FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION

R. DE BORST; L.J. SLUYS; H.-B. MUHLHAUS; J. PAMIN

doi:10.1108/eb023897

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Engineering Computations

ISSN: 0264-4401

Online from: 1984

Subject Area: Mechanical & Materials Engineering

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FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION

Document Information:
Title:	FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION
Author(s):	R. DE BORST, (Department of Civil Engineering, Delft University of Technology/TNO Building and Construction Research, PO Box 5048, Delft, The Netherlands), L.J. SLUYS, (Department of Civil Engineering, Delft University of Technology, PO Box 5048, Delft, The Netherlands), H.-B. MUHLHAUS, (CSIRO Division of Geomechanics, PO Box 54, Ml. Waverley, Victoria, Australia), J. PAMIN, (Department of Civil Engineering, Delft University of Technology, PO Box 5048, Delft, The Netherlands)
Citation:	R. DE BORST, L.J. SLUYS, H.-B. MUHLHAUS, J. PAMIN, (1993) "FUNDAMENTAL ISSUES IN FINITE ELEMENT ANALYSES OF LOCALIZATION OF DEFORMATION", Engineering Computations, Vol. 10 Iss: 2, pp.99 - 121
Keywords:	Continuum models, Deformation localization, Finite element analyses
Article type:	General review
DOI:	10.1108/eb023897 (Permanent URL)
Publisher:	MCB UP Ltd
Abstract:	Classical continuum models, i.e. continuum models that do not incorporate an internal length scale, suffer from excessive mesh dependence when strain-softening models are used in numerical analyses and cannot reproduce the size effect commonly observed in quasi-brittle failure. In this contribution three different approaches will be scrutinized which may be used to remedy these two intimately related deficiencies of the classical theory, namely (i) the addition of higher-order deformation gradients, (ii) the use of micropolar continuum models, and (iii) the addition of rate dependence. By means of a number of numerical simulations it will be investigated under which conditions these enriched continuum theories permit localization of deformation without losing ellipticity for static problems and hyperbolicity for dynamic problems. For the latter class of problems the crucial role of dispersion in wave propagation in strain-softening media will also be highlighted.

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