This paper deals with the derivation of the Euler equations for a functional having volume, surface and line densities. The formalism is employed in obtaining field equations of nonlocal continuum mechanics. Both the homogeneous and non-homogeneous cases are taken into account. Finally, the general theory is applied to the equilibrium of a nonlocal solid in a fluid.
Nonlocal variational theories for systems with an interface
CIMMELLI, Vito Antonio;
1990-01-01
Abstract
This paper deals with the derivation of the Euler equations for a functional having volume, surface and line densities. The formalism is employed in obtaining field equations of nonlocal continuum mechanics. Both the homogeneous and non-homogeneous cases are taken into account. Finally, the general theory is applied to the equilibrium of a nonlocal solid in a fluid.File in questo prodotto:
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Cimmelli & Starita, Int. J.Engng. Sci., 28 (1990), 663-675.pdf
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