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dc.contributor.authorWu, Jian-Ying
dc.contributor.authorCervera Ruiz, Miguel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2018-05-08T16:53:41Z
dc.date.available2020-06-01T00:26:05Z
dc.date.issued2018-05
dc.identifier.citationWu, J., Cervera, M. A novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids. "International journal of solids and structures", Maig 2018, vol. 139-140, p. 250-269.
dc.identifier.issn0020-7683
dc.identifier.otherhttps://www.researchgate.net/publication/319188445_A_novel_positivenegative_projection_in_energy_norm_for_the_damage_modeling_of_quasi-brittle_solids
dc.identifier.urihttp://hdl.handle.net/2117/117030
dc.description.abstractThe asymmetric tensile/compressive material behavior and microcracks closure-reopening (MCR) effects exhibited by quasi-brittle solids are of significant importance to the nonlinear responses of engineering structures under cyclic loading, e.g., earthquake excitations. Based on our previous work (Cervera et al., 1995; Faria et al., 1998; Wu et al., 2006) this work addresses a novel thermodynamically consistent unilateral damage model for concrete. In particular, the positive/negative projection (PNP) of the effective stress tensor and the additive bi-scalar damage constitutive relation are maintained owing to the conceptual simplicity and computational efficiency. It is found that the classical PNP widely adopted in the literature is not optimal for this damage model, since the resulting stiffness is not always of major symmetry. Consequently, a well-defined free energy potential does not exist in general cases and the model cannot be cast into the framework of thermodynamics with internal variables. Furthermore, the damage induced anisotropy cannot be captured, exhibiting excessive lateral deformations under uniaxial tension. To overcome the above issues, a novel PNP, variationally interpreted as the closest point projection of the effective stress in energy norm, is proposed with closed-form solution. With the novel PNP, the secant stiffness tensor of the proposed unilateral damage model always possesses major symmetry and exhibits orthotropic behavior under uniaxial tension and mixed tension/compression. The corresponding thermodynamics framework is then given, resulting in an energy release rate based rounded-Rankine type damage criterion appropriate for tensile failure in quasi-brittle solids. Several numerical examples of single-point verifications and benchmark tests are presented. It is demonstrated that the proposed model is capable of characterizing localized failure of concrete under proportional and non-proportional static loading, as well as the MCR effects under seismic cyclic loading.
dc.format.extent20 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::Materials i estructures de formigó
dc.subject.lcshConcrete--Cracking
dc.subject.otherDamage Thermodynamics Quasi-brittle failure Concrete Cyclic loading Microcracks closure-reopening Unilateral effects
dc.titleA novel positive/negative projection in energy norm for the damage modeling of quasi-brittle solids
dc.typeArticle
dc.subject.lemacFormigó -- Fractures
dc.contributor.groupUniversitat Politècnica de Catalunya. DECA - Grup de Recerca del Departament d'Enginyeria Civil i Ambiental
dc.identifier.doi10.1016/j.ijsolstr.2018.02.004
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0020768318300490
dc.rights.accessOpen Access
local.identifier.drac22428788
dc.description.versionPostprint (author's final draft)
local.citation.authorWu, J.; Cervera, M.
local.citation.publicationNameInternational journal of solids and structures
local.citation.volume139-140
local.citation.startingPage250
local.citation.endingPage269


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