Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
Non-Linear Finite Element Analysis of Solids and Structures: Advanced Topics
An anisotropic mesh adaptation strategy for damage and failure in ductile materials
Finite Elements in Analysis and Design
Mathematics and Computers in Simulation
Element-wise algorithm for modeling ductile fracture with the Rousselier yield function
Computational Mechanics
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This paper describes the formulation of an implicit gradient damage model for finite strain elastoplasticity problems including strain softening. The strain softening behavior is modeled through a variant of Lemaitre's damage evolution law. The resulting constitutive equations are intimately coupled with the finite element formulation, in contrast with standard local material models. A 3D finite element including enhanced strains is used with this material model and coupling peculiarities are fully described. The proposed formulation results in an element which possesses spatial position variables, nonlocal damage variables and also enhanced strain variables. Emphasis is put on the exact consistent linearization of the arising discretized equations.A numerical set of examples comparing the results of local and the gradient formulations relative to the mesh size influence is presented and some examples comparing results from other authors are also presented, illustrating the capabilities of the present proposal.