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

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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International Journal of Non-Linear Mechanics, Elsevier, 2016, <10.1016/j.ijnonlinmec.2016.04.011>
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https://hal.archives-ouvertes.fr/hal-01339533
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Soumis le : mercredi 29 juin 2016 - 20:03:09
Dernière modification le : jeudi 30 juin 2016 - 15:02:26

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Ivan Breslavsky, Marco Amabili, Mathias Legrand, Farbod Alijani. Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes. International Journal of Non-Linear Mechanics, Elsevier, 2016, <10.1016/j.ijnonlinmec.2016.04.011>. <hal-01339533>

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