Abstract

A developmentof the finite element method for thin shell instability analysis is presented, covering three principal aspects: 1. (1) representation of shell geometry 2. (2) representation of element behavior 3. (3) algorithmic tools for solution of the large-order systems of nonlinear algebraic equations which characterize various phases of shell instability. Two shell elements are described, an arbitrary quadrilateral and a triangle, and numerical results are presented for two widely-employed comparison problems for linear (stable) analysis. Two shell problems which include instability effects are also solved.

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