2D Finite Volume Lagrangian Scheme in Hyperelasticity and Finite Plasticity

Gilles Kluth () and Bruno Després ()
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Gilles Kluth: CEA, DAM, DIF
Bruno Després: CEA, DAM, DIF

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 489-496 from Springer

Abstract: Abstract System of conservation laws develop discontinous solutions, which can be captured by conservative and consistent Finite Volume schemes. In Lagrangian schemes, the mesh is moving; therefore material interfaces are well simulated. Cell-centered Lagrangian Finite Volume schemes have been recently developed in compressible hydrodynamic [J. Comput. Phys. 228:5160–5183, 2009, Comptes Rendus Académie des Sciences 331:327–372, 2003, Siam J. Sci. Comp. 29, 2007]. This paper shows how to extend these schemes to material strength. Moreover, we show that with an appropriate equation of state, this extension allows to simulate some plastic phenomenons.

Keywords: Jacobian Matrix; Finite Volume; Unstructured Mesh; Finite Volume Scheme; Dynamic Yield Stress (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_52

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DOI: 10.1007/978-3-642-11795-4_52

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