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Consistent tangent matrices for density-dependent finite plasticity models
dc.contributor.author | Pérez Foguet, Agustí |
dc.contributor.author | Rodríguez Ferran, Antonio |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2010-08-02T07:47:12Z |
dc.date.available | 2010-08-02T07:47:12Z |
dc.date.created | 2001-09 |
dc.date.issued | 2001-09 |
dc.identifier.citation | Pérez, A.; Rodríguez, A.; Huerta, A. Consistent tangent matrices for density-dependent finite plasticity models. "International journal for numerical and analytical methods in geomechanics", Setembre 2001, vol. 25, núm. 11, The definitive version is available at http://www3.interscience.wiley.com/journal/85006971/abstract?CRETRY=1&SRETRY=0, p. 1045-1075. |
dc.identifier.issn | 0363-9061 |
dc.identifier.uri | http://hdl.handle.net/2117/8522 |
dc.description.abstract | 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. |
dc.format.extent | 31 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
dc.subject.lcsh | Plasticity.--Mathematical models |
dc.subject.other | finite strain multiplicative plasticity |
dc.subject.other | Cauchy stresses |
dc.subject.other | consistent tangent operators |
dc.subject.other | geomaterial plastic models |
dc.subject.other | powder compaction |
dc.subject.other | arbitrary Lagrangian-Eulerian (ALE) formulation |
dc.title | Consistent tangent matrices for density-dependent finite plasticity models |
dc.type | Article |
dc.subject.lemac | Plasticitat -- Mètodes numèrics |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/nag.165 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 672309 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Pérez, A.; Rodríguez, A.; Huerta, A. |
local.citation.other | The definitive version is available at http://www3.interscience.wiley.com/journal/85006971/abstract?CRETRY=1&SRETRY=0 |
local.citation.publicationName | International journal for numerical and analytical methods in geomechanics |
local.citation.volume | 25 |
local.citation.number | 11 |
local.citation.startingPage | 1045 |
local.citation.endingPage | 1075 |
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