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dc.contributor.authorHuerta, Antonio
dc.contributor.authorPijaudier-Cabot, Gilles
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.date.accessioned2010-08-02T10:13:38Z
dc.date.available2010-08-02T10:13:38Z
dc.date.created1994-06
dc.date.issued1994-06
dc.identifier.citationHuerta, A.; Pijaudier, G. Discretization influence on regularization by two localization limiters. "Journal of engineering mechanics (ASCE)", Juny 1994, vol. 120, núm. 6, p. 1198-1218.
dc.identifier.issn0733-9399
dc.identifier.urihttp://hdl.handle.net/2117/8543
dc.description.abstractIn materials with a strain-softening characteristic behavior, classical continuum mechanics favors uncontrolled strain localization in numerical analyses. Several methods have been proposed to regularize the problem. Two such localization limiters developed to overcome spurious instabilities in computational failure analysis are examined and compared. A disturbance analysis, on both models, around an initially homogeneous state of strain is performed to obtain the closed-form solution of propagating wave velocities as well as the velocities at which the energy travels. It also shows that in spite of forcing the same stress-strain response on both models, the wave equation does not yield similar results. Both propagations of waves are dispersive, but the internal length of each model is different when equivalent behavior is desired. In fact, the previously suggested derivations of gradient models from nonlocal integral models were not completely rigorous. The localization modes and the influence of the internal length should be different in each limiter. The perturbation analysis is pursued in the discrete space where computations are done, and the closed form solutions for the dispersion equations are also obtained. The finite-element discretization introduces an added dispersion: the usual dispersion introduced by elliptic operators and another associated to the regularization technique. Therefore, the influence of the discretization on the localization limiters can be evaluated. The element size must be in the order of, or smaller than, the internal length of the models in order to obtain sufficient accuracy on the phase velocities of the propagating waves in transient analysis.
dc.format.extent21 p.
dc.language.isoeng
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subjectÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica
dc.subject.lcshContinuum mechanics--Mathematical models
dc.subject.otherNumerical analysis
dc.subject.otherStrain softening
dc.subject.otherContinuum mechanics
dc.subject.otherWave propagation
dc.subject.otherClosed form solutions
dc.subject.otherLocalization
dc.subject.otherDiscrete elements
dc.titleDiscretization influence on regularization by two localization limiters
dc.typeArticle
dc.subject.lemacMecànica de medis continus
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1061/(ASCE)0733-9399(1994)120:6(1198)
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://cedb.asce.org/cgi/WWWdisplay.cgi?88298
dc.rights.accessOpen Access
local.identifier.drac671929
dc.description.versionPostprint (author’s final draft)
local.citation.authorHuerta, A.; Pijaudier, G.
local.citation.publicationNameJournal of engineering mechanics (ASCE)
local.citation.volume120
local.citation.number6
local.citation.startingPage1198
local.citation.endingPage1218


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