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- W2981646172 abstract "Study on an incompressible nonlinear hyperelastic thin-walled toroidal mem- brane of circular cross-section subjected to inflation due to a uniform pressure is conducted in this work. Comparisons are made for three elastic constitutive mod- els (neo-Hookean, Mooney–Rivlin, and Ogden) and for different geometric aspect ratios (ratio of the radius of cross-section to the radius of revolution). A variational approach is used to derive the equations of equilibrium and bifurcation. An analysis of the pressure–deformation plots shows occurrence of the well-known limit point (snap through) instabilities in membrane. Calculations are performed to study the elastic buckling point to predict bifurcation of solution corresponding to loss of symmetry. Tension field theory is employed to study the wrinkling instability that, in this case, typically occurs near the inner regions of tori with large aspect ratios." @default.
- W2981646172 created "2019-11-01" @default.
- W2981646172 creator A5026860484 @default.
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- W2981646172 date "2019-12-13" @default.
- W2981646172 modified "2023-10-02" @default.
- W2981646172 title "Instabilities in the free inflation of a nonlinear hyperelastic toroidal membrane" @default.
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- W2981646172 doi "https://doi.org/10.2140/jomms.2019.14.473" @default.
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