Mostra el registre d'ítem simple
On the contact domain method: a comparison of penalty and Lagrange multiplier implementations
dc.contributor.author | Weyler Pérez, Rafael |
dc.contributor.author | Oliver Olivella, Xavier |
dc.contributor.author | Sain, Trisha |
dc.contributor.author | Cante Terán, Juan Carlos |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física |
dc.date.accessioned | 2020-07-03T18:07:25Z |
dc.date.available | 2020-07-03T18:07:25Z |
dc.date.issued | 2012-01 |
dc.identifier.citation | Weyler, R. [et al.]. On the contact domain method: a comparison of penalty and Lagrange multiplier implementations. "Computer methods in applied mechanics and engineering", Gener 2012, vol. 205-208, núm. 1, p. 68-82. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/192415 |
dc.description.abstract | This work focuses on the assessment of the relative performance of the so-called contact domain method, using either the Lagrange multiplier or the penalty strategies. The mathematical formulation of the contact domain method and the imposition of the contact constraints using a stabilized Lagrange multiplier method are taken from the seminal work (as cited later), whereas the penalty based implementation is firstly described here. Although both methods result into equivalent formulations, except for the difference in the constraint imposition strategy, in the Lagrange multiplier method the constraints are enforced using a stabilized formulation based on an interior penalty method, which results into a different estimation of the contact forces compared to the penalty method. Several numerical examples are solved to assess certain numerical intricacies of the two implementations. The results show that both methods perform similarly as one increases the value of the penalty parameter or decreases the value of the stabilization factor (in case of the Lagrange multiplier method). However there seems to exist a clear advantage in using the Lagrange multiplier based strategy in a few critical situations, where the penalty method fails to produce convincing results due to excessive penetration. |
dc.description.sponsorship | The Spanish Ministry of Science and Innovation and the Catalan Government Research Department are gratefully acknowledged for their financial support under Grants BIA2008-00411 and 2009 SGR 1510, respectively. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.rights | © 2019. Elsevier |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject | Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica |
dc.subject.lcsh | Contact mechanics |
dc.subject.other | Contact domain method |
dc.subject.other | Interior penalty method |
dc.subject.other | Lagrange multiplier method |
dc.subject.other | Penalty method |
dc.subject.other | Regularized penalty method |
dc.title | On the contact domain method: a comparison of penalty and Lagrange multiplier implementations |
dc.type | Article |
dc.subject.lemac | Mecànica de contacte |
dc.contributor.group | Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
dc.identifier.doi | 10.1016/j.cma.2011.01.011 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0045782511000120 |
dc.rights.access | Open Access |
local.identifier.drac | 9530707 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Weyler, R.; Oliver, J.; Sain, T.; Cante, J.C. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 205-208 |
local.citation.number | 1 |
local.citation.startingPage | 68 |
local.citation.endingPage | 82 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [2.209]
-
Articles de revista [191]
-
Articles de revista [3.026]
-
Articles de revista [517]
-
Articles de revista [173]