Axisymmetric deformations of circular rings made of linear and Neo-Hookean materials under internal and external pressure: A benchmark for finite element codes. (September 2016)

• Record Type: Journal Article
• Authors: Breslavsky, Ivan D.; Amabili, Marco; Legrand, Mathias; Alijani, Farbod
• Is Part Of: International journal of non-linear mechanics. Volume 84(2016)
• Page Start: 39
• Page End: 45
• Publication Date: 2016-09
• Subjects: Circular rings -- Pressure -- Hyperelasticity -- Non-linear deformations; Nonlinear mechanics -- Periodicals; Mécanique non linéaire -- Périodiques; Nonlinear mechanics; Periodicals; 531
• DOI: 10.1016/j.ijnonlinmec.2016.04.011
• Languages: English
• ISSNs: 0020-7462

Abstract

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. 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.