Simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method applied to non-uniform quadrilateral meshes
Résumé
The flux-difference splitting finite volume method is here employed to perform numerical simulation of impacts on elastic-viscoplastic solids on bidimensional non-uniform quadrilateral meshes. The formulation is second order accurate in space through flux limiters, embeds the corner transport upwind method, and uses a fractional-step method to compute the relaxation operator. Elastic-viscoplastic constitutive models falling within the framework of generalized standard materials in small strains are considered. Many test cases are proposed and two particular viscoplastic constitutive models are studied, on which comparisons with finite element solutions show a very good accuracy of the finite volume solutions, both on stresses and viscoplastic strains.
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