TY - JOUR
T1 - Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure
T2 - A benchmark for finite element codes
AU - Breslavsky, I.D.
AU - Amabili, M.
AU - Legrand, M.
AU - Alijani, Farbod
PY - 2016
Y1 - 2016
N2 - The axisymmetric deformations of thick circular rings are investigated. Four materials are explored: linear material, incompressible Neo-Hookean material and Ogden's and Bower's forms of compressible Neo-Hookean material. Radial distributed forces and a displacement-dependent pressure are the external loads. This problem is relatively simple and allows analytical, or semi-analytical, solution; therefore it has been chosen as a benchmark to test commercial finite element software for various material laws at large strains. The solutions obtained with commercial finite element software are almost identical to the present semi-analytical ones, except for the linear material, for which commercial finite element programs give incorrect results.
AB - The axisymmetric deformations of thick circular rings are investigated. Four materials are explored: linear material, incompressible Neo-Hookean material and Ogden's and Bower's forms of compressible Neo-Hookean material. Radial distributed forces and a displacement-dependent pressure are the external loads. This problem is relatively simple and allows analytical, or semi-analytical, solution; therefore it has been chosen as a benchmark to test commercial finite element software for various material laws at large strains. The solutions obtained with commercial finite element software are almost identical to the present semi-analytical ones, except for the linear material, for which commercial finite element programs give incorrect results.
KW - Circular rings
KW - Pressure
KW - Hyperelasticity
KW - Non-linear deformations
U2 - 10.1016/j.ijnonlinmec.2016.04.011
DO - 10.1016/j.ijnonlinmec.2016.04.011
M3 - Article
SN - 0020-7462
VL - 84
SP - 39
EP - 45
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
ER -