Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial material are studied. The material is modeled as a combination of Neo-Hookean and Fung materials. Two types of pressure loads are studied - distributed radial forces and deformation-dependent pressure. The static responses of the shell under these two loads differ essentially at moderate strains, while the behavior is similar for small loads. The principal difference is that the axial displacements are much larger for the shell under distributed radial forces, while for actual pressure the shell is stretched both in circumferential and axial directions. Free and forced vibrations around preloaded configurations are analyzed. In both cases, the nonlinearity of the single-mode (driven mode) response of the preloaded shell is quite weak, but a resonant regime with both driven and companion modes active has been found with more complicated nonlinear dynamics.

Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material / Breslavsky, Ivan D.; Amabili, Marco; Legrand, Mathias. - In: JOURNAL OF APPLIED MECHANICS. - ISSN 0021-8936. - 83:5(2016), p. 051002. [10.1115/1.4032549]

Static and Dynamic Behavior of Circular Cylindrical Shell Made of Hyperelastic Arterial Material

Amabili, Marco;
2016

Abstract

Static and dynamic responses of a circular cylindrical shell made of hyperelastic arterial material are studied. The material is modeled as a combination of Neo-Hookean and Fung materials. Two types of pressure loads are studied - distributed radial forces and deformation-dependent pressure. The static responses of the shell under these two loads differ essentially at moderate strains, while the behavior is similar for small loads. The principal difference is that the axial displacements are much larger for the shell under distributed radial forces, while for actual pressure the shell is stretched both in circumferential and axial directions. Free and forced vibrations around preloaded configurations are analyzed. In both cases, the nonlinearity of the single-mode (driven mode) response of the preloaded shell is quite weak, but a resonant regime with both driven and companion modes active has been found with more complicated nonlinear dynamics.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2852449
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