@article{Niiranen_Khakalo_Balobanov_2017, title={Isogeometric finite element analysis of mode I cracks within strain gradient elasticity}, volume={50}, url={https://rakenteidenmekaniikka.journal.fi/article/view/65124}, DOI={10.23998/rm.65124}, abstractNote={<p align="LEFT"><span style="font-family: CMR10; font-size: medium;">A variational formulation within an </span><span style="font-family: CMMI10; font-size: medium;">H<sup>2 </sup></span><span style="font-family: CMR10; font-size: medium;">Sobolev space setting is formulated for </span>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 <span style="font-family: CMR10; font-size: medium;"><span style="font-family: CMR10; font-size: medium;">problem is solved by isogeometric </span></span><span style="font-family: CMMI10; font-size: medium;"><span style="font-family: CMMI10; font-size: medium;">C<sup>p-1</sup></span></span><span style="font-family: CMR10; font-size: medium;"><span style="font-family: CMR10; font-size: medium;">-continuous discretizations for NURBS basis functions </span></span><span style="font-family: CMR10; font-size: medium;"><span style="font-family: CMR10; font-size: medium;">of order </span></span><span style="font-family: CMMI10; font-size: medium;"><span style="font-family: CMMI10; font-size: medium;">p</span></span><span style="font-family: CMSY10; font-size: medium;"><span style="font-family: CMSY10; font-size: medium;"> \ge </span></span><span style="font-family: CMR10; font-size: medium;"><span style="font-family: CMR10; font-size: medium;">2. Stress eld singularities of the classical elasticity are shown to be removed by </span></span>the strain gradient formulation.</p> <p> </p>}, number={3}, journal={Rakenteiden Mekaniikka}, author={Niiranen, Jarkko and Khakalo, Sergei and Balobanov, Viacheslav}, year={2017}, month={elo}, pages={337–340} }