Remarks on bifurcation of an inflated and extended swellable isotropic tube
Moradalizadeh S. Topol H. Demirkoparan H. Melnikov A. Markert B. Merodio J.
March 2024SAGE Publications Inc.
Mathematics and Mechanics of Solids
2024#29Issue 3474 - 493 pp.
We consider a tubular membrane whose mechanical behavior is defined by a strain energy density function that combines the neo-Hookean model with the Demiray model. Both, the neo-Hookean and the Demiray models are isotropic material models, which found their application in the modeling of the mechanical behavior of biological soft tissue. This tubular membrane is subjected to an inner pressure, an axial stretch, and a change in the material volume due to swelling or deswelling. The interplay between the cylinder geometry and the loading conditions and different instability modes, namely, bulging bifurcation, bending bifurcation, and prismatic bifurcation, are studied. It is shown that a change in the material volume has a strong effect on the occurrence of these bifurcation modes because a change in the material volume may stabilize the cylinder against a particular bifurcation mode and may trigger another bifurcation mode at the same time. Despite the restriction to isotropic material behavior, this article shows that the material response to pressure, axial stretch, and material volume change is quite complex.
bending bifuctation , Bulging bifurcation , Demiray model , prismatic bifurcation
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Laboratorio de Estructuras, Department of Continuum Mechanics and Structures, ETS de Ingenieros de Caminos, Canales y Puertos, Universidad Politecnica de Madrid, Madrid, Spain
Institute of General Mechanics, RWTH Aachen University, Aachen, Germany
Carnegie Mellon University in Qatar, Doha, Qatar
Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Astana, Kazakhstan
Departamento de Matematica Aplicada a las TIC, ETS de Ingenieria de Sistemas Informaticos, Universidad Politecnica de Madrid, Madrid, Spain
Laboratorio de Estructuras
Institute of General Mechanics
Carnegie Mellon University in Qatar
Department of Mathematics
Departamento de Matematica Aplicada a las TIC
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