An analytical model for porous single crystals with ellipsoidal voids (INVITED)

Abstract eng:
A rate-(in)dependent constitutive model for porous single crystals with arbitrary crystal anisotropy (e.g., FCC, BCC, HCP etc) containing general ellipsoidal voids is developed. The proposed model, denoted as modified variational model (MVAR), is based on the nonlinear variational homogenization method. Periodic multi-void finite element simulations are used in order to validate the MVAR for a large number of parameters including cubic (FCC, BCC) and hexagonal (HCP) crystal anisotropy, various creep exponents, several stress triaxialities, various void shapes and orientations and porosities. The MVAR model is in good agreement with the FE results for all cases considered in the rate-dependent context. A simple way of calibrating the MVAR is also depicted in the rate-independent context so that an excellent agreement with the FE simulation results is obtained. In this last case, this proposed model can be thought as a generalization of the Gurson model in porous single crystals.

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