Bifurcation of fiber reinforced inflated membranes with different natural configurations of the constituents
PAMM, vol. 22
Abstract
Abstract This article studies the inflation and bulging of fiber‐reinforced hyperelastic membranes. A neo‐Hookean model describes the mechanical behavior of the ground substance, and a relatively standard reinforcing model describes the mechanical behavior of fibers. The natural configuration of the constituents may differ, for example, because the fiber may be pre‐stretched in comparison to the natural configuration of the ground substance. Additionally, the fibers may be dispersed. Both the pre‐stretch and dispersion of the fibers have an effect on the formation of a bulge. The results explore how material stiffness ratios and fiber arrangements are involved in initiating bulging instabilities. The herein presented results may provide a contribution to understanding the formation of aneurysms.
Authors 5
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Affiliation as printed
Institute of General Mechanics RWTH Aachen University Eilfschornsteinstraße 18 52062 Aachen Germany
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Carnegie Mellon University · Carnegie Mellon University Qatar
Affiliation as printed
Carnegie Mellon University in Qatar P.O. Box 24866 Doha Qatar
Carnegie Mellon University in Qatar P.O. Box 24866 Doha Qatar
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Affiliation as printed
Institute of General Mechanics RWTH Aachen University Eilfschornsteinstraße 18 52062 Aachen Germany
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Affiliation as printed
Institute of General Mechanics RWTH Aachen University Eilfschornsteinstraße 18 52062 Aachen Germany
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Universidad Politécnica de Madrid
Affiliation as printed
Departamento de Matemática Aplicada a las TIC ETS de Ingeniería de Sistemas Informáticos Universidad Politécnica de Madrid 28031 Madrid Spain
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References 21
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