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S. Parikh¹ and M. Latorre²

¹Department of Biomedical Engineering Maastricht University, Maastricht, The Netherlands
²Center for Research and Innovation in Bioengineering Universitat Politecnica de Valencia, Valencia, Spain

doi:10.4203/ccc.6.9.5

S. Parikh, M. Latorre, "Bifurcation of compressible elastic cylinders under internal pressure and axial loading", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 6, Paper 9.5, 2023, doi:10.4203/ccc.6.9.5

Keywords: compressible materials, bifurcation analysis, cylindrical membrane .

Abstract

A theoretical formulation for the bifurcation of pressurized and axially stretched thinwalled cylinders obeying compressible hyperelastic material law is derived. Analytical solutions are provided for three bifurcation conditions, namely prismatic, symmetric, and composite. Validation of the formulation in the incompressible limit is performed by limiting the bulk modulus towards incompressibility and comparing it against bifurcation analysis for incompressible materials analyzed in previous studies. Analytical solutions are obtained for two strain energy functions. Finite element simulations are performed for validating numerically the analytical results for compressible behavior. A stabilizing effect in the critical values of deformation is observed with an increase in the compressibility of the material.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 6 PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Ivanyi, J. Kruis and B.H.V. Topping Paper 9.5 Bifurcation of compressible elastic cylinders under internal pressure and axial loading S. Parikh¹ and M. Latorre² ¹Department of Biomedical Engineering Maastricht University, Maastricht, The Netherlands ²Center for Research and Innovation in Bioengineering Universitat Politecnica de Valencia, Valencia, Spain doi:10.4203/ccc.6.9.5 Full Bibliographic Reference for this paper S. Parikh, M. Latorre, "Bifurcation of compressible elastic cylinders under internal pressure and axial loading", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 6, Paper 9.5, 2023, doi:10.4203/ccc.6.9.5 Keywords: compressible materials, bifurcation analysis, cylindrical membrane . Abstract A theoretical formulation for the bifurcation of pressurized and axially stretched thinwalled cylinders obeying compressible hyperelastic material law is derived. Analytical solutions are provided for three bifurcation conditions, namely prismatic, symmetric, and composite. Validation of the formulation in the incompressible limit is performed by limiting the bulk modulus towards incompressibility and comparing it against bifurcation analysis for incompressible materials analyzed in previous studies. Analytical solutions are obtained for two strain energy functions. Finite element simulations are performed for validating numerically the analytical results for compressible behavior. A stabilizing effect in the critical values of deformation is observed with an increase in the compressibility of the material. download the full-text of this paper (PDF, 8 pages, 358 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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