The solution of Navier equations of classical elasticity using Lie symmetry groups

T. Özer*

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12 Atıf (Scopus)

Özet

The analytical solutions of axially-symmetric Navier equations in classical elasticity are found by applying Lie group theory. We investigate two different systems of partial differential equations corresponding elastostatics and elastodynamics problems, and find similarity solutions of both cases by solving the reduced system of ordinary differential equations which have fewer independent variables. As an example of the elastostatics case, the displacements and stress components are obtained for porous, polymeric foam material by using similarity solutions.

Orijinal dilİngilizce
Sayfa (başlangıç-bitiş)193-201
Sayfa sayısı9
DergiMechanics Research Communications
Hacim30
Basın numarası2
DOI'lar
Yayın durumuYayınlandı - 2003

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