Abstract
Finite deformations with wrinkling for isotropic elastic membranes of arbitrary initial shape are discussed. The shape of the deformed membrane in a wrinkled region is governed by a parabolic equation that does not involve material properties, and the stress field is governed by an elliptic system that involves the scalar force-stretch function. For axisymmetric deformations of surfaces of revolution, solution of these equations involves only integration and function inversion.
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