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We consider the axisymmetric deformations of an initially cylindrical membrane composed of an elastic, homogeneous, isotropic and incompressible material possessing a strain energy function and reinforced by two families of perfectly flexible and inextensible helicoidal cords. The solutions obtained include a wide range of deformations and they are valid for the general strain energy function. Applications to specific boundary-value problems are also given.
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A.D. Kydoniefs (1970) studied this question.
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