Equilibrium states of stratified two-phase bodies under given boundary loads
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 134-151
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An elastic body with the classical double-well potental is considered. It is assumed that the hydrostatic pressure is given on the boundary of the body and the surface-tension coefficient is zero. It is shown that equilibrium states, describing the strarifield distribution of phases, cannot be local minimizers of the energy functional.
@article{ZNSL_2002_288_a6,
author = {V. G. Osmolovskii},
title = {Equilibrium states of stratified two-phase bodies under given boundary loads},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {134--151},
publisher = {mathdoc},
volume = {288},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a6/}
}
V. G. Osmolovskii. Equilibrium states of stratified two-phase bodies under given boundary loads. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 32, Tome 288 (2002), pp. 134-151. http://geodesic.mathdoc.fr/item/ZNSL_2002_288_a6/