Geometrically nonlinear homogenization analysis of hyperelastic solid foams

The present study is concerned with the macroscopic material response of solid foams and other highly microheterogeneous solids in the finite strain regime. For the homogenization of the microstructure, a strain energy based procedure is proposed. This procedure is subsequently employed for the analysis of the macroscopic behaviour of two-dimensional model foams. Distinct effects of a deformation induced cell wall re-alignment are observed which cannot adequately be included in pure small strain analyses