Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes |
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| Institution: | 1. Departamento de Ingeniería Mecánica, Universidad de Chile, Beauchef 851, Santiago Centro, Santiago, Chile;2. Department of Mathematics, Khalifa University of Science and Technology, United Arab Emirates;3. Zienkiewicz Centre for Computational Engineering, College of Engineering, Swansea University, Swansea, United Kingdom |
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| Abstract: | 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. |
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| Keywords: | Circular rings Pressure Hyperelasticity Non-linear deformations |
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