International Journal for Numerical Methods in Engineering · 2013 · 92 citations · 21 references
EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsComputational Solid MechanicsNonlinear Finite Element AnalysisShape FunctionsShell AnalysisShell ElementsShell TheoryB-spline Shape FunctionsFinite Element Shell FormulationsIsogeometric ModelingIsogeometric Shell AnalysisIsogeometric Shell FormulationsLagrange Shape FunctionsNonlinear Shell AnalysisShell Formulation
SUMMARY An isogeometric solid‐like shell formulation is proposed in which B‐spline basis functions are used to construct the mid‐surface of the shell. In combination with a linear Lagrange shape function in the thickness direction, this yields a complete three‐dimensional representation of the shell. The proposed shell element is implemented in a standard finite element code using Bézier extraction. The formulation is verified using different benchmark tests. Copyright © 2013 John Wiley & Sons, Ltd.
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Carl de Boor · Journal of Approximation Theory · 1972 · 1.8K citations
Thomas W. Sederberg, Jianmin Zheng, Almaz Bakenov et al. · ACM Transactions on Graphics · 2003 · 770 citations
Architecture, Computational Engineering, Computational Geometry +16