Citation:
P. T. Barton, D. Drikakis, E. I. Romenski, An Eulerian finite-volume scheme for large elastoplastic deformations in solids, International Journal for Numerical Methods in Engineering, Volume 81, Issue 4, pages 453–484, 22 January 2010
Abstract:
Conservative formulations of the governing laws of elastoplastic solid media
have distinct advantages when solved using high-order shock capturing methods
for simulating processes involving large deformations and shock waves. In this
paper one such model is considered where inelastic deformations are accounted
for via conservation laws for elastic strain with relaxation source terms.
Plastic deformations are governed by the relaxation time of tangential stresses.
Compared with alternative Eulerian conservative models, the governing system
consists of fewer equations overall. A numerical scheme For the inhomogeneous
system is proposed based upon the temporal splitting. In this way the reduced
system of non-linear elasticity is solved explicitly, with convective fluxes
evaluated using high-order approximations of Riemann problems locally throughout
the computational mesh. Numerical stiffness of the relaxation terms at high
strain rates is avoided by utilizing certain properties of the governing model
and performing an implicit Update. The methods are demonstrated using test cases
involving large deformations and high strain rates in one-, two-, and three-
dimensions. Copyright (C) 2009 John Wiley & Sons, Ltd.
