Displaying similar documents to “Elasticity of initially stressed bodies with voids. Weak solutions”

On the existence and uniqueness of solution and some variational principles in linear theories of elasticity with couple-stresses. I: Cosserat continuum

Ivan Hlaváček, Miroslav Hlaváček (1969)

Aplikace matematiky

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A weak (generalized) solution to the boundary-value problems in Cosserat continuum is defined. Its existence, uniqueness and continuous dependence upon the given data is proved for the statical loading of bounded, inhomogeneous and anisotropic bodies. Principles of minimum potential energy, of minimum complementary energy and some generalized variational principles are established.

On the finiteness of the energy integral in elastostatics with non absolutely continuous data

Alberto Cialdea (1993)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this paper the main problem of classical elastostatics with non absolutely continuous data is considered. Necessary and sufficient conditions under which the energy integral is finite are given.

On the mechanical behaviour of laminated curved beams: a simple model which takes into account the warping effects

Luigi Ascione, Fernando Fraternali (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A mechanical one-dimensional model which describes the dynamical behaviour of laminated curved beams is formulated. It is assumed that each lamina can be regarded as a Timoshenko's beam and that the rotations of the cross sections can differ from one lamina to another. The relative displacements at the interfaces of adjacent laminae are assumed to be zero. Consequently the model includes a shear deformability, due to the warping of the cross beam section consequent to the variability...