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Decomposition of Eshelby's energy momentum tensor and application to path and domain independent integrals for the crack extension force of a plane circular crack in Mode III loadiing
2007 (English)In: International Journal of Fracture, ISSN 0376-9429, E-ISSN 1573-2673, Vol. 144, no 1-2, 215-225 p.Article in journal (Refereed) Published
Abstract [en]

Vanishing divergence of Eshelby's energy momentum tensor allows formulation of path or domain independent integral expresssions of the crack extension force. In this work, a decomposition scheme of this tensor is presented, which results in zero divergence decomposed parts that allow formulation of expressions yielding the Mode I, II and III crack tip parameters J and K, with particular emphasis on Mode III, at present. By using the Mode III decomposed part of Eshelby's tensor and the virtual crack extension method, a path and a domain independent integral, both new, for the crack extension force of a plane cirular crack in axi-symmetric Mode III loading, are derived as examples of applicatioin.

Place, publisher, year, edition, pages
2007. Vol. 144, no 1-2, 215-225 p.
Research subject
Solid Mechanics
URN: urn:nbn:se:ltu:diva-15126DOI: 10.1007/s10704-007-9096-zLocal ID: e99b8100-a3db-11dc-8fee-000ea68e967bOAI: diva2:988099
Validerad; 2007; 20071206 (kjelle)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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