On a geometrically nonlinear damage model based on a multiplicative decomposition of the deformation gradient and the propagation of microcracks |
| |
Authors: | H Schütte OT Bruhns |
| |
Institution: | Institute of Mechanics, Ruhr-University Bochum, D-44780 Bochum, Germany |
| |
Abstract: | We aim to derive a damage model for materials damaged by microcracks. The evolution of the cracks shall be governed by the maximum energy release rate, which was recently shown to be a direct consequence of the variational principle of a body with a crack (Arch. Appl. Mech. 69 (5) (1999) 337). From this, we get the path of the growing crack by introducing a series of thermodynamically equivalent straight cracks. The equivalence of the energy dissipated by microcrack growth and the damage dissipation leads to our damage evolution law. This evolution law will be embedded in a finite deformation framework based on a multiplicative decomposition into elastic and damage parts. As a consequence of this, we can present the anisotropic damaged elasticity tensor with the help of push and pull operations. The connection of this approach to other well known damage theories will be shown and the advantages of a finite element framework will be worked out. Numerical examples show the possibilities of the proposed model. |
| |
Keywords: | A: Microcracking B Anisotropic material B Finite deformation B Constitutive behaviour Damage |
本文献已被 ScienceDirect 等数据库收录! |