LARGE DEFLECTION ANALYSIS OF ELASTIC-PLASTIC PLATES AND SHELLS.
Technical rept. no. 1, Jul 68-1 Jun 69,
BROWN UNIV PROVIDENCE R I DIV OF ENGINEERING
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A finite element method is described for the large displacement elastic-plastic analysis of plates and shells. The method combines the piecewise linear geometric stiffness matrices with the piecewise linear generalized stress strain relations for an elastic-plastic shell. The method is discussed with special reference to a triangular plate element with membrane stretching and flexure. A quadratic displacement function was used for the in-plane displacements, and a piecewise modified complete cubic displacement function was used for the out-of-plane displacements. This last resulted in a nonconforming element which exhibited good convergence features. The method was implemented on a general purpose computer program. Case studies were made of simply supported square plates under uniform pressure. Studies were also made of axisymmetric shells using an axisymmetric shell element. Reselts for both types of structures were found to agree with available theoretical and experimental results in the literature. Author
- Solid State Physics