Abstract
A procedure to generate statistical virtual representative volume elements of foam in a finite element context is described. This technique, based on Laguerre tessellations and advancing front method, level-set description of interfaces and anisotropic meshing adaptation, is detailed. The capability of the procedure to respect statistical data could be insured by the advancing front method. To simulate biaxial foam compression, a uniform velocity is imposed on the domain’s upper and lower boundaries. By considering the presence of air inside the foam’s cells which are bounded by the elastic solid skeleton, a fluid–structure interaction problem occurs between a compressible elastic solid and a compressible fluid. A monolithic formulation is used for solving this problem. Such strategy gives rise to an extra stress tensor in the Navier–Stokes equations coming from the presence of the structure in the fluid.
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