Three‐dimensional adaptive meshing by subdivision and edge‐collapse in finite‐deformation dynamic–plasticity problems with application to adiabatic shear banding

By Jean-François Molinari, Magdalena Ortiz. 2002

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This paper is concerned with the development of a general framework for adaptive mesh refinement and coarsening in three‐dimensional finite‐deformation dynamic–plasticity problems. Mesh adaption is driven by a posteriori global error bounds derived on the basis of a variational formulation of the incremental problem. The particular mesh‐refinement strategy adopted is based on Rivara's longest‐edge propagation path (LEPP) bisection algorithm. Our strategy for mesh coarsening, or unrefinement, is based on the elimination of elements by edge‐collapse. The convergence characteristics of the method in the presence of strong elastic singularities are tested numerically. An application to the three‐dimensional simulation of adiabatic shear bands in dynamically loaded tantalum is also presented which demonstrates the robustness and versatility of the method. Copyright © 2001 John Wiley & Sons, Ltd.

Subfields: Biomedical Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/83165a4df75eb1c6672e5faf590eb954255a5e8f

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In Biomedical Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Optimal transportation meshfree approximation schemes for fluid and plastic flows (2010, methodology): “A number of strategies have been devised with a view to overcoming this difficulty, including: methods based on continuous remeshing [16–19]; arbitraryLagrangian–Eulerian and related formulations [20–24]; the diffuse element method [25]; meshfree methods (see, e.”