Hybrid impotent-incompatible eigenstrain based homogenization

作者：Fish Jacob^*; Filonova Vasilina; Yuan Zheng

来源：International Journal for Numerical Methods in Engineering, 2013, 95(1): 1-32.

DOI：10.1002/nme.4473

• impotent
• eigenstrain
• multiscale
• homogenization

We present a constitutive framework for a periodic heterogeneous medium with minimal number of internal variables. The method is based on a variant of the transformation field analysis (TFA) where eigenstrains are discretized using C 0 continuous approximation in matrix dominated mode of deformation, hereafter referred to as impotent eigenstrain mode, whereas in multiphase mode of deformation, the eigenstrains are approximated using the usual C -1 approximation. The delay in the onset of inelastic response and the eigenstrain induced anisotropy in a microphase, both characteristic to averaging methods, are alleviated by introducing an eigenstrain upwinding scheme and by enhancing constitutive laws of microphases. The proposed formulation has been verified against a direct numerical simulation. The method has been found to be very accurate in predicting an overall material response at a computational cost comparable with the phenomenological modeling of a periodic heterogeneous medium.

• 出版日期2013-7-6