The mathematical shell model underlying general shell elements

By Dominique Chapelle, Klaus-Jürgen Bathe. 2000

83 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/b3a3ae66b9b778ab3f282d0f7868ab31fc10e558

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In Biomedical Engineering

In Computational Mechanics

In Control and Systems Engineering

Citations in the corpus

The MITC3 shell finite element enriched by interpolation covers (2014, background): “The s-norm is suitable to check whether the finite element solutions satisfy consistency and the inf-sup condition [36–40], and is defined as follows ku uhks 1⁄4 Z”
3D-SHELL ELEMENTS AND THEIR UNDERLYING MATHEMATICAL MODEL (2004, background): “The volume measure is expressed as dV = √ g dξ(1)dξ(2)dξ(3) , (11) with g = [(g1 × g2) · g3](2) = a(1 − 2Hξ(3) + K(ξ(3))(2))(2) , (12) where H and K respectively denote the mean and Gaussian curvatures of the surface.”
The MITC3+shell element and its performance (2014, unknown): “The MITC3+ element is based on the ‘basic mathematical shell model’ [3,35] and the MITC approach used for the development of triangular elements [1] but using a cubic bubble function for the rotations and a new assumed transverse shear strain field.”
A new one‐point quadrature enhanced assumed strain (EAS) solid‐shell element with multiple integration points along thickness—part II: nonlinear applications (2006, methodology): “Additional details on this problem can be found, for instance, in the work of Chapelle and Bathe [52].”
A finite‐strain quadrilateral shell element based on discrete Kirchhoff–Love constraints (2005, background): “Reference [21]) that the ‘degenerated approach’ by Ahmad et al.”
On the asymptotic behavior of shell structures and the evaluation in finite element solutions (2002, methodology): “E-mail address: kjb@mit.edu (K.J. Bathe).”