An application of symmetry groups to nonlocal continuum mechanics

Teoman Özer*

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15 Atıf (Scopus)

Özet

In this study the symmetry group properties of the one-dimensional elastodynamics problem in nonlocal continuum mechanics is discussed by using an approach developed for symmetry group analysis of integro-differential equations with general form. This approach is based on the modification of the invariance criterion of the differential equations, which include nonlocal variables and integro-differential operators. Lie point symmetries of the nonlocal elasticity equation are obtained based on solving nonlocal determining equations by using a new approach. The symmetry groups for different types of kernel function and the free term including the classical linear elasticity case are presented.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)1923-1942
Sayfa sayısı20
DergiComputers and Mathematics with Applications
Hacim55
Basın numarası9
DOI'lar
Yayın durumuYayınlandı - May 2008

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