Abstract
We propose a formulation of nonlinear homogenization for media with lattice-like periodic microstructures. For continuum media, the conventional homogenization method leads classical boundary value problems of continuum for both micro-and micro-scales. However, it is rational to discretize lattice-like micro-structures such as cellular solids by frame elements. The main difficulty to apply the frame elements into micro-scale problems is due to inconsistency between kinematic field of the frame elements and the micro-scale displacement field. Some numerical examples of cellular solids show not only the feasibility but also the advantage on the computational efficiency of the present method.
