We propose an analytic method of determining all the components of the residual stress tensor in optic fibers. The method is based on solving a plane problem for a cylindrical structure with singular stresses. We obtain closed-form solutions of the problem in the case of a piecewise-constant distribution of free deformations that model the presence of inclusions in the fiber with different values of the thermal coefficient of expansion. We also consider inclusions with cross sections in the shape of a circle, a central ellipse and a central annular sector. We describe the results obtained on this basis in the computation of residual thermal stresses.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 34, 1991, pp. 79–83.
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Kushnir, R.M., Prokopovich, I.B. Computation of thermal residual stresses in optic fibers. J Math Sci 66, 2626–2630 (1993). https://doi.org/10.1007/BF01097871
- Residual Stress
- Thermal Stress
- Stress Tensor
- Optic Fiber
- Plane Problem