Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes

作者：Breslavsky Ivan D; Amabili Marco^*; Legrand Mathias; Alijani Farbod

来源：International Journal of Non-Linear Mechanics, 2016, 84: 39-45.

DOI：10.1016/j.ijnonlinmec.2016.04.011

• Circular rings
• Pressure
• Hyperelasticity
• Non-linear deformations

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.

• 出版日期2016-9
• 单位McGill