Open Access

ARTICLE

An Assumed Strain Solid Shell Element Formulation with Transversely Quadratic Displacement

K. Lee¹ and S.W. Lee ²

1 Assistant Research Scientist, University of Maryland, College Park, MD, USA.
2 Professor, University of Maryland, College Park, MD, USA.

Computer Modeling in Engineering & Sciences 2008, 34(3), 253-272. https://doi.org/10.3970/cmes.2008.034.253

Abstract

A geometrically nonlinear assumed strain formulation is used to develop a nine-node solid shell element with quadratic displacement through the thickness. The transversely quadratic element allows direct use of the constitutive equations developed for three-dimensional solids, which is convenient when material nonlinearity is involved. The nodal degrees of freedom associated with the quadratic terms in the assumed displacement through the thickness are statically condensed out at the element level. The results of numerical tests conducted on selected example problems demonstrate the validity and effectiveness of the present approach. For the cases involving linear elastic material, the differences between the present element and the solid shell element with linear displacement through the thickness are negligible.

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