified fit, confirms previous studies, time several cases.