Термопружний стан кусково-неоднорідної термочутливої трансверсально-ізотропної кулі
Determination the thermoelastic state caused by a centrally symmetric temperature field and surface loads in layered hollow transversally-isotropic sphere with regard to the dependence on temperature and coordinate of physical-mechanical characteristics (PMC). The problem of thermoelasticity has bee...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2018
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2468 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | Determination the thermoelastic state caused by a centrally symmetric temperature field and surface loads in layered hollow transversally-isotropic sphere with regard to the dependence on temperature and coordinate of physical-mechanical characteristics (PMC). The problem of thermoelasticity has been reduced to solving the system of integro-algebraic equations regarding radial displacements, which were obtained from the integral representation of the solution of an appropriate problem for an ordinary differential equation with generalized derivatives. In addition we used Green's function of elasticity problem for layered transversally-isotropic sphere with constant PMC of components. Numerical studies were carried out for a three-layered sphere with temperature-dependent PMC. Cite as: Protsyuk B. V. Thermoelastic state of piecewise inhomogeneous thermosen-sitive transversally-isotropic sphere // Appl. Probl. Mech. Math. – 2017. – No. 15. – С. 71–80. [In Ukrainian] |
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