The mathematical modeling and investigation of the stress-strain state of the three-layer thermosensitive hollow cylinder

• Autorzy: Rakocha I. , Popovych V.

Identyfikatory

DOI

10.1515/ama-2016-0027

• Języki publikacji: EN

Abstrakty

EN

Stationary temperature distribution in a three-layer infinite hollow cylinder based on the thermosensitive body model was determined. The cylinder is subjected to the steady temperature on the inner surface and on the outer one is present the convective heat exchange. In the second layer exist heat sources with parabolic dependence on radial coordinate. The components of the thermostressed state have been found. The influence of the temperature dependence of the thermal and mechanical components characteristics of materials on the temperature distribution has been investigated.

Słowa kluczowe

EN

three-layered cylinder; thermosensitive materials; temperature; thermostressed state

PL

materiały termoczułe; cylinder trójwarstwowy; rozkład temperatury

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2016
• Tom: Vol. 10, no. 3
• Strony: 181--188
• Opis fizyczny: Bibliogr. 22 poz., tab., wykr.

Twórcy

autor

Rakocha I.

• Lviv Polytechnic National University, 12 Bandera street, Lviv, Ukraine

autor

Popovych V.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NASU, 3-b Naukova street, Lviv, Ukraine

Bibliografia

• 1. Argeso H., Eraslan A. N. (2008), On use of temperature-dependent physical properties in thermomechanical calculations for solid and hollow cylinders, International journal of thermal sciences, 47(2), 136-146.
• 2. Aziz A., Torabi M. (2013), Thermal stresses in a hollow cylinder with convective boundary conditions on the inside and outside surfaces, Journal of thermal stresses, 36(10), 1096-1111.
• 3. Bazarenko N. (2008), The contact problem for hollow and solid cylinders with stress-free faces, Journal of applied mathematics and mechanics, 72(2), 214-225.
• 4. Carslaw H. S., Jaeger J. C. (1959), Conduction of heat in solids, Oxford: Clarendon Press.
• 5. Fazeli H., Abdous A., Karabi H., Moallemi N., Esmaeili M. (2013), Analysis of transient heat conduction in a hollow cylinder using Duhamel theorem, International journal of thermophysics, 34(2), 350-365.
• 6. Goto T., Suzuki M. (1996), A boundary integral equation method for nonlinear heat conduction problems with temperature dependent material properties, Internationla journal of heat and mass transfer, 39(4), 823-830.
• 7. Grzes P. (2010) Influence of thermosensitivity of materials on the temperature of a PAD/DISC systems, Acta Mechanica et Automatica, 5(4), 46-53.
• 8. Kushnir R. M., Popovych V. S. (2009), Thermoelasticity of thermosensitive solids, Spolom, Lviv (in Ukrainian).
• 9. Kushnir R. M., Popovych V. S. (2011), Heat Conduction Problems of Thermosensitive Solids under Complex Heat Exchange, In Tech.
• 10. Kushnir R. M., Protsiuk Yu. B. (2010), Thermoelastic State of Layered Thermosensitive Bodies of Revolution for the Quadratic Dependence of the Heat-Conduction Coefficients, Materials Science, 46(1), 1-15.
• 11. Lee H.-J. (1998), The effect of temperature dependent material properties on the response of piezoelectric composite materials, Journal of Intelligent Material Systems and Structures, 9(7), 503-508.
• 12. Noda N. (1991), Thermal Stresses in Materials with TemperatureDependent Properties, Applied Mechanics Reviews, 44(9), 383-397.
• 13. Och E. (2014), Frictional heating of sliding semi-spaces with simple thermal nonlinearities, Acta Mechanica et Automatica, 7(4), 236-240.
• 14. Och E. (2015), Frictional heating during sliding of two semi-spaces with arbitrary thermal nonlinearity, Acta Mechanica et Automatica, 8(4), 204-208.
• 15. Popovych V. S., Kalynyak B. M. (2014), Mathematical modeling and method of determining the static thermoelastic state of multilayered thermosensitive cylinders, Math. Methods and Phys.- Mech. Fields, 57(2), 169-186 (in Ukrainian).
• 16. Shariyat M. (2007), Thermal buckling analysis of rectangular composite plates with temperature dependent properties based on a layerwise theory, Thin-Walled Structures, 45(4), 439-452.
• 17. Shen H.-S. (2001), Thermal postbuckling behavior of imperfect shear deformable laminated plates with temperature-dependent properties, Computer Methods in Applied Mechanics and Engineering, 190(40- 41), 5377-5390.
• 18. Shi Zh., Zhang T., Xiang H. (2007), Exact solutions of heterogeneous elastic hollow cylinders, Composite structures, 79(1), 140-147.
• 19. Tanigawa Y., Akai T. (1996) Transient heat conduction and thermal stress problems of a nonhomogeneous plate with temperaturedependent material properties, Journal of Thermal Stresses, 19(1), 77-102.
• 20. Vigak V. (1999), Solutions of one-dimensional problems of elasticity and thermoelasticity for cylindrical piecewise homogeneous bodies, Journal of Mathematical Science, 96(2), 3056-3064.
• 21. Yevtuchenko A. A., Kuciej M., Och E. (2014), Influence of thermal sensitivity of the pad and disk materials on the temperature during braking, International Communications in Heat and Mass Transfer, 55, 84-92.
• 22. Zhu X. K., Chao Y. U (2002), Effect of temperature-dependent material properties on welding simulation, Computers & Structures, 80(11), 967-976.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.