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Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
dc.contributor.author | Vidal Seguí, Yolanda |
dc.contributor.author | Villon, Pierre |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-07-29T17:04:06Z |
dc.date.available | 2010-07-29T17:04:06Z |
dc.date.created | 2003-09 |
dc.date.issued | 2003-09 |
dc.identifier.citation | Vidal, Y.; Villon, P.; Huerta, A. Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. "Communications in numerical methods in engineering", Setembre 2003, vol. 19, núm. 9, p. 725-735. |
dc.identifier.issn | 1069-8299 |
dc.identifier.uri | http://hdl.handle.net/2117/8468 |
dc.description | The definitive version is available at http://www3.interscience.wiley.com/journal/104554155/abstract |
dc.description.abstract | Locking in finite elements has been a major concern since its early developments. It appears because poor numerical interpolation leads to an over-constrained system. This paper proposes a new formulation that asymptotically suppresses locking for the element free Galerkin (EFG) method in incompressible limit, i.e. the so-called volumetric locking. Originally it was claimed that EFG did not present volumetric locking. However, recently, performing a modal analysis, the senior author has shown that EFG presents volumetric locking. In fact, it is concluded that an increase of the dilation parameter attenuates, but never suppresses, the volumetric locking and that, as in standard finite elements, an increase in the order of reproducibility (interpolation degree) reduces the relative number of locking modes. Here an improved formulation of the EFG method is proposed in order to alleviate volumetric locking.Diffuse derivatives are defined in the thesis of the second author and their convergence to the derivatives of the exact solution, when the radius of the support goes to zero (for a fixed dilation parameter), it is proved. Therefore, diffuse divergence converges to the exact divergence. Since the diffuse divergence-free condition can be imposed a priori, new interpolation functions are defined that asymptotically verify the incompressibility condition. Modal analysis and numerical results for classical benchmark tests in solids corroborate this issue. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Galerkin methods |
dc.subject.other | incompressible locking |
dc.subject.other | element free Galerkin |
dc.subject.other | meshless |
dc.subject.other | mesh free |
dc.subject.other | difuse derivatives |
dc.title | Locking in the incompressible limit: pseudo-divergence-free element free Galerkin |
dc.type | Article |
dc.subject.lemac | Galerkin, Mètodes de |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1002/cnm.631 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 672442 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Vidal, Y.; Villon, P.; Huerta, A. |
local.citation.publicationName | Communications in numerical methods in engineering |
local.citation.volume | 19 |
local.citation.number | 9 |
local.citation.startingPage | 725 |
local.citation.endingPage | 735 |
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