Liu, Z. , McBride, A. , Ghosh, A. , Heltai, L., Huang, W., Yu, T., Steinmann, P. and Saxena, P. (2023) Computational instability analysis of inflated hyperelastic thin shells using subdivision surfaces. Computational Mechanics, (doi: 10.1007/s00466-023-02366-z) (Early Online Publication)
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Abstract
The inflation of hyperelastic thin shells is a highly nonlinear problem that arises in multiple important engineering applications. It is characterised by severe kinematic and constitutive nonlinearities and is subject to various forms of instabilities. To accurately simulate this challenging problem, we present an isogeometric approach to compute the inflation and associated large deformation of hyperelastic thin shells following the Kirchhoff–Love hypothesis. Both the geometry and the deformation field are discretized using Catmull–Clark subdivision bases which provide the required C1 -continuous finite element approximation. To follow the complex nonlinear response exhibited by hyperelastic thin shells, inflation is simulated incrementally, and each incremental step is solved using the Newton–Raphson method enriched with arc-length control. An eigenvalue analysis of the linear system after each incremental step assesses the possibility of bifurcation to a lower energy mode upon loss of stability. The proposed method is first validated using benchmark problems and then applied to engineering applications, where the ability to simulate large deformation and associated complex instabilities is clearly demonstrated.
| Item Type: | Articles |
|---|---|
| Additional Information: | This work was supported by the UK Engineering and Physical Sciences Research Council (EPSRC) grants EP/R008531/1 and EP/V030833/1.We also thank for the support from the Royal Society International Exchange Scheme IES/R1/201122. Paul Steinmann gratefully acknowledges financial support for this work by the Deutsche Forschungsgemeinschaft under GRK2495, projects B & C. Tiantang Yu acknowledges the support from the National Natural Science Foundation of China (NSFC) under Grant Nos. 11972146 and 12272124. |
| Status: | Early Online Publication |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | McBride, Professor Andrew and Saxena, Dr Prashant and Steinmann, Professor Paul and Ghosh, Mr Abhishek and Liu, Dr Zhaowei |
| Authors: | Liu, Z., McBride, A., Ghosh, A., Heltai, L., Huang, W., Yu, T., Steinmann, P., and Saxena, P. |
| College/School: | College of Science and Engineering > School of Engineering College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Computational Mechanics |
| Publisher: | Springer |
| ISSN: | 0178-7675 |
| ISSN (Online): | 1432-0924 |
| Published Online: | 17 July 2023 |
| Copyright Holders: | Copyright © 2023 The Author(s) |
| First Published: | First published in Computational Mechanics 2023 |
| Publisher Policy: | Reproduced under a Creative Commons license |
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