Regularization of localization due to material softening using a nonlocal hardening variable in an Eulerian formulation of inelasticity

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Fältnamn	Indikatorer	Metadata
000		03077naa a2200337 4500
001		oai:DiVA.org:lnu-112850
003		SwePub
008		220513s2022 \| \|\|\|\|\|\|\|\|\|\|\|000 \|\|eng\|
024	7	a https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-1128502 URI
024	7	a https://doi.org/10.1016/j.ijengsci.2022.1036842 DOI
040		a (SwePub)lnu
041		a engb eng
042		9 SwePub
072	7	a ref2 swepub-contenttype
072	7	a art2 swepub-publicationtype
100	1	a Kroon, Martin,c Professor,d 1974-u Linnéuniversitetet,Institutionen för maskinteknik (MT),DISA;DISA-SIG4 aut0 (Swepub:lnu)makrab
245	1 0	a Regularization of localization due to material softening using a nonlocal hardening variable in an Eulerian formulation of inelasticity
264	1	b Elsevier,c 2022
338		a electronic2 rdacarrier
520		a It is known that damage or inelastic softening can cause an ill-posed problem leading to localization and mesh-dependence in finite element simulations. In this paper, a nonlocal hardening variable, ̄? , is introduced in a finite deformation Eulerian formulation of inelasticity with a rate-independent smooth elastic–inelastic transition. This nonlocal variable is defined over an Eulerian region of nonlocality, which is a sphere with radius equal to the characteristic length, ?c, defined in the current deformed geometry of the material. Two models of this nonlocal hardening variable are explored. One model where ̄ ? is the minimum value of the local hardening ? within the region of nonlocality, and another model where ̄? is the average of ? in the same region. The influence of the nonlocal hardening variable is studied using an example of a plate that is loaded by a prescribed boundary displacement causing formation of a shear band. Predictions of the applied load vs. displacement curves and contour plots of the total distortional deformation of the plate and the hardening variable ? are studied. The model based on the minimum value of ? in the nonlocal region predicts mesh-independent post-peak response of the load vs. displacement curve. Also, it is shown that the characteristic material length, ?c, controls the structure of the shear band developed in the plate.
650	7	a TEKNIK OCH TEKNOLOGIERx Maskinteknik0 (SwePub)2032 hsv//swe
650	7	a ENGINEERING AND TECHNOLOGYx Mechanical Engineering0 (SwePub)2032 hsv//eng
653		a Maskinteknik
653		a Mechanical Engineering
700	1	a Rubin, M.B.u Technion-Israel Institute of Technology, Israel4 aut
710	2	a Linnéuniversitetetb Institutionen för maskinteknik (MT)4 org
773	0	t International Journal of Engineering Scienced : Elsevierg 176q 176x 0020-7225x 1879-2197
856	4	u https://doi.org/10.1016/j.ijengsci.2022.103684y Fulltext
856	4	u https://lnu.diva-portal.org/smash/get/diva2:1658157/FULLTEXT01.pdfx primaryx Raw objecty fulltext:print
856	4 8	u https://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-112850
856	4 8	u https://doi.org/10.1016/j.ijengsci.2022.103684

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Av författaren/redakt...: Kroon, Martin, P ...; Rubin, M.B.

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