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Finite element analysis of bifurcation in nonlocal strain softening solids
dc.contributor.author | Pijaudier-Cabot, Gilles |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-07-30T15:15:15Z |
dc.date.available | 2010-07-30T15:15:15Z |
dc.date.created | 1991-09 |
dc.date.issued | 1991-09 |
dc.identifier.citation | Pijaudier, G.; Huerta, A. Finite element analysis of bifurcation in nonlocal strain softening solids. "Computer methods in applied mechanics and engineering", Setembre 1991, vol. 90, núm. 1-3, p. 905-919. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/8501 |
dc.description.abstract | Progressive damage in brittle heterogeneous materials produces at the macroscopic level strain softening from which theoretical difficulties arise (e.g. ill-posedness and multiple bifurcation points). This characteristics behavior favours spurious strain localization in numerical analyses and calls for the implementation of localization limiters, for instance nonlocal damage constitutive relations. The issue of possible (stable or unstable) equilibrium paths, multiple localization zones, and of the detection of bifurcation points has, however, never been addressed in the context of nonlocal constitutive laws. We extend here the eigenmode analysis and perturbation method proposed by De Borst to the study of the bifurcation and post-bifurcation response of discrete nonlocal strain softening solids. Numerical applications on beams show that bifurcation and instability may occur in the post-peak regime. As opposed to the case of local constitutive relations, the number of possible solutions at a bifurcation point is restricted due to the constraint introduced by the localization limiter and these solutions are shown to be mesh independent. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
dc.subject | Àrees temàtiques de la UPC::Enginyeria dels materials::Assaig de materials::Assaig de fractura |
dc.subject.lcsh | Fracture mechanics--Mathematical models |
dc.title | Finite element analysis of bifurcation in nonlocal strain softening solids |
dc.type | Article |
dc.subject.lemac | Mecànica de fractura -- Models matemàtics |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/0045-7825(91)90190-H |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 671945 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Pijaudier, G.; Huerta, A. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 90 |
local.citation.number | 1-3 |
local.citation.startingPage | 905 |
local.citation.endingPage | 919 |
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