An hysteretic quadrilateral plane stress element

Triantafyllou, SP; Koumousis, VK

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	https://dspace.lib.ntua.gr/xmlui/handle/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