Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling
We analyze bifurcation for a cylindrical membrane capable of swelling subjected to combined axial loading and internal pressure. The material is conceptualized as an isotropic and absorbent matrix (it can swell when it is exposed to some swelling agent, for instance) containing nonabsorbing fibers....
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2023-01-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_17657_e1e38fd555cdf90ddb798fba5ea54020.pdf |
| _version_ | 1811195247986737152 |
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| author | Heiko Topol Murtadha J. Al-Chlaihawi Hasan Demirkoparan José Merodio |
| author_facet | Heiko Topol Murtadha J. Al-Chlaihawi Hasan Demirkoparan José Merodio |
| author_sort | Heiko Topol |
| collection | DOAJ |
| description | We analyze bifurcation for a cylindrical membrane capable of swelling subjected to combined axial loading and internal pressure. The material is conceptualized as an isotropic and absorbent matrix (it can swell when it is exposed to some swelling agent, for instance) containing nonabsorbing fibers. More in particular, fibers are symmetrically arranged in two helically distributed families which are (also) mechanically equivalent. Arterial wall tissue has been modeled using this theoretical framework. The matrix of the membrane is taken to be a swellable neo-Hookean material. The swollen membrane is then inflated and axially stretched so that the circular cylindrical geometry is initially preserved. Nevertheless, prismatic, bulging, and bending (composite) bifurcation conditions are analyzed. It is shown that for membranes with and without fibers, prismatic bifurcation does not play a major role. On the other hand, bending and bulging are feasible for fiber-reinforced membranes. Results capture the onset of bifurcation configurations corresponding to bending and bulging and highlight possible coupling during postbifurcation as it might occur, for example, in the formation and development of an abdominal aortic aneurysm. |
| first_indexed | 2024-04-12T00:39:08Z |
| format | Article |
| id | doaj.art-01e2dc820cfa4e9bbfc7c60a6612f490 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 |
| language | English |
| last_indexed | 2024-04-12T00:39:08Z |
| publishDate | 2023-01-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-01e2dc820cfa4e9bbfc7c60a6612f4902022-12-22T03:55:03ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362023-01-019111312810.22055/jacm.2022.40949.367717657Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and SwellingHeiko Topol0Murtadha J. Al-Chlaihawi1Hasan Demirkoparan2José Merodio3Institute of General Mechanics, RWTH Aachen University, Eilfschornsteinstr. 18, 52062 Aachen, GermanyCivil Engineering Department, University of Al-Qadisiyah, 58001 Al-Qadisiyah, IraqCarnegie Mellon University in Qatar, P.O. Box 24866, Doha, QatarDepartamento de Matemtica Aplicada a las TIC, ETS de Ingeniera de Sistemas Informticos, Universidad Politecnica de Madrid, SpainWe analyze bifurcation for a cylindrical membrane capable of swelling subjected to combined axial loading and internal pressure. The material is conceptualized as an isotropic and absorbent matrix (it can swell when it is exposed to some swelling agent, for instance) containing nonabsorbing fibers. More in particular, fibers are symmetrically arranged in two helically distributed families which are (also) mechanically equivalent. Arterial wall tissue has been modeled using this theoretical framework. The matrix of the membrane is taken to be a swellable neo-Hookean material. The swollen membrane is then inflated and axially stretched so that the circular cylindrical geometry is initially preserved. Nevertheless, prismatic, bulging, and bending (composite) bifurcation conditions are analyzed. It is shown that for membranes with and without fibers, prismatic bifurcation does not play a major role. On the other hand, bending and bulging are feasible for fiber-reinforced membranes. Results capture the onset of bifurcation configurations corresponding to bending and bulging and highlight possible coupling during postbifurcation as it might occur, for example, in the formation and development of an abdominal aortic aneurysm.https://jacm.scu.ac.ir/article_17657_e1e38fd555cdf90ddb798fba5ea54020.pdfbulging bifurcationbending bifurcationprismatic bifurcationswellingfibershyperelasticity |
| spellingShingle | Heiko Topol Murtadha J. Al-Chlaihawi Hasan Demirkoparan José Merodio Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling Journal of Applied and Computational Mechanics bulging bifurcation bending bifurcation prismatic bifurcation swelling fibers hyperelasticity |
| title | Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling |
| title_full | Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling |
| title_fullStr | Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling |
| title_full_unstemmed | Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling |
| title_short | Bifurcation of Fiber-Reinforced Cylindrical Membranes under Extension, Inflation, and Swelling |
| title_sort | bifurcation of fiber reinforced cylindrical membranes under extension inflation and swelling |
| topic | bulging bifurcation bending bifurcation prismatic bifurcation swelling fibers hyperelasticity |
| url | https://jacm.scu.ac.ir/article_17657_e1e38fd555cdf90ddb798fba5ea54020.pdf |
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