The question is examined, whether the formally straightforward extension of Hooke's time-honoured stress-strain relation to the four dimensions of special and of general relativity can make physical sense. The four-dimensional Hooke's law is found able to account for the inertia of matter; in the at space, slow motion approximation the field equations for the "displacement" four-vector field can encompasss both linear elasticity and inertia. In this limit one just recovers the equations of motion of the classical theory of elasticity.
A four-dimensional Hooke's law can encompass linear elasticity and inertia
MIHICH, LUIGI
1999-01-01
Abstract
The question is examined, whether the formally straightforward extension of Hooke's time-honoured stress-strain relation to the four dimensions of special and of general relativity can make physical sense. The four-dimensional Hooke's law is found able to account for the inertia of matter; in the at space, slow motion approximation the field equations for the "displacement" four-vector field can encompasss both linear elasticity and inertia. In this limit one just recovers the equations of motion of the classical theory of elasticity.File in questo prodotto:
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