Finite element analysis of elasto‐plastic shells

Abstract
A finite element analysis applicable to elasto‐plastic shells of arbitrary shape is presented. Small‐deflection behaviour of thin shells subjected to monotonically increasing static loads is considered. The material is assumed to be originally isotropic, following the von Mises yield criterion and the Prandtl‐Reuss flow rule. A flat triangular element with twelve degrees of freedom is used in the analysis. Within each element both membrane forces and bending moments are assumed to be constant. Some numerical results are included to illustrate the merits of the element.

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