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

Jarkko Niiranen, Sergei Khakalo, Viacheslav Balobanov

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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.
Original languageEnglish
Pages (from-to)337-340
Number of pages4
JournalRakenteiden mekaniikka
Volume50
Issue number3
DOIs
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed

Keywords

  • strain gradient elasticity
  • Fracture
  • mode I crack
  • isogeometric analysis

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