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A fully locking-free isogeometric approach for plane linear elasticity problems: A stream function formulation
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DOI：10.1016/j.cma.2007.07.005.png)
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In this paper, we study plane incompressible elastic problems by means of a stream-function formulation such that a divergence-free displacement field can be computed from a scalar potential. The numerical scheme is constructed within the framework of NURBS-based isogeometric analysis and we take advantage of the high continuity guaranteed by NURBS basis functions in order to obtain the displacement field from the potential differentiation. As a consequence, the obtained numerical scheme is automatically locking-free in the presence of the incompressibility constraint. A Discontinuous Galerkin approach is proposed to deal with multiple mapped, possibly multiply connected, domains. Extensive numerical results are provided to show the method capabilities. (c) 2007 Elsevier B.V. All rights reserved.
Keyword:
incompressible elasticity
stream function formulation
isogeometric analysis
NURBS
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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分享收藏Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement等几何分析: CAD、有限元、NURBS、精确几何和网格细化
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