A 4-node 3D-shell element to model shell surface tractions and incompressible behavior

Authors:
Do-Nyun Kim;Klaus-Jürgen Bathe
Affiliations:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge MA 02139 United States;Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge MA 02139 United States
Venue:
Computers and Structures
Year:
2008

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Abstract

We present in this paper a shell element that models the three-dimensional (3D) effects of surface tractions, like needed when a shell is confined between other solid media. The element is the widely used MITC4 shell element enriched by the use of a fully 3D stress-strain description, appropriate through-the-thickness displacements to model surface tractions, and pressure degrees of freedom for incompressible analyses. The element formulation avoids instabilities and ill-conditioning. Various example solutions are presented to illustrate the capabilities of the element.