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

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2017
Major/Subject
Mcode
Degree programme
Language
en
Pages
4
337-340
Series
RAKENTEIDEN MEKANIIKKA, Volume 50, issue 3
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.
Description
Keywords
strain gradient elasticity, Fracture, mode I crack, isogeometric analysis
Other note
Citation
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