Abstract

In the analysis of thin plates and shells by the finite element method, principles of stationary value of modified potential energy-variational principles with subsidiary conditions from a mathematical viewpoint-permit derivation of algebraic constraint conditions for the components of the displacement vector. In this way, geometric boundary and interelement continuity conditions which otherwise would be violated, can be satisfied. The main advantage of such finite element techniques is the possibility to choose element displacement functions of a lower order than would be required within the framework of the principle of minimum potential energy.

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