An Eulerian finite-volume scheme for large elastoplastic deformations in solids

dc.contributor.authorBarton, Philip Trevor-
dc.contributor.authorDrikakis, Dimitris-
dc.contributor.authorRomenski, E. I.-
dc.date.accessioned2011-09-08T09:37:56Z
dc.date.available2011-09-08T09:37:56Z
dc.date.issued2010-01-22T00:00:00Z-
dc.description.abstractConservative 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.en_UK
dc.identifier.citationP. 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
dc.identifier.issn0029-5981-
dc.identifier.urihttps://doi.org/10.1002/nme.2695-
dc.identifier.urihttp://dspace.lib.cranfield.ac.uk/handle/1826/6055
dc.language.isoen_UK-
dc.publisherJohn Wiley & Sons, Ltden_UK
dc.subjectelastic-plastic solids finite-volume high-resolution schemes Riemann solver WENO hyperbolic conservation-laws stiff relaxation terms efficient implementation impact problems high-order plasticity interfaceen_UK
dc.titleAn Eulerian finite-volume scheme for large elastoplastic deformations in solidsen_UK
dc.typeArticle-

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