کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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500083 | 863071 | 2007 | 24 صفحه PDF | دانلود رایگان |
We investigate the effects of smoothness of basis functions on solution accuracy within the isogeometric analysis framework. We consider two simple one-dimensional structural eigenvalue problems and two static shell boundary value problems modeled with trivariate NURBS solids. We also develop a local refinement strategy that we utilize in one of the shell analyses. We find that increased smoothness, that is, the “k -method,” leads to a significant increase in accuracy for the problems of structural vibrations over the classical C0C0-continuous “p -method,” whereas a judicious insertion of C0C0-continuous surfaces about singularities in a mesh otherwise generated by the k-method, usually outperforms a mesh in which all basis functions attain their maximum level of smoothness. We conclude that the potential for the k -method is high, but smoothness is an issue that is not well understood due to the historical dominance of C0C0-continuous finite elements and therefore further studies are warranted.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 196, Issues 41–44, 1 September 2007, Pages 4160–4183