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


Ozer T.

MECHANICS RESEARCH COMMUNICATIONS, cilt.30, ss.193-201, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0093-6413(02)00365-8
  • Dergi Adı: MECHANICS RESEARCH COMMUNICATIONS
  • Sayfa Sayıları: ss.193-201

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. (C) 2002 Elsevier Science Ltd. All rights reserved.