A finite element displacement formulation for gradient elastoplasticity

Zervos, A; Papanastasiou, P; Vardoulakis, I

dc.contributor.author	Zervos, A	en
dc.contributor.author	Papanastasiou, P	en
dc.contributor.author	Vardoulakis, I	en
dc.date.accessioned	2014-03-01T01:15:59Z
dc.date.available	2014-03-01T01:15:59Z
dc.date.issued	2001	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13871
dc.subject	C1 finite element	en
dc.subject	Gradient elasticity	en
dc.subject	Gradient plasticity	en
dc.subject	Localization of deformation	en
dc.subject	Material softening	en
dc.subject	Shear band	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Computational geometry	en
dc.subject.other	Continuum mechanics	en
dc.subject.other	Deformation	en
dc.subject.other	Finite element method	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical models	en
dc.subject.other	Sensitivity analysis	en
dc.subject.other	Shear stress	en
dc.subject.other	Strain	en
dc.subject.other	Gradient elastoplastic models	en
dc.subject.other	Shear-band zones	en
dc.subject.other	Strain-softening materials	en
dc.subject.other	Elastoplasticity	en
dc.subject.other	deformation	en
dc.subject.other	elastoplasticity	en
dc.subject.other	finite element method	en
dc.subject.other	fracture mechanics	en
dc.title	A finite element displacement formulation for gradient elastoplasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/1097-0207(20010228)50:6<1369::AID-NME72>3.0.CO;2-K	en
heal.identifier.secondary	http://dx.doi.org/10.1002/1097-0207(20010228)50:6<1369::AID-NME72>3.0.CO;2-K	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	We present a second gradient elastoplastic model for strain-softening materials based entirely on a finite element displacement formulation. The stress increment is related to both the strain increment and its Laplacian. The displacement field is the only field needed to be discretized using a C1 continuity element. The required higher-order boundary conditions arise naturally from the displacement field. The model is developed to regularize the ill-posedness caused by strain-softening material behaviour. The gradient terms in the constitutive equations introduce an extra material parameter with dimensions of length allowing robust modelling of the post-peak material behaviour leading to localization of deformation. Mesh insensitivity is demonstrated by modelling localization of deformation in biaxial tests. It is shown that both the thickness and inclination of the shear-band zone are insensitive to the mesh directionality and refinement and agree with the expected theoretical and experimental values. Copyright © 2001 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/1097-0207(20010228)50:6<1369::AID-NME72>3.0.CO;2-K	en
dc.identifier.isi	ISI:000166945500006	en
dc.identifier.volume	50	en
dc.identifier.issue	6	en
dc.identifier.spage	1369	en
dc.identifier.epage	1388	en