Temperature and stress distribution in a non-simple elastic elliptical plate due to point impulsive heat sources
Abstract
The paper attempts to
determine the thermoelastic stresses in a thin elliptical plate made up of non-simple elastic material subjected to point
impulsive time-dependent source of heat moving with constant velocity over the
specified finite portion. The temperature
field in the plate has been considered when the sectional heat supply is
continuously distributed along the circumference of an ellipse over the upper face with zero temperature on the lower
face, and thermally insulated curved
edge. The solution is formulated
involving the Mathieu and modified functions by employing the Laplace transform
technique. The analytical solution for the thermal stress components is
obtained using Airy’s stress function with mechanical boundary conditions as stress-free.
Numerical results are also obtained.
References
- Dr. Kishor R. GaikwadPost Graduate Department of Mathematics,NES, Science College, Nanded, M.S., India-431602Email- drkr.gaikwad@yahoo.in
- Dr. Namdeo W. KhobragadePost Graduate Department of Mathematics, MJP Educational Campus,RTM Nagpur University, Nagpur – 440 033, IndiaEmail- khobragade_nw@rediffmail.com
- Dr. Naresh K. Choubey,Department of MathematicsGovernment Model Science College,Pachpedi, Jabalpur (MP) - 482001, IndiaEmail- nk_choube@rediffmail.com
- Dr. Chen Weiqiu,Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. ChinaEmail- chenwq@zju.edu.cn
- Dr. Ahmet N. Eraslan,Department of Engineering SciencesMiddle East Technical UniversityAnkara 06531, TurkeyEmail- aeraslan@metu.edu.tr
Abstract
References
- Dr. Kishor R. GaikwadPost Graduate Department of Mathematics,NES, Science College, Nanded, M.S., India-431602Email- drkr.gaikwad@yahoo.in
- Dr. Namdeo W. KhobragadePost Graduate Department of Mathematics, MJP Educational Campus,RTM Nagpur University, Nagpur – 440 033, IndiaEmail- khobragade_nw@rediffmail.com
- Dr. Naresh K. Choubey,Department of MathematicsGovernment Model Science College,Pachpedi, Jabalpur (MP) - 482001, IndiaEmail- nk_choube@rediffmail.com
- Dr. Chen Weiqiu,Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. ChinaEmail- chenwq@zju.edu.cn
- Dr. Ahmet N. Eraslan,Department of Engineering SciencesMiddle East Technical UniversityAnkara 06531, TurkeyEmail- aeraslan@metu.edu.tr
Details
| Primary Language | English |
|---|---|
| Journal Section | Regular Original Research Article |
| Authors | |
| Publication Date | May 23, 2019 |
| Published in Issue | Year 2019 |