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Title:
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Consistent tangent matrices for density-dependent finite plasticity models
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Author:
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Pérez Foguet, Agustí; Rodríguez Ferran, Antonio; Huerta, Antonio
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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The consistent tangent matrix for density-dependent plastic models within the theory of isotropic multiplicative hyperelastoplasticity is presented here. Plastic equations expressed as general functions of the Kirchhoff stresses and density are considered. They include the Cauchy-based plastic models as a particular case. The standard exponential return-mapping algorithm is applied, with the density playing the role of a fixed parameter during the nonlinear plastic corrector problem. The consistent tangent matrix has the same structure as in the usual density-independent plastic models. A simple additional term takes into account the influence of the density on the plastic corrector problem. Quadratic convergence results are shown for several representative examples involving geomaterial and powder constitutive models. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
-Plasticity.--Mathematical models
-finite strain multiplicative plasticity
-Cauchy stresses
-consistent tangent operators
-geomaterial plastic models
-powder compaction
-arbitrary Lagrangian-Eulerian (ALE) formulation
-Plasticitat -- Mètodes numèrics |
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Rights:
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Document type:
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Article - Submitted version
Article |
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