Isogeometric finite element analysis of mode I cracks within strain gradient elasticity

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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4

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Rakenteiden mekaniikka, Volume 50, issue 3, pp. 337-340

Abstract

A variational formulation within an H^2 Sobolev space setting is formulated for fourth-order plane strain/stress boundary value problems following a widely-used one parameter variant of Mindlin's strain gradient elasticity theory. A corresponding planar mode I crack problem is solved by isogeometric C^(p-1)-continuous discretizations for NURBS basis functions of order p >= 2. Stress field singularities of the classical elasticity are shown to be removed by the strain gradient formulation.

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Niiranen, J, Khakalo, S & Balobanov, V 2017, 'Isogeometric finite element analysis of mode I cracks within strain gradient elasticity', Rakenteiden mekaniikka, vol. 50, no. 3, pp. 337-340. https://doi.org/10.23998/rm.65124