An approach to weak balance laws in Continuum Mechanics is presented, involving densities with only divergence measure, which relies on the balance of power. An equivalence theorem between Cauchy powers and Cauchy fluxes is proved. As an application of this method, the construction of the stress tensor when the body is an orientable differential manifold is achieved under very general assumptions.
Marzocchi, A., Musesti, A., Balanced virtual powers in continuum mechanics, <<MECCANICA>>, 2003; 38 (3): 369-389. [doi:10.1023/A:1023301303945] [http://hdl.handle.net/10807/130910]
Balanced virtual powers in continuum mechanics
Marzocchi, AlfredoCo-primo
;Musesti, AlessandroCo-primo
2003
Abstract
An approach to weak balance laws in Continuum Mechanics is presented, involving densities with only divergence measure, which relies on the balance of power. An equivalence theorem between Cauchy powers and Cauchy fluxes is proved. As an application of this method, the construction of the stress tensor when the body is an orientable differential manifold is achieved under very general assumptions.
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