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Linear approximation in Continuum Mechanics

Giuseppe Grioli — 1994

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

Some critical remarks are made about the theory of Linear Elasticity, questioning on its validity in general. An alternative linear approximation of the exact theory is proposed.

Proprietà variazionali nella meccanica dei continui. Nota I

Giuseppe Grioli — 1973

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

A variational property of the stress which is present in a Continuum with finite deformations is established, in two different types. The first type is significant from a heuristic point of view, whilst the second one is directly connected with the basic integration problem of the elastic equilibrium.

Proprietà variazionali nella meccanica dei continui. Nota II

Giuseppe Grioli — 1973

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

A variational property is established, of the stress which is present in a Continuum with finite deformations, in two different types. The first type is significant from a heuristic point of view, whilst the second one is directly connected with the basic integration problem of the elastic equilibrium.

Sulla propagazione di onde termomeccaniche nei continui

Giuseppe Grioli — 1979

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

It is proposed a theory of propagation of discontinuity waves which is not affected by the paradox of an infinite velocity of propagation of temperature. The theory is based on a constitutive equation of differential type for the heat flux, depending on the deformation of material. Applications are made concerning the case of a non viscous fluid and that of an elastic body.

Sulla propagazione di onde termomeccaniche nei continui

Giuseppe Grioli — 1979

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

It is proposed a theory of propagation of discontinuity waves which is not affected by the paradox of an infinite velocity of propagation of temperature. The theory is based on a constitutive equation of differential type for the heat flux, depending on the deformation of material. Applications are made concerning the case of a non viscous fluid and that of an elastic body.

Microstrutture. Nota II

Giuseppe Grioli — 1970

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

Continuing the first lecture with the same title, sufficient conditions which characterize from a mathematical point of view a microstructure with large deformations corresponding to a physical model are established and the general equations on thermodynamical bases are obtained.

Microstrutture. Nota I.

Giuseppe Grioli — 1970

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

Previously microstructures have been characterized by a rather abstract point of view, whose free energy, which satisfies the principle of material indifference, depends in a very general way on a not exactly established number of variables. We point out that also in the case of large deformations it is possible to conceive physical models of microstructures which admit a free energy of the type previously considered. For this purpose, in this first lecture the necessary premises of a kinematic...

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