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dc.contributor.authorCervera Ruiz, Miguel
dc.contributor.authorTesei, Claudia
dc.contributor.authorVentura, Giulio
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2018-03-20T15:46:59Z
dc.date.issued2018-03
dc.identifier.citationCervera, M., Tesei, C., Ventura, G. Cracking of quasi-brittle structures under monotonic and cyclic loadings: a d+/d- damage model with stiffness recovery in shear. "International journal of solids and structures", Març 2018, vol. 135, p. 148-171.
dc.identifier.issn0020-7683
dc.identifier.otherhttps://www.researchgate.net/publication/321163423_Cracking_of_quasi-brittle_structures_under_monotonic_and_cyclic_loadings_A_dd-_damage_model_with_stiffness_recovery_in_shear
dc.identifier.urihttp://hdl.handle.net/2117/115464
dc.description.abstractIn the present paper, a new d+/d- damage model apt for quasi-brittle materials is described and its validation is carried out considering unreinforced concrete, reinforced concrete and masonry elements.Two independent scalar damage variables, d+ and d- , in combination with the split of the reversible strain tensor into its positive and negative counterparts, are adopted in order to simulate the pronounced dissimilar response under tension and compression, typical of these materials. An energy-equivalent framework is considered for representing the orthotropy induced in the material by the degradation process, with the consequence that a thermodynamically consistent constitutive operator, positive definite, symmetric and strain-driven, is derived. In addition to the degradation parameters, the permanent strain tensor is also contemplated by the model and a modification of the exponential softening modulus is proposed in order to treat the evolution of the two causes of dissipation, damage and irreversible deformations, in a coupled way.The formulation is integrated with a multidirectional damage procedure, addressed to extend the microcrack closure-reopening (MCR) capabilities of the model to shear cyclic conditions, characterized by orthogonal (or however intersecting) sets of cracks. Maintaining unaltered the dependence of the constitutive law from two scalar indeces, d+ and d- , this approach activates or deactivates a tensile (compressive) damage value on the base of the current maximum (minimum) principal strain direction. In correspondence with damage activation (crack opening) or deactivation (crack closure), a smooth transition is introduced, in order to avoid abrupt changes in stiffness and enhance the numerical performance and robustness of the multidirectional procedure. The adequacy of the proposed constitutive model in reproducing experimental results has been proven for both monotonic and cyclic loading conditions. The two examples of application involving cyclic loads, dominated by shear, constitute a validation of the multidirectional damage approach, showing how the suitable representation of unilateral effects and permanent deformations is essential to model the observed structural response in terms of maximum resistance, evolution of stiffness degradation and dissipation capacity.
dc.format.extent24 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Enginyeria civil::Materials i estructures
dc.subject.lcshConcrete--Cracking--Mathematical models
dc.subject.lcshMasonry--Testing
dc.subject.otherConcrete structures
dc.subject.otherCracking
dc.subject.otherCyclic loading
dc.subject.otherDamage
dc.subject.otherDamage-induced orthotropy
dc.subject.otherEnergy-equivalence
dc.subject.otherMasonry structures
dc.subject.otherMicrocrack closure-reopening effects
dc.subject.otherNumerical robustness
dc.subject.otherSpectral decomposition
dc.titleCracking of quasi-brittle structures under monotonic and cyclic loadings: a d+/d- damage model with stiffness recovery in shear
dc.typeArticle
dc.subject.lemacFormigó -- Fissuració -- Models matemàtics
dc.subject.lemacEstructures de murs -- Models matemàtics
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.identifier.doi10.1016/j.ijsolstr.2017.11.017
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0020768317305218
dc.rights.accessRestricted access - publisher's policy
drac.iddocument21670901
dc.description.versionPostprint (author's final draft)
dc.date.lift2020-04-01
upcommons.citation.authorCervera, M., Tesei, C., Ventura, G.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameInternational journal of solids and structures
upcommons.citation.volume135
upcommons.citation.startingPage148
upcommons.citation.endingPage171


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