Displaying similar documents to “Uniqueness of the solution of the boundary-initial value problem for a linear elastic Cosserat continuum”

Linear viscoelasticity with couple-stresses

Miroslav Hlaváček (1969)

Aplikace matematiky

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In the paper the llinear isothermal quasi-static theory of homogeneous and isotropic viscoelastic bodies with couple-stresses is established. The general representations of the linear hereditary laws both in an integral and differential form are given. Uniqueness of the mixed boundary-value problems is proved. The generalization of Betti's reciprocal theorem and that of Galerkin and Papkovich stress functions are obtained.

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.