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Una nuova legge della meccanica del continuo

Lorenzoni, Giacomo

The monograph Una nuova legge della meccanica del continuo  has the following abstract:

The continuum mechanics, physical science par excellence in that it studies the world commonly perceived by the human senses, lacks its most important result consisting of a thermomechanical model of general applicability, free of approximations of laws valid for all matter and mathematically solvable. In previous works we expounded a theory which, by introducing completely new principles including the new law in question (which links density, velocity and thermodynamic pressure), came up with a system of partial differential equations conceivable to constitute the said result. This paper, in front of the need for further theoretical, numerical and experimental checks of this new general model, has the preparatory purpose of theoretically validating the said law in coherence with the continuum mechanics normally consolidated and shared. To this aim, the necessary tools of logic, tensor calculus and mathematical analysis are premised, also circumstantiating laws and principles of the state of the art. It is lastly considered the compatibility of the new law with the current general model and with its best known specifications, and a significant advantage of the new model over the current one is identified in being absent the stress constitutive equations.

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