Hamiltonian Structure and Conservation Laws of Three-Dimensional Linear Elasticity Theory

D. O. Bykov, V. N. Grebenev, S. B. Medvedev

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Abstract

This is a continuation of the paper [5] wherein the Hamiltonian structure together with the non-canonical singular Poisson bracket and Casimir functionals were established for two-dimensional linear elasticity model. The aim of the present work is the extension of the above-mentioned results to the three-dimension case.

Original languageEnglish
Title of host publicationNonlinear Physical Science
EditorsAlbert C. J. Luo, Rafail K. Gazizov
PublisherSpringer Science and Business Media Deutschland GmbH
Chapter3
Pages99-123
Number of pages25
Edition1
ISBN (Electronic)978-981-16-4683-6
ISBN (Print)978-981-16-4682-9, 978-981-16-4685-0
DOIs
Publication statusPublished - 2021

Publication series

NameNonlinear Physical Science
ISSN (Print)1867-8440
ISSN (Electronic)1867-8459

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 29 PHYSICS

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