Symmetry group classification for two-dimensional elastodynamics problems in nonlocal elasticity

Teoman Özer*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

In this study the symmetry groups of two-dimensional elastodynamics problems in nonlocal elasticity are identified and classified. The determining equations are found, and then the differential equations are obtained that include the kernel function and the independent term. The symmetry group classification is determined by using these differential equations and solutions of the determining equations.

Original languageEnglish
Pages (from-to)2193-2211
Number of pages19
JournalInternational Journal of Engineering Science
Volume41
Issue number18
DOIs
Publication statusPublished - Nov 2003

Keywords

  • Integro-differential equations
  • Theory of Lie groups
  • Theory of nonlocal elasticity

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