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Distributed dislocation technique for cracks based on non-singular dislocations in nonlocal elasticity of Helmholtz type
Aalto University, Finland.ORCID iD: 0000-0001-8515-9907
Darmstadt University of Technology, Germany.
2015 (English)In: Engineering Fracture Mechanics, ISSN 0013-7944, E-ISSN 1873-7315, Vol. 136, no 0, 79-95 p.Article in journal (Refereed) Published
Abstract [en]

Abstract In the present paper, the distributed dislocation technique is extended for crack problems within Eringen’s theory of nonlocal elasticity of Helmholtz type. Employing distributed dislocation technique, non-singular stresses of cracks of modes I, II and III are obtained using the non-singular stresses of climb edge, glide edge and screw dislocations and dislocation density functions which are solutions of the non-singular integral equations of distributed dislocation technique. The cracks are modeled by a continuous distribution of straight dislocations. The nonlocal elasticity solutions of crack problems do not contain a stress singularity. We found that the non-singular crack stresses are zero at the crack tip or near the crack tip.

Place, publisher, year, edition, pages
Elsevier, 2015. Vol. 136, no 0, 79-95 p.
Keyword [en]
Cracks; Fracture mechanics; Dislocations; Nonlocal elasticity; Integral equations
National Category
Applied Mechanics
Research subject
Materials Engineering
Identifiers
URN: urn:nbn:se:kau:diva-65046DOI: 10.1016/j.engfracmech.2015.01.015ISI: 000350961600007OAI: oai:DiVA.org:kau-65046DiVA: diva2:1154082
Available from: 2017-11-01 Created: 2017-11-01 Last updated: 2017-11-01Bibliographically approved

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Mousavi, S. Mahmoud
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