Effect of Rotation in an Orthotropic Elastic Slab
The fundamental equations of the two dimensional generalized thermoelasticity (L-S model) with one relaxation time parameter in orthotropic elastic slab has been considered under effect of rotation. The normal mode analysis is used to the basic equations of motion and heat conduction equation. Final...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2017-02-01
|
| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Effect-of-Rotation-in-an-Orthotropic-Elastic-Slab,167081,0,2.html |
| _version_ | 1797750528699006976 |
|---|---|
| author | S. Santra A. Lahiri N.C. Das |
| author_facet | S. Santra A. Lahiri N.C. Das |
| author_sort | S. Santra |
| collection | DOAJ |
| description | The fundamental equations of the two dimensional generalized thermoelasticity (L-S model) with one relaxation time parameter in orthotropic elastic slab has been considered under effect of rotation. The normal mode analysis is used to the basic equations of motion and heat conduction equation. Finally, the resulting equations are written in the form of a vector-matrix differential equation which is then solved by the eigenvalue approach. The field variables in the space time domain are obtained numerically. The results corresponding to the cases of conventional thermoelasticity CTE), extended thermoelasticity (ETE) and temperature rate dependent thermoelasticity (TRDTE) are compared by means of graphs. |
| first_indexed | 2024-03-12T16:34:03Z |
| format | Article |
| id | doaj.art-011205811e924d2d844e1aa25a04d1be |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:34:03Z |
| publishDate | 2017-02-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-011205811e924d2d844e1aa25a04d1be2023-08-08T14:57:18ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032017-02-0122116317410.1515/ijame-2017-0010167081Effect of Rotation in an Orthotropic Elastic SlabS. Santra0A. Lahiri1N.C. Das2Department of Mathematics, Gargi Memorial Institute of Technology, Kolkata-700144, IndiaDepartment of Mathematics, Jadavpur University, Kolkata-700032, IndiaDepartment of Mathematics, Brainware Group of Institutions, Barasat- 700127, IndiaThe fundamental equations of the two dimensional generalized thermoelasticity (L-S model) with one relaxation time parameter in orthotropic elastic slab has been considered under effect of rotation. The normal mode analysis is used to the basic equations of motion and heat conduction equation. Finally, the resulting equations are written in the form of a vector-matrix differential equation which is then solved by the eigenvalue approach. The field variables in the space time domain are obtained numerically. The results corresponding to the cases of conventional thermoelasticity CTE), extended thermoelasticity (ETE) and temperature rate dependent thermoelasticity (TRDTE) are compared by means of graphs.https://www.ijame-poland.com/Effect-of-Rotation-in-an-Orthotropic-Elastic-Slab,167081,0,2.htmlorthotropic elastic slabnormal mode analysiseffect of rotation |
| spellingShingle | S. Santra A. Lahiri N.C. Das Effect of Rotation in an Orthotropic Elastic Slab International Journal of Applied Mechanics and Engineering orthotropic elastic slab normal mode analysis effect of rotation |
| title | Effect of Rotation in an Orthotropic Elastic Slab |
| title_full | Effect of Rotation in an Orthotropic Elastic Slab |
| title_fullStr | Effect of Rotation in an Orthotropic Elastic Slab |
| title_full_unstemmed | Effect of Rotation in an Orthotropic Elastic Slab |
| title_short | Effect of Rotation in an Orthotropic Elastic Slab |
| title_sort | effect of rotation in an orthotropic elastic slab |
| topic | orthotropic elastic slab normal mode analysis effect of rotation |
| url | https://www.ijame-poland.com/Effect-of-Rotation-in-an-Orthotropic-Elastic-Slab,167081,0,2.html |
| work_keys_str_mv | AT ssantra effectofrotationinanorthotropicelasticslab AT alahiri effectofrotationinanorthotropicelasticslab AT ncdas effectofrotationinanorthotropicelasticslab |