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Numerical simulation of the oscillatory behaviour of hyperelastic structures subjected to internal pressure

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2019-10-04
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2019-10-04
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Abstract
The aim of this thesis is to analyze the oscillatory behaviour of hyperelastic membranes subjected to an internal pressure. Using a thin-walled cylindrical model, the dynamic expansion of the membrane is studied considering six different material constitutive models, three of the Mooney-Rivlin class and three of the Ogden class. The analytical solution of the cylindrical membrane response to a constant internal pressure is analyzed applying the mathematical models of each of the constitutive models, which are theoretically obtained. These results are compared with the numerical solution obtained by using finite elements simulations. In order to verify the accuracy of the analytical solution and study the different responses caused by the different constitutive models. The cylindrical membrane response is compared to the response of a spherical membrane in order to analyze the influence of the geometry configuration in the oscillatory behaviour of the model. Finally, the validity of the thin-walled assumption is assessed.
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Oscillatory behaviour, Hyperelastic membranes, Internal pressure, Expansion
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