Stress Singularity in an Elastic Cylinder of Cylindrically Anisotropic Materials |
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Authors: | Jiann-Quo Tarn |
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Institution: | (1) Department of Civil Engineering, National Cheng Kung University, Tainan, 70101, Taiwan, ROC |
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Abstract: | The issue of stress singularity in an elastic cylinder of cylindrically anisotropic materials is examined in the context of
generalized plane strain and generalized torsion. With a viewpoint that the singularity may be attributed to a conflicting
definition of anisotropy at r=0, we study the problem through a compound cylinder in which the outer cylinder is cylindrically anisotropic and the core
is transversely isotropic. By letting the radius of the core go to zero, the cylinder becomes one with the central axis showing
no conflict in the radial and tangential directions. Closed-form solutions are derived for the cylinder under pressure, extension,
torsion, rotation and a uniform temperature change. It is found that the stress is bounded everywhere, and singularity does
not occur if the anisotropy at r=0 is defined appropriately.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | stress singularity cylinder cylindrical anisotropy generalized plane strain torsion |
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