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Zap. Nauchn. Sem. POMI, 1999 Volume 259, Pages 182–194 (Mi znsl1056)

Matching of two modes of the registration of surface energy for a problem about phase transitions in a thermoelasticity

V. G. Osmolovskii

Saint-Petersburg State University

Abstract: In the present paper matching two modes of the registration of a ourface energy in a problem about phase transitions in the theory of a thermoelasticity will be arried out. In the first mode the surface energy is considered of a proportional interfacial area of phases. In the second case the surface energy is taken into account by an indirect fashion, as an integral from highiv derivatives of a field of displacements. The likenesses and differences of association of equilibrium states from parameters for two different of a regularization are become clear.

UDC: 517.9

Received: 05.01.1999


 English version:
Journal of Mathematical Sciences (New York), 2002, 109:5, 1940–1949

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