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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(4):481-488; doi:10.1093/qjmam/23.4.481
© 1970 by Oxford University Press
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FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL MEMBRANE REINFORCED WITH INEXTENSIBLE CORDS

A. D. KYDONIEFS

( Center for the Application of Mathematics, Lehigh University Bethlehem, Pennsylvania )

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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