Abstract
A new simplified element model for the limit analysis of thin shells combining the rigid bodies-spring model for the bending deformation and the constant-strain finite element for the in-plane behavior is proposed. This discrete model is so simple that the stiffness matrices can be derived explicitly both for elastic and plastic deformations, and each node has only three degrees of freedom which are three-dimensional translational displacements. Therefore it is expected that the computing cost can be considerably reduced, although the computational accuracy is a little distorted. The first report of the present study contains the formulation by the total Lagrangian approach and its applications to the ultimate strength analysis of flat and curved plates. The validity of the present method is confirmed by comparing the calculated solutions with the results of conventional finite element shell analysis.
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