Computation of the second variation of the energy functional of a two-phase medium

V. A. Kucher, V. G. Osmolovskii

Research output

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)2929-2951
Number of pages23
JournalJournal of Mathematical Sciences
Volume106
Issue number3
DOIs
Publication statusPublished - 1 Jan 2001

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Computation of the second variation of the energy functional of a two-phase medium'. Together they form a unique fingerprint.

Cite this