Adaptive strategies and error control for computing material forces in fracture mechanics

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Fältnamn	Indikatorer	Metadata
000		03041naa a2200409 4500
001		oai:DiVA.org:hj-15834
003		SwePub
008		110816s2004 \| \|\|\|\|\|\|\|\|\|\|\|000 \|\|eng\|
009		oai:research.chalmers.se:9b5c5c26-0e1d-4f84-bbc2-21a04dad5d66
024	7	a https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-158342 URI
024	7	a https://doi.org/10.1002/nme.10072 DOI
024	7	a https://research.chalmers.se/publication/37052 URI
040		a (SwePub)hjd (SwePub)cth
041		a engb eng
042		9 SwePub
072	7	a ref2 swepub-contenttype
072	7	a art2 swepub-publicationtype
100	1	a Heintz, Per,d 1975u Chalmers University of Technology,Chalmers tekniska högskola4 aut0 (Swepub:cth)perhei
245	1 0	a Adaptive strategies and error control for computing material forces in fracture mechanics
264		c 2004-06-08
264	1	b Wiley,c 2004
338		a print2 rdacarrier
520		a The concept of material forces pertains to a variation of the inverse motion map while the placement field is kept fixed. From the weak formulation of the self-equilibrating Eshelby (material) stress tensor it turns out that the classical J-integral formulations in fracture mechanics are just special cases due to the choice of particular weight functions. In this contribution, we discuss a posteriori error control of the material forces as part of an adaptive strategy to reduce the discretization error to an acceptable level. The data of the dual problem involves the quite non-conventional tangent stiffness of the (material) Eshelby stress tensor with respect to a variation of the (physical) strain field. The suggested strategy is applied to the common fracture mechanics problem of a single-edged crack, whereby different strategies for computing the J-integral are compared. We also consider the case in which the crack edges are not parallel, i.e. a notch.
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 adaptivity
653		a error control
653		a material forces
653		a fracture mechanics
700	1	a Larsson, Fredrik,d 1975u Chalmers University of Technology,Chalmers tekniska högskola4 aut0 (Swepub:cth)lafr
700	1	a Hansbo, Peteru Jönköping University,JTH. Forskningsmiljö Produktutveckling - Simulering och optimering,Chalmers tekniska högskola,Chalmers University of Technology4 aut0 (Swepub:cth)hansbo
700	1	a Runesson, Kenneth,d 1948u Chalmers University of Technology,Chalmers tekniska högskola4 aut0 (Swepub:cth)keru
710	2	a Chalmers University of Technologyb Chalmers tekniska högskola4 org
773	0	t International Journal for Numerical Methods in Engineeringd : Wileyg 60:7, s. 1287-1299q 60:7<1287-1299x 0029-5981x 1097-0207
856	4 8	u https://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-15834
856	4 8	u https://doi.org/10.1002/nme.1007
856	4 8	u https://research.chalmers.se/publication/3705

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Av författaren/redakt...: Heintz, Per, 197 ...; Larsson, Fredrik ...; Hansbo, Peter; Runesson, Kennet ...

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TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Maskinteknik

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Av lärosätet: Jönköping University; Chalmers tekniska högskola

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