Sulla struttura analitica dell'energia libera e sulle equazioni costitutive nel caso di trasformazioni reversibili per un continuo di Cosserat
Su talune proprietà cinematico geometriche dei moti di precessione
The motion of a rigid body about a fixed point is characterised by a rotation matrix. Some kinematical and geometric properties of the rotation matrix are put in evidence in correspondence to the precession motions.
Sull'equilibrio termoelastico di un particolare solido incomprimibile
We consider an incompressible elastic solid which admits a configuration of equilibrium having the shape of a rectangular parallelepiped when external forces are absent. We look for a thermoelastic transformation mapping that configuration onto a cylindrical wedge . The problem we consider is analogous to the one where both and are cylindrical crowns. This case has been considered by T. Manacorda Referring to a system of cylindrical coordinates , and , we show that the transformation...
Sull'equilibrio termoelastico di un particolare solido incomprimibile
We consider an incompressible elastic solid which admits a configuration of equilibrium having the shape of a rectangular parallelepiped when external forces are absent. We look for a thermoelastic transformation mapping that configuration onto a cylindrical wedge . The problem we consider is analogous to the one where both and are cylindrical crowns. This case has been considered by T. Manacorda Referring to a system of cylindrical coordinates , and , we show that the transformation...
General and physically privileged solutions to certain symmetric systems of linear P.D.E.s with tensor functionals as unknowns
We characterize the general solutions to certain symmetric systems of linear partial differential equations with tensor functionals as unknowns. Then we determine the solutions that are physically meaningful in suitable senses related with the constitutive functionals of two simple thermodynamic bodies with fading memory that are globally equivalent, i.e. roughly speaking that behave in the same way along processes not involving cuts. The domains of the constitutive functionals are nowhere dense...
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