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 dil | İngilizce |
---|---|
Sayfa (başlangıç-bitiş) | 1923-1942 |
Sayfa sayısı | 20 |
Dergi | Computers and Mathematics with Applications |
Hacim | 55 |
Basın numarası | 9 |
DOI'lar | |
Yayın durumu | Yayınlandı - May 2008 |