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The Quarterly Journal of Mechanics and Applied Mathematics 1990 43(1):43-55; doi:10.1093/qjmam/43.1.43
© 1990 by Oxford University Press
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BENDING OF A CYLINDRICALLY ORTHOTROPIC CURVED BEAM WITH LINEARLY DISTRIBUTED ELASTIC CONSTANTS

G. A. KARDOMATEAS{dagger}

( Engineering Mechanics Department, General Motors Research Laboratories Warren, Michigan 48090-9055, USA )

{dagger} Present address: School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0150, USA.

We develop the analytical solution for the state of stress in pure bending of a cylindrically orthotropic curved beam with the elastic constants being linear functions of the radial distance r. The solution is found in a series form. An illustrative example shows the distortion of the stress distribution from the usual constant-modulus case. As a related problem, we also consider the case of a ring with linearly varying elastic constants through the thickness under internal and/or external pressure.


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