Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Finite inflation of a hyperelastic toroidal membrane over a cylindrical rim
The present paper is devoted to the study of finite inflation of a hyperelastic toroidal membrane on a cylindrical rim under uniform internal pressure. Both compliant and rigid frictionless rims have been considered. The compliant cylindrical rim is modeled as a linear distributed stiffness. The initial cross-section of the torus is assumed to be circular, and the membrane material is assumed to be a homogeneous and isotropic Mooney–Rivlin solid. The problem is formulated as a two point boundary value problem and solved using a shooting method by employing the Nelder–Meads search technique. The optimization function is constructed on a two (three) dimensional search space for the compliant cylinder (rigid cylinder). The effect of the inflation pressure, material properties and elastic properties of the rim on the state of stretch and stress, and on the geometry of the inflated torus have been studied, and some interesting results have been obtained. The stability of the inflated configurations in terms of occurrence of the impending wrinkling state in the membrane has also been studied.
Finite inflation of a hyperelastic toroidal membrane over a cylindrical rim
The present paper is devoted to the study of finite inflation of a hyperelastic toroidal membrane on a cylindrical rim under uniform internal pressure. Both compliant and rigid frictionless rims have been considered. The compliant cylindrical rim is modeled as a linear distributed stiffness. The initial cross-section of the torus is assumed to be circular, and the membrane material is assumed to be a homogeneous and isotropic Mooney–Rivlin solid. The problem is formulated as a two point boundary value problem and solved using a shooting method by employing the Nelder–Meads search technique. The optimization function is constructed on a two (three) dimensional search space for the compliant cylinder (rigid cylinder). The effect of the inflation pressure, material properties and elastic properties of the rim on the state of stretch and stress, and on the geometry of the inflated torus have been studied, and some interesting results have been obtained. The stability of the inflated configurations in terms of occurrence of the impending wrinkling state in the membrane has also been studied.
Finite inflation of a hyperelastic toroidal membrane over a cylindrical rim
Tamadapu, Ganesh (Autor:in) / DasGupta, Anirvan (Autor:in)
International Journal of Solids and Structures ; 51 ; 430-439
2014
10 Seiten, 31 Quellen
Aufsatz (Zeitschrift)
Englisch
On the inflation of poro-hyperelastic annuli
| British Library Online Contents | 2017
On the inflation of poro-hyperelastic annuli
| British Library Online Contents | 2017
Finite Element Method Modelling of Long and Short Hyperelastic Cylindrical Tubes
| Springer Verlag | 2021
Nucleation of finite cracks in hyperelastic materials
| Springer Verlag | 2020