Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method

Thomas Heuzé (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique

A finite volume method is used and extended for the numerical simulation of impacts on elastic-viscoplastic solids with bidimensional curvilinear structured meshes. The formulation is based on the flux-difference splitting method, has second order accuracy through flux limiters, embeds the corner transport upwind method, and uses the second order accurate Strang splitting method to handle the right hand side of the system of balance laws. The approach is here derived with a Chaboche-type elastic-viscoplastic solid within the small strain framework, and is illustrated on a problem of impact on a heterogeneous volume containing an inclusion. A comparison is performed with a finite element solution obtained with the finite element code Cast3M.

Mots clés: Flux difference splitting finite volume method; Elastic-viscoplastic solids; Curvilinear structured meshes; Dynamic impact

Domaines: Modélisation et simulation; Mécanique des solides [physics.class-ph]

Thomas Heuzé. Numerical simulation of impacts on elastic-viscoplastic solids with the flux-difference splitting finite volume method. 6th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2017), Jun 2017, Rhodes island, Greece. ⟨hal-02279799⟩