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Nonlinear stress analysis of rubber-like thick-walled cylinder

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Abstract

This paper focuses on the behaviour of pressurised thick-walled cylinder made of incompressible isotropic nonlinearly elastic material. The study aims to analyse the behaviour and stress field of such material, which is characterised by high deformability. An analytical solution is proposed for the general form of the free strain energy function. Six different types of strain energy functions are applied to a pressurised thick-walled hollow cylinder to model the material behaviour. A closed-form analytical solution is obtained for this problem and the results predicted from classic strain energy models (neo-Hookean and Mooney–Rivlin) and those obtained by Gent, Isihara and Ogden models are compared in the prescribed case. These comparisons are done to investigate the accuracy and evaluating effectiveness of some existing constitutive models in the analysis of cylindrical vessel under pressure. Some designing factors including axial stretch and radius ratio are studied.

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Acknowledgements

The authors thank Safia Bouzidi for all the clarifications given. We thank also the editor and anonymous reviewers for their careful reading of our manuscript and their many insightful comments and suggestions, which helped us to improve the manuscript. The authors thank the General Directorate of Scientific Research and Technological Development (DGRSDT/MESRS-Algeria) for their financial support.

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Authors and Affiliations

  1. Laboratoire de Mécanique Matériaux et Energétique, Département Génie Mécanique, Faculté de Technologie, Université de Bejaia, 06000, Bejaia, Algérie

    Abdelhakim Benslimane & Mounir Methia

  2. Civil Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, BP 655, Al-Kharj, 11942, Saudi Arabia

    Mohamed Amine Khadimallah

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  1. Abdelhakim Benslimane
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Correspondence to Abdelhakim Benslimane.

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Benslimane, A., Methia, M. & Khadimallah, M.A. Nonlinear stress analysis of rubber-like thick-walled cylinder. J Rubber Res 25, 345–356 (2022). https://doi.org/10.1007/s42464-022-00180-5

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