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Two stress update algorithms for large strains: accuracy analysis and numerical implementation
dc.contributor.author | Rodríguez Ferran, Antonio |
dc.contributor.author | Pegon, P |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-07-28T15:54:38Z |
dc.date.available | 2010-07-28T15:54:38Z |
dc.date.created | 1997-09 |
dc.date.issued | 1997-09 |
dc.identifier.citation | Rodríguez, A.; Pegon, P.; Huerta, A. Two stress update algorithms for large strains: accuracy analysis and numerical implementation. "International journal for numerical methods in engineering", Setembre 1997, vol. 40, núm. 23, The definitive version is available at http://www3.interscience.wiley.com/journal/6970/abstract, p. 4363-4404. |
dc.identifier.issn | 0029-5981 |
dc.identifier.uri | http://hdl.handle.net/2117/8448 |
dc.description.abstract | Two algorithms for the stress update (i.e., time integration of the constitutive equation) in large-strain solid mechanics are compared from an analytical point of view. The order of the truncation error associated to the numerical integration is deduced for each algorithm a priori, using standard numerical analysis. This accuracy analysis has been performed by means of a convected frame formalism, which also allows a unified derivation of both algorithms in spite of their inherent differences. Then the two algorithms are adapted from convected frames to a fixed Cartesian frame and implemented in a small-strain finite element code. The implementation is validated by means of a set of simple deformation paths (simple shear, extension, extension and compression, extension and rotation) and two benchmark tests in non-linear mechanics (the necking of a circular bar and a shell under ring loads). In these numerical tests, the observed order of convergence is in very good agreement with the theoretical order of convergence, thus corroborating the accuracy analysis. |
dc.format.extent | 42 p. |
dc.language.iso | eng |
dc.publisher | Wiley and Sons |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
dc.subject | Àrees temàtiques de la UPC::Física::Física de l'estat sòlid |
dc.subject.lcsh | Solids--Mechanical properties |
dc.subject.lcsh | Numerical analysis |
dc.subject.other | Large strains |
dc.subject.other | Stress update |
dc.subject.other | Error analysis |
dc.subject.other | Convected frames |
dc.subject.other | Nonlinear computational mechanics |
dc.subject.other | Finite element method |
dc.title | Two stress update algorithms for large strains: accuracy analysis and numerical implementation |
dc.type | Article |
dc.subject.lemac | Mecànica dels sòlids -- Mètodes numèrics |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/(SICI)1097-0207(19971215)40:23<4363::AID-NME263>3.0.CO;2-Z |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 672030 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Rodríguez, A.; Pegon, P.; Huerta, A. |
local.citation.other | The definitive version is available at http://www3.interscience.wiley.com/journal/6970/abstract |
local.citation.publicationName | International journal for numerical methods in engineering |
local.citation.volume | 40 |
local.citation.number | 23 |
local.citation.startingPage | 4363 |
local.citation.endingPage | 4404 |
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