Analytical solution with validity analysis for an elliptical void and a rigid inclusion under uniform or nonuniform anti-plane loading

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Shahzad, S.
dc.contributor.author Niiranen, J.
dc.date.accessioned 2018-08-23T10:58:55Z
dc.date.available 2018-08-23T10:58:55Z
dc.date.issued 2018-10-01
dc.identifier.citation Shahzad , S & Niiranen , J 2018 , ' Analytical solution with validity analysis for an elliptical void and a rigid inclusion under uniform or nonuniform anti-plane loading ' THEORETICAL AND APPLIED FRACTURE MECHANICS , vol 97 , pp. 62-72 . DOI: 10.1016/j.tafmec.2018.07.009 en
dc.identifier.issn 0167-8442
dc.identifier.issn 1872-7638
dc.identifier.other PURE UUID: cb714779-9a0a-43b3-a1c0-e773f2414a88
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/analytical-solution-with-validity-analysis-for-an-elliptical-void-and-a-rigid-inclusion-under-uniform-or-nonuniform-antiplane-loading(cb714779-9a0a-43b3-a1c0-e773f2414a88).html
dc.identifier.other PURE LINK: http://www.scopus.com/inward/record.url?scp=85050818902&partnerID=8YFLogxK
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/33592
dc.description.abstract An elliptical inclusion (covering both void and rigid inclusions) embedded in an infinite and finite elastic plane subject to uniform or nonuniform (m-th order polynomial) anti-plane loading conditions is analyzed. An analytical solution in terms of the stress field for an infinite plane is developed through the method of analytic function and conformal mapping. Closed-form complex potentials and analytical expressions for Stress Concentration Factors (SCFs) are obtained. The results show that (i.) the SCF value decreases with an increasing loading order, so that the influence of the non-uniformity of the anti-plane loads on the SCF is revealed to be beneficial from the failure point of view; (ii.) decrease in the SCF value for an infinite plane is monotonic, which does not hold true for a finite plane. The results for an infinite plane are confirmed and extended for finite planes by exploiting the well-known heat–stress analogy and the finite element method. It is worth mentioning that the comparison betweenthe analytical solution for an infinite plane and the numerical solution for finite plane is provided, showing that the analytical solution of an infinite plane can be used as an accurate approximation to the case of a finite plane. Moreover, the proposed heat–stress analogy can be exploited to study the crack–inclusion interaction or multiply connected bodies. The computational efficiency of the proposed methodology makes it an attractive analysis tool for anti-plane problems with respect to the full scale three-dimensional analysis. en
dc.format.extent 11
dc.format.extent 62-72
dc.language.iso en en
dc.relation.ispartofseries THEORETICAL AND APPLIED FRACTURE MECHANICS en
dc.relation.ispartofseries Volume 97 en
dc.rights embargoedAccess en
dc.subject.other Materials Science(all) en
dc.subject.other Condensed Matter Physics en
dc.subject.other Mechanical Engineering en
dc.subject.other Applied Mathematics en
dc.subject.other 216 Materials engineering en
dc.title Analytical solution with validity analysis for an elliptical void and a rigid inclusion under uniform or nonuniform anti-plane loading en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Civil Engineering
dc.subject.keyword Anti-plane elasticity
dc.subject.keyword Composites
dc.subject.keyword Crack
dc.subject.keyword Heat–stress analogy
dc.subject.keyword Laplace equation
dc.subject.keyword SCF
dc.subject.keyword SIF
dc.subject.keyword Materials Science(all)
dc.subject.keyword Condensed Matter Physics
dc.subject.keyword Mechanical Engineering
dc.subject.keyword Applied Mathematics
dc.subject.keyword 216 Materials engineering
dc.identifier.urn URN:NBN:fi:aalto-201808234724
dc.identifier.doi 10.1016/j.tafmec.2018.07.009
dc.date.embargo info:eu-repo/date/embargoEnd/2020-08-01


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