Displaying similar documents to “Derivation of non-classical variational principles in the theory of elasticity”

Some variational principles for nonlinear elastodynamics

Ivan Hlaváček (1967)

Aplikace matematiky

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Three variational principles of linear elastodynamics for two initial conditions, recentrly established by M. R. Gurtin, are extended to nonlinear problems with large elastic deformations.

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...