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dc.contributor.authorSánchez, P.J.
dc.contributor.authorHuespe, Alfredo Edmundo
dc.contributor.authorOliver Olivella, Xavier
dc.contributor.authorDíaz, G.
dc.contributor.authorSonzogni, Victorio Enrique
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.identifier.citationSánchez, P. [et al.]. A macroscopic damage-plastic constitutive law for modeling quasi-brittle fracture and ductile behavior of concrete. "International journal for numerical and analytical methods in geomechanics", Abril 2012, vol. 36, núm. 5, p. 546-573.
dc.descriptionThis is the peer reviewed version of the following article: [Sánchez, P.J., Huespe, A.E., Oliver, J., Diaz, G. and Sonzogni, V.E. (2012), A macroscopic damage‐plastic constitutive law for modeling quasi‐brittle fracture and ductile behavior of concrete. Int. J. Numer. Anal. Meth. Geomech., 36: 546-573. doi:10.1002/nag.1013], which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
dc.description.abstractA new phenomenological macroscopic constitutive model for the numerical simulation of quasi-brittle fracture and ductile concrete behavior, under general triaxial stress conditions, is presented. The model is particularly addressed to simulate a wide range of confinement stress states, as also, to capture the strong influence of the mean stress value in the concrete failure mechanisms. The model is based on a two-surface damage-plastic formulation. The mechanical behavior in different domains of the stress space is separately described by means of a quasi-brittle or ductile material response: (i) For positive values of the mean stress (tensile states), an isotropic continuum damage model with strain softening is considered. In this context, and in order to avoid the Boundary Value Problem ill-posedness induced by the softening law, a regularization technique based on the Continuum Strong Discontinuity Approach (CSDA ) is adopted, which results equivalent to a damage model with embedded cohesive cracks providing anisotropic responses. (ii) A plastic model governs the material behavior when the mean stress is negative (confinement states). It is based on the classical plastic flow theory. In particular, a yield criterion similar to that of Willam and coauthors, which depends on the three stress invariants, is used. Additional features defining the plastic response are: an isotropic strain hardening law and a non-associative flow rule. The paper presents the numerical implementation of the model using an efficient integration algorithm, namely, the Impl-Ex scheme. Several widely known experimental tests (such as uniaxial, biaxial and triaxial tests) carried out on concrete specimens are used to calibrate and validate the performance of the proposed formulation. Finally, a classical 2D reinforced concrete beam example is analyzed in order to show the predictive capability of the model in structural analysis applications.
dc.description.sponsorshipThe first, second and fifth author acknowledge financial support from ANPCyT of Argentina through grants PICT 2006-1232, PICT 2008-1228 and from Conicet. Financial support from the Spanish Ministry of Science and Technology trough grant BIA2008-00411 is gratefully acknowledged by the third author.
dc.format.extent28 p.
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
dc.subject.lcshConcrete--Cracking--Mathematical models
dc.subject.otherConcrete constitutive model
dc.subject.otherConcrete fracture
dc.subject.otherQuasi-brittle ductile failure
dc.subject.otherStrong discontinuity approach
dc.titleA macroscopic damage-plastic constitutive law for modeling quasi-brittle fracture and ductile behavior of concrete
dc.subject.lemacFormigó -- Fissuració -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
local.citation.authorSánchez, P.; Huespe, A.; Oliver, J.; Díaz, G.; Sonzogni, V.
local.citation.publicationNameInternational journal for numerical and analytical methods in geomechanics

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