A new triangular element for the analysis of plane stress / plane strain plasticity problems

Triantafyllou, SP; Koumousis, VK

dc.contributor.author	Triantafyllou, SP	en
dc.contributor.author	Koumousis, VK	en
dc.date.accessioned	2014-03-01T02:51:55Z
dc.date.available	2014-03-01T02:51:55Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35750
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84859119877&partnerID=40&md5=a211400b8ab8e3c6531228c627c5b2d9	en
dc.subject	Bouc wen	en
dc.subject	Finite element	en
dc.subject	Hysteresis	en
dc.subject	Plane stress	en
dc.subject.other	Bouc wen	en
dc.subject.other	Compatibility equation	en
dc.subject.other	Computational costs	en
dc.subject.other	Constitutive relations	en
dc.subject.other	Equilibrium equation	en
dc.subject.other	Evolution equations	en
dc.subject.other	Finite Element	en
dc.subject.other	Governing equations	en
dc.subject.other	Internal variables	en
dc.subject.other	Kinematic hardening	en
dc.subject.other	Nonlinear statics	en
dc.subject.other	Nonlinear time history analysis	en
dc.subject.other	Plane strain problem	en
dc.subject.other	Plane strains	en
dc.subject.other	Plane stress	en
dc.subject.other	Solution approach	en
dc.subject.other	Step-by-step	en
dc.subject.other	Triangular elements	en
dc.subject.other	Computational mechanics	en
dc.subject.other	Hardening	en
dc.subject.other	Hysteresis	en
dc.subject.other	Finite element method	en
dc.title	A new triangular element for the analysis of plane stress / plane strain plasticity problems	en
heal.type	conferenceItem	en
heal.publicationDate	2009	en
heal.abstract	In this work, a new plane stress element is proposed suitable for the nonlinear static and dynamic analysis of plane stress / plane strain problems. The triangular element formulation for the elastic case is extended by implicitly defining a hysteretic internal variable, subjected to an evolution equation of the Bouc-Wen type with kinematic hardening. Solutions are obtained by simultaneously solving the three sets of governing equations of the structure, namely the global equilibrium equations, global compatibility equations and local constitutive equations. A Livermore solver is implemented. Contrary to the usual step-by-step solution approaches, following the proposed formulation linearization of the constitutive relations is avoided. The combined use of the proposed element together with the solution approach implemented reduces significantly the computational cost of a nonlinear time history analysis, while at the same time improves the accuracy of the method. An example is presented which demonstrate the efficiency of the proposed method and the accuracy of the developed finite element. © CIMNE.	en
heal.journalName	Computational Plasticity X - Fundamentals and Applications	en