articleTop 1% cited
A formulation of general shell elements—the use of mixed interpolation of tensorial components
International Journal for Numerical Methods in Engineering · 1986 · Vol. 22(3) · pp. 697–722
Klaus‐Jürgen Bathe✉(Massachusetts Institute of Technology)Eduardo N. Dvorkin(United Electric Controls (United States))
Abstract
Abstract We briefly discuss the requirements on general shell elements for linear and nonlinear analysis in practical engineering environments, and present our approach to meet these needs. We summarize and give further insight into our formulation of a 4‐node shell element using a mixed interpolation of tensorial components, and present a new 8‐node element using this approach. Specific attention is given to the general applicability of the elements and their efficient use in practice.
Composite Structure Analysis and OptimizationDynamics and Control of Mechanical SystemsNumerical methods in engineeringInterpolation (computer graphics)Shell (structure)Element (criminal law)Node (physics)Computer scienceApplied mathematicsNonlinear systemFinite element methodAlgorithmMathematical optimization
Citations
821
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27.98
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References
27
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References
A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
International Journal for Numerical Methods in Engineering · 1985 · 1,051 citations
Analysis of thick and thin shell structures by curved finite elements
International Journal for Numerical Methods in Engineering · 1970 · 1,263 citations
An Analysis of the Finite Element Method
Mathematics of Computation · 1974 · 3,461 citations
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