On Norms of Force Functionals and Stress Representations
Résumé
Forces in continuum mechanics are analyzed as 0-currents of geometric measure theory. The representation of forces by stresses is discussed and the flat norm of a force is expressed in terms of stress fields. An analogous treatment expresses the Sobolev norm of a force in terms of stress fields. In both cases, one obtains bounds on the stress fields that are in equilibrium with a given force. The analysis is universal in the sense that it is independent of any constitutive relation.
Domaines
Mécanique [physics.med-ph]
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On_norms_of_force_functionals_and_stress_representations.pdf (191.82 Ko)
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