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An application of symmetry groups to nonlocal continuum mechanics

✍ Scribed by Teoman Özer

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
407 KB
Volume
55
Category
Article
ISSN
0898-1221

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✦ Synopsis

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.

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