Abstract
The present paper reports an algorithm for crash analyses of composite materials by the homogenization method. According to geometrical properties of some composite materials such as honeycomb material, shell and solid elements are used to discretize the micro- and macrostructures respectively. Then the updated-Lagrange formulation is employed for both the micro- and macrostructures to deal with large deformations. Microstructural bifurcations are efficiently handled by branch-switching with approximated bifurcation modes. In our algorithm, homogenized material constitutive equations are used to update macro stresses as reasonable alternatives to the microstructural analyses. This enables the algorithm to reduce the inherent cost of the multiscale computations. Numerical examples are presented to discuss the cost-effectiveness of the algorithm compared with those obtained by the direct method, which uses very fine finite elements. As the results, our algorithm dramatically reduced the cost in particular situations.
