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.

On the existence and uniqueness of solution and some variational principles in linear theories of elasticity with couple-stresses. II. Mindlin's elasticity with microstructure and the first strain-gradient theory

Ivan Hlaváček, Miroslav Hlaváček (1969)

Aplikace matematiky

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A weak solution to the boundary-value problems both in the Mindlin's theory of elasticity with microstructure and in the first strain-gradient theory is defined for the statical loading of bounded, inhomogeneous and anisotropic bodies. Its existence, uniqueness and continuous dependence upon the given data is proved and the principles of minimum potential energy and minimum complementary energy are establshed.