Article ID Journal Published Year Pages File Type
785529 International Journal of Non-Linear Mechanics 2016 7 Pages PDF
Abstract

•Linear, incompressible and compressible Neo-Hookean materials are used.•Analytical benchmark solution to test commercial programs.•Two commercial FE programs give incorrect results for large strains and linear elastic material.

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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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