p-Version Three Dimensional Curved Shell Element for Geometrically Nonlinear Behavior

by Karan S. Surana, Univ of Kansas, Lawrence, United States,
Robert M. Sorem, Univ of Kansas, Lawrence, United States,

Abstract: This paper presents a p-version hierarchical geometrically nonlinear formulation based on the total Lagrangian approach for a nine node three dimensional curved shell element. The element geometry is defined by the coordinates of the nodes located on its middle surface and nodal vectors describing the bottom and top surfaces of the element. The element displacement approximation can be of arbitrary and different polynomial orders in the plane of the element and in the transverse direction. The hierarchical element approximation functions and the corresponding nodal variables are derived directly from the Lagrange family of interpolation functions. Numerical examples are presented to show the accuracy, efficiency, and overall advantages of the present formulation.

Subject Headings: Geometrics | Lagrangian functions | Curvature | Approximation methods | Vector analysis | Displacement (mechanics) | Arbitration | Polynomials

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