3d nonlocal simulation of ductile crack growth - a numerical realization
Keywords:
3D-Fini te-Element-Simulation, Finite Strain P/asticity, Ductile Damage, Nonlocal RegularizationAbstract
ln this article we present a rea/ization of a three dimensional ductile damage analysis. The ROUSSELIER mode/ is used in a finite strain fonnulation to represent the mate rial behavior, so that a threshold value of the damage parameter (J, which corresponds to an asswned void volume fraction, can be defined as crack propagation criterion. We propose a new solution approach using a non local damage formulation in the scope of the fini te element method. This approach uses a set of constitutive equations with a BAZANT -type non local regldarization and an iterative NEWTON-RAPHSON-scheme, which requires the detennination of the global stiffness mat rix and the residuum vector of the system by the assembling of local solutions in each integration point. For the spatial discretization 20-nodes-brick elements with 2 x 2 x 2-integration are used. A numerical example shows the applicability of the new solution algorithm.
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