FINITE AXISYMMETRIC DEFORMATIONS OF AN INITIALLY CYLINDRICAL MEMBRANE REINFORCED WITH INEXTENSIBLE CORDS

1 January 1970

journal article
Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics

Vol. 23 (4) , 481-488
https://doi.org/10.1093/qjmam/23.4.481

Abstract

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.

Keywords

FUNCTION
AXISYMMETRIC
CYLINDRICAL
REINFORCED
INEXTENSIBLE
COMPOSED
FLEXIBLE
ISOTROPIC
INCOMPRESSIBLE
HELICOIDAL

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