Abstract
AbstractThis study concerns a systematic search for variational principles applicable in solving rate boundary‐value problems of nonassociated plasticity. An investigated solid is assumed to be elastic‐plastic, work hardening and/or softening, obeying non‐associated flow rule. Coupling between elastic and plastic deformation has also been included. It is shown by means of the method of adding the adjoint operator that the counterparts of the variational principles of H u ‐ Washizu and Hellinger‐Reissner can be derived. Variational principles corresponding to the principles of a stationary value of potential energy and stationary value of complementary energy are studied. Convenient in applications counterparts of the principles of virtual velocities, virtual changes of rate of stresses and virtual work are derived. Two reciprocal theorems are formulated.
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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