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.

Keywords

• Thermal load,elliptical plate,heat conduction,stresses,Mathieu functions

References

1. Dr. Kishor R. GaikwadPost Graduate Department of Mathematics,NES, Science College, Nanded, M.S., India-431602Email- [e-mail]
2. Dr. Namdeo W. KhobragadePost Graduate Department of Mathematics, MJP Educational Campus,RTM Nagpur University, Nagpur – 440 033, IndiaEmail- [e-mail]
3. Dr. Naresh K. Choubey,Department of MathematicsGovernment Model Science College,Pachpedi, Jabalpur (MP) - 482001, IndiaEmail- [e-mail]
4. Dr. Chen Weiqiu,Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P. R. ChinaEmail- [e-mail]
5. Dr. Ahmet N. Eraslan,Department of Engineering SciencesMiddle East Technical UniversityAnkara 06531, TurkeyEmail- [e-mail]