Sullo stress e sulla deformazione di una microstruttura
In the present work an extension of a classical Menabrea’s theorem on a variational principle of the second potential energy is considered. Such extension deals with hyperelastic micropolar media without constraints.
In the present work an extension of a classical Menabrea’s theorem on a variational principle of the second potential energy is considered. Such extension deals with hyperelastic micropolar media without constraints.
In a previous paper I have proved that in a subclass of viscous fluids with structure some longitudinal acceleration waves are possible. In this Note I state their law of decay when the fluid is at rest in its unperturbed region. Waves carrying discontinuities in the third derivatives of the velocity are induced, whereas in some particular cases also waves carrying discontinuities in the second derivatives of the velocity are induced.
Propagation of acceleration waves is impossible in classical viscous fluids. One could suppose that the same could occur in case of viscous fluids with structure. Speaking of adiabatic or isothermal cases I have found that propagation of acceleration waves is actually possible in a subclass of such continua. Only longitudinal waves carrying discontinuities in the first derivatives of the velocity are possible but not waves carrying discontinuities in the first derivatives of the angular velocity....
A. Bressan fonda la sua teoria relativistica dei materiali di ordine n su una relativizzazione del gradiente n-simo della posizione ottenuta mediante derivazione su una superficie totalmente geodetica e tempo ortogonale. D'altra parte Lianis, nella sua teoria di elasticità relativistica, introduce una relativizzazione del gradiente primo di posizione, differente almeno concettualmente da quello di Bressan, espresso in coordinate ottiche mediante derivazione della posizione sulla ipersuperfice ...
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