Computation of the Second Variation of the Energy Functional of a Two-Phase Medium
Computation of the Second Variation of the Energy Functional of a Two-Phase Medium
复制标题
两相介质能量泛函的第二变式的计算
DOI：
10.1023/a:1011363304028
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发表时间：
2001
影响因子：
--
通讯作者：
V. Osmolovskii
中科院分区：
文献类型：
--
作者：
V. Kucher;V. Osmolovskii
在泛函的临界点推导了两相弹性介质能量泛函的二次变分公式。给出了剩余部分的估计值。假设位移的临界场和相界面的临界边界足够光滑。计算是在弹性介质占据的域内以及该域的边界与相界面的边界的交点附近进行的。参考书目：6个标题。
A formula for the second variation of the energy functional ofa 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 domai and the boundary of the interface of the phases. Bibliography: 6 titles.