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Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids
dc.contributor.author | Franci, Alessandro |
dc.contributor.author | Oñate Ibáñez de Navarra, Eugenio |
dc.contributor.author | Carbonell Puigbó, Josep Maria |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria |
dc.date.accessioned | 2017-01-17T18:09:14Z |
dc.date.available | 2017-10-03T00:30:37Z |
dc.date.issued | 2016-09 |
dc.identifier.citation | Franci, A., Oñate, E., Carbonell, J.M. Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids. "International journal for numerical methods in engineering", Setembre 2016, vol. 107, núm. 11, p. 970-990. |
dc.identifier.issn | 0029-5981 |
dc.identifier.uri | http://hdl.handle.net/2117/99543 |
dc.description | This is the accepted version of the following article: [Franci, A., Oñate, E., and Carbonell, J. M. (2016) Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids. Int. J. Numer. Meth. Engng, 107: 970–990. doi: 10.1002/nme.5205], which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/nme.5205/abstract |
dc.description.abstract | We present three velocity-based updated Lagrangian formulations for standard and quasi-incompressible hypoelastic-plastic solids. Three low-order finite elements are derived and tested for non-linear solid mechanics problems. The so-called V-element is based on a standard velocity approach, while a mixed velocity–pressure formulation is used for the VP and the VPS elements. The two-field problem is solved via a two-step Gauss–Seidel partitioned iterative scheme. First, the momentum equations are solved in terms of velocity increments, as for the V-element. Then, the constitutive relation for the pressure is solved using the updated velocities obtained at the previous step. For the VPS-element, the formulation is stabilized using the finite calculus method in order to solve problems involving quasi-incompressible materials. All the solid elements are validated by solving two-dimensional and three-dimensional benchmark problems in statics as in dynamics. |
dc.format.extent | 21 p. |
dc.language.iso | eng |
dc.publisher | John Wiley & Sons |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Plasticity--Mathematical models |
dc.subject.other | finite element methods |
dc.subject.other | Lagrangian |
dc.subject.other | non-linear dynamics |
dc.subject.other | hypoelastic solids |
dc.title | Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids |
dc.type | Article |
dc.subject.lemac | Plasticitat -- Mètodes numèrics |
dc.contributor.group | Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria |
dc.contributor.group | Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria |
dc.identifier.doi | 10.1002/nme.5205 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://onlinelibrary.wiley.com/doi/10.1002/nme.5205/abstract |
dc.rights.access | Open Access |
local.identifier.drac | 19332506 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Franci, A.; Oñate, E.; Carbonell, J.M. |
local.citation.publicationName | International journal for numerical methods in engineering |
local.citation.volume | 107 |
local.citation.number | 11 |
local.citation.startingPage | 970 |
local.citation.endingPage | 990 |
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