Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure

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Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure

A benchmark for finite element codes

Journal Article (2016)

Author(s)

I.D. Breslavsky (McGill University)

M. Amabili (University of Parma, McGill University)

M. Legrand (McGill University)

Farbod Alijani (TU Delft - Mechanical Engineering, TU Delft - Mechanical Engineering)

Research Group

Micro and Nano Engineering

Pressure Hyperelasticity Circular rings Non-linear deformations

DOI related publication

https://doi.org/10.1016/j.ijnonlinmec.2016.04.011 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:e488e40a-32a7-4448-9507-fe567c79288a

More Info

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Publication Year

2016

Language

English

Research Group

Micro and Nano Engineering

Volume number

84

Pages (from-to)

39-45

Downloads counter

141

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.