1010 Development of a Two-scale Analysis Method Based on a Homogenization Theory of Nonlinear Time-Dependent Behavior
Takumi Sasaki, Tetsuya MATSUDA · The Proceedings of Ibaraki District Conference · 2012
In this study, a two-scale analysis method based on a time-dependent homogenization theory is developed for the elastic-viscoplastic analysis of macroscopic structures made of microscopic heterogeneous materials such as cellular solids. For this, boundary value problems for macroscopic and microscopic scales are derived to discuss the relation between the two problems. Using the relation, the two-scale analysis method and its computational procedure are established. This reveals that there is no necessity to rebuild stiffness matrices for both macro/micro structures, reducing computational costs significantly. The present method is then applied to the two-scale elastic-viscoplastic analysis of beams made of a honeycomb structure. It is shown that the present method is successful in simultaneously analyzing both the macroscopic elastic-viscoplastic behavior of the beams and the microscopic behavior of a honeycomb structure in the beams.