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Computation of the second variation of the energy functional of a two-phase medium. / Kucher, V. A.; Osmolovskii, V. G.
в: Journal of Mathematical Sciences , Том 106, № 3, 01.01.2001, стр. 2929-2951.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Computation of the second variation of the energy functional of a two-phase medium
AU - Kucher, V. A.
AU - Osmolovskii, V. G.
PY - 2001/1/1
Y1 - 2001/1/1
N2 - A formula for the second variation of the energy functional of a two-phase elastic medium is derived at a critical point of the functional. An estimate for the remainder is given. The critical field of displacement and the critical boundary of the interface of the phases are assumed to be sufficiently smooth. Computations are made inside a domain occupied by the elastic medium as well as in a neighborhood of the intersection of the boundary of this domain and the boundary of the interface of the phases.
AB - A formula for the second variation of the energy functional of a two-phase elastic medium is derived at a critical point of the functional. An estimate for the remainder is given. The critical field of displacement and the critical boundary of the interface of the phases are assumed to be sufficiently smooth. Computations are made inside a domain occupied by the elastic medium as well as in a neighborhood of the intersection of the boundary of this domain and the boundary of the interface of the phases.
UR - http://www.scopus.com/inward/record.url?scp=52549086567&partnerID=8YFLogxK
U2 - 10.1023/A:1011363304028
DO - 10.1023/A:1011363304028
M3 - Article
AN - SCOPUS:52549086567
VL - 106
SP - 2929
EP - 2951
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 3
ER -
ID: 42742350