An hysteretic quadrilateral plane stress element

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dc.contributor.author Triantafyllou, SP en
dc.contributor.author Koumousis, VK en
dc.date.accessioned 2014-03-01T11:46:39Z
dc.date.available 2014-03-01T11:46:39Z
dc.date.issued 2012 en
dc.identifier.issn 09391533 en
dc.identifier.uri http://hdl.handle.net/123456789/37998
dc.subject Finite elements en
dc.subject Hysteresis en
dc.subject Plane stress en
dc.title An hysteretic quadrilateral plane stress element en
heal.type other en
heal.identifier.primary 10.1007/s00419-012-0682-9 en
heal.identifier.secondary http://dx.doi.org/10.1007/s00419-012-0682-9 en
heal.publicationDate 2012 en
heal.abstract In this work, a new plane stress element is proposed for the nonlinear static and dynamic analysis of plane stress/plane strain problems. The four node quadrilateral element formulation for the elastic case is extended by introducing a novel hysteretic constitutive relation, based on the Bouc-Wen model of hysteresis. The hysteretic model introduced is directly derived from the governing equations of classical plasticity based on the flow rule and specific hardening law. The stiffness matrix of the element is formulated using the principle of virtual displacements, where the elastic stress-strain relation is substituted by the hysteretic relation proposed. The derived stiffness matrix is expressed as a smooth function of the internal stress field both in the elastic and inelastic regime. The efficiency of the proposed element in the simulation of the cyclic behavior in plane structures is presented through illustrative examples. © 2012 Springer-Verlag. en
heal.journalName Archive of Applied Mechanics en
dc.identifier.doi 10.1007/s00419-012-0682-9 en
dc.identifier.spage 1 en
dc.identifier.epage 13 en

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