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Non-singular antiplane fracture theory within nonlocal anisotropic elasticity
Aalto University, Finland.ORCID iD: 0000-0001-8515-9907
University of Oxford.
2015 (English)In: Materials & design, ISSN 0264-1275, E-ISSN 1873-4197, 854-861 p.Article in journal (Refereed) Published
Abstract [en]

Abstract In the present paper, the distributed dislocation technique is applied for the analysis of anisotropic materials weakened by cracks. Eringen’s theory of nonlocal elasticity of Helmholtz type is employed. The non-singular screw dislocation within anisotropic elasticity is distributed to model cracks of mode III. The corresponding dislocation density functions are evaluated using the proper crack-face boundary conditions. The nonlocal stress field within a plane weakened by cracks is determined. The crack opening displacement is also discussed within the framework of nonlocal elasticity. The stress singularity of the classical linear elasticity is removed by the introduction of the nonlocal theory of elasticity. The general anisotropic case and the special case of orthotropic material are studied. The effect of material orthotropy is presented for a crack which is not necessarily aligned with the principal orthotropy direction. ", keywords = Cracks; Anisotropy; Fracture mechanics; Dislocations; Nonlocal elasticity; Integral equations, isbn = 0264-1275, doi=https://doi.org/10.1016/j.matdes.2015.09.068

Place, publisher, year, edition, pages
Elsevier, 2015. 854-861 p.
National Category
Applied Mechanics
Research subject
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kau:diva-65045DOI: 10.1016/j.matdes.2015.09.068ISI: 000364257300100OAI: oai:DiVA.org:kau-65045DiVA: diva2:1154093
Available from: 2017-11-01 Created: 2017-11-01 Last updated: 2017-11-01Bibliographically approved

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