Displaying similar documents to “On Reissner's variational theorem for boundary values in linear elasticity”

Variational principles in the linear theory of elasticity for general boundary conditions

Ivan Hlaváček (1967)

Aplikace matematiky

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Mixed boundary-value problem of the classical theory of elasticity is considered, where not only displacements and tractions are prescribed on some parts of the boundary, but also conditions of contact and elastic supports for normal and tangential directions to the boundary surface separately. Classical variational principles are derived using functional analysis methods, especially methods of Hilbert space. Furthermore, generalized variational principles and bilateral estimates of...

Derivation of non-classical variational principles in the theory of elasticity

Ivan Hlaváček (1967)

Aplikace matematiky

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Generalized variational principles, suggested by Hu Hai-Chang and Washizu or Hellinger and Reissner respectively, are derived on the base of complementary energy respectively. Besides, a short survey of further variational theorems, which follow from the fundamental principles, and the proof of the convergence for a method based on one of them, are presented.