Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes
| Autor: | Marco Amabili, Mathias Legrand, Farbod Alijani, Ivan D. Breslavsky |
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| Přispěvatelé: | Department of Mechanical Engineering [Montréal], McGill University = Université McGill [Montréal, Canada], Structural Dynamics and Vibration Laboratory [Montréal], McGill University = Université McGill [Montréal, Canada]-McGill University = Université McGill [Montréal, Canada] |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Ogden Applied Mathematics Mechanical Engineering Hyperelasticity Rotational symmetry Circular rings 02 engineering and technology Mixed finite element method Mechanics 01 natural sciences Finite element method 010101 applied mathematics [SPI]Engineering Sciences [physics] 020303 mechanical engineering & transports Classical mechanics 0203 mechanical engineering Mechanics of Materials Simple (abstract algebra) Hyperelastic material Pressure Compressibility Benchmark (computing) 0101 mathematics Non-linear deformations |
| Zdroj: | International Journal of Non-Linear Mechanics International Journal of Non-Linear Mechanics, Elsevier, 2016, 84, pp.39-45. ⟨10.1016/j.ijnonlinmec.2016.04.011⟩ |
| ISSN: | 0020-7462 |
| DOI: | 10.1016/j.ijnonlinmec.2016.04.011 |
| Popis: | International audience; 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.Highlights: 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. |
| Databáze: | OpenAIRE |
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