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Maschinenbau und Mechatronik
On the numerical implementation of a finite strain anisotropic damage model based upon the logarithmic rate
European Journal of Finite Elements, vol. 10, no. 2-3-4, pp. 395-400
We present a finite strain anisotropic damage model and show its numerical implementation. The framework of XIAO, BRUHNS & MEYERS [XIA 00] is adopted; i. e. strain and stress measures are, respectively, the logarithmic strain and its work-conjugate stress. Also, a combination of the additive decomposition of the stretching and the multiplicative decomposition of the deformation gradient is used, and the logarithmic rate is used for all rate constitutive laws. To model the change in material symmetry induced by damage, the damage parameter is regarded as an evolving structural tensor. On the irreversible thermodynamics side, it is treated as an internal state variable. Gurson's flow potential is used as a micromechanical basis.