TY - JOUR
T1 - The solution of Navier equations of classical elasticity using Lie symmetry groups
AU - Özer, T.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
KW - Lie groups
KW - Navier equations
KW - Similarity solutions
UR - http://www.scopus.com/inward/record.url?scp=0037366847&partnerID=8YFLogxK
U2 - 10.1016/S0093-6413(02)00365-8
DO - 10.1016/S0093-6413(02)00365-8
M3 - Article
AN - SCOPUS:0037366847
SN - 0093-6413
VL - 30
SP - 193
EP - 201
JO - Mechanics Research Communications
JF - Mechanics Research Communications
IS - 2
ER -