Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni
On some finite part of the upper surface of the infinite layer the temperature is given as a function of place and time, on the remaining part and on the lower surface the temperature equals zero. The general solution of the thermoelastic problem for this layer is obtained. The symmetric and antisy...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
1974-06-01
|
| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2404 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1839633275323154432 |
|---|---|
| author | K.K. Kajdarow |
| author_facet | K.K. Kajdarow |
| author_sort | K.K. Kajdarow |
| collection | DOAJ |
| description |
On some finite part of the upper surface of the infinite layer the temperature is given as a function of place and time, on the remaining part and on the lower surface the temperature equals zero. The general solution of the thermoelastic problem for this layer is obtained. The symmetric and antisymmetric temperature fields are considered separately. The quasi-static approximation and the solution of the dynamic problem are derived by means of integral transforms and thermoelastic potential. The boundary conditions are corrected on solving the homogeneous Lamé equations with the aid of Lurie's method of initial functions. Heating of rectangular and circular regions constituting parts of planes bounding the layer is considered as an example. In the dynamic case the solution is expressed by the inverse Laplace transforms.
|
| format | Article |
| id | doaj-art-0639e040e95d4d55aee94e2040602dd7 |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1974-06-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-0639e040e95d4d55aee94e2040602dd72025-07-11T05:00:03ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711974-06-01222Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej PowierzchniK.K. Kajdarow0Pawłodar On some finite part of the upper surface of the infinite layer the temperature is given as a function of place and time, on the remaining part and on the lower surface the temperature equals zero. The general solution of the thermoelastic problem for this layer is obtained. The symmetric and antisymmetric temperature fields are considered separately. The quasi-static approximation and the solution of the dynamic problem are derived by means of integral transforms and thermoelastic potential. The boundary conditions are corrected on solving the homogeneous Lamé equations with the aid of Lurie's method of initial functions. Heating of rectangular and circular regions constituting parts of planes bounding the layer is considered as an example. In the dynamic case the solution is expressed by the inverse Laplace transforms. https://et.ippt.pan.pl/index.php/et/article/view/2404 |
| spellingShingle | K.K. Kajdarow Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni Engineering Transactions |
| title | Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni |
| title_full | Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni |
| title_fullStr | Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni |
| title_full_unstemmed | Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni |
| title_short | Nieustalone Naprężenia Temperaturowe w Nieograniczonej Warstwie Sprężystej, Wywołane Ogrzaniem Części jej Powierzchni |
| title_sort | nieustalone naprezenia temperaturowe w nieograniczonej warstwie sprezystej wywolane ogrzaniem czesci jej powierzchni |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2404 |
| work_keys_str_mv | AT kkkajdarow nieustalonenaprezeniatemperaturowewnieograniczonejwarstwiesprezystejwywołaneogrzaniemczescijejpowierzchni |