Email this article Integral Equation for the Radial Stresses in a Radially Inhomogeneous Heat-Sensitive Hollow Sphere
- Authors: Artemyuk V.Y.1, Kalynyak B.M.2
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Affiliations:
- “L’vivs’ka Politekhnika” National University
- Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 223, No 2 (2017)
- Pages: 132-144
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239307
- DOI: https://doi.org/10.1007/s10958-017-3343-2
- ID: 239307
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Abstract
We determine the thermal stressed state of a heat-sensitive radially inhomogeneous hollow sphere for given constant loads acting on its surfaces and a known temperature field inside the sphere. The corresponding problem of thermoelasticity in stresses is reduced to the solution of the Fredholm integral equation of the second kind for the radial component of the stress tensor. The influence of temperature dependences of the characteristics of radially inhomogeneous material on the stresses and displacements is investigated.
About the authors
V. Yu. Artemyuk
“L’vivs’ka Politekhnika” National University
Email: Jade.Santos@springer.com
Ukraine, Lviv
B. M. Kalynyak
Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Lviv
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