The Wrinkled Axisymmetric Air Bags Made of Inextensible Membrane

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Abstract
The wrinkling phenomenon is a consequence of the presence of a negative principal stress resultant. This condition, together with certain geometric compatibility conditions, is used to determine the locations and geometry of wrinkled zones. The governing equation is nonlinear but can be reduced to a quadrature. The shape of the air bag without azimuthal stress resultant is determined in terms of an elliptic integral.

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