A Linear Complementarity formulation of rate-independent finite-strain elastoplasticity. Part I: Algorithm for numerical integration

A methodology for the numerical integration of rate-independent, elastic–plastic finite-strain models is developed. The methodology is based on the idea of local linearization of the yield surface that was proposed in Maier (1969), adopted as the basis for an integration scheme in Hodge (1977), and...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2012-09, Vol.35, p.119-127
Main Authors: Bassi, Andrea, Aravas, Nikolaos, Genna, Francesco
Format: Article
Language:English
Subjects:
Algorithms
Apexes
Corners
Elastoplasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Large strains
Mathematical models
Methodology
Numerical integration
Physics
Plasticity
Singular or multi-surface plasticity models
Solid mechanics
Structural and continuum mechanics
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Summary:A methodology for the numerical integration of rate-independent, elastic–plastic finite-strain models is developed. The methodology is based on the idea of local linearization of the yield surface that was proposed in Maier (1969), adopted as the basis for an integration scheme in Hodge (1977), and developed further in Franchi and Genna (1984, 1987), so far for small-strain problems only. The proposed algorithm is based on the solution of a local Linear Complementarity Problem and is suited particularly for plasticity models that involve yield surfaces with singular points (corners, edges, apexes, etc.). ► Numerical integration scheme for large-strain elastoplasticity of ductile metals. ► Rates transformed into “rotation-neutralized” counterparts for easy integration. ► Rate equations formulated/integrated as a LCP, handling singular yield functions.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2011.10.002