• Home
  • Effect of Thermosensitivity on Heat Conduction and Stresses of a Multilayered Annular Disk

Share To

Article Url


Manuscript ID : JSM-2210-1755 (R1) Visit : 220 Page: 198 - 216

https://doi.org/10.60664/jsm.2023.2101755

20.1001.1.20083505.2023.15.2.6.5

Article Type: Original Research

Effect of Thermosensitivity on Heat Conduction and Stresses of a Multilayered Annular Disk

Subject Areas : Mechanics of Solids

Ganesh Kedar 1 , V.B. Srinivas 2 , V.R Manthena 3

1 - Department of Mathematics, RTM Nagpur University, Nagpur, India
2 - Department of Mathematics, RTM Nagpur University, Nagpur, India
3 - Department of Mathematics, Priyadarshini J. L. College of Engineering, Nagpur, India

Received: 2023-03-07 Accepted : 2023-05-03 Published : 2023-06-01

Keywords: Multilayered annular disk, Temperature Dependent, Thermal stresses, integral transform, Thermal deflection,

Abstract :

This paper deals with the analysis of temperature, deflection and thermal stresses of a multilayered annular disk. The thermo-mechanical properties of the disk are taken to be temperature dependent. Using Kirchhoff’s variable transformation, the non-linear heat conduction equation is reduced to a linear form. Finite integral transform, Fourier series and Fourier transform techniques are used to solve the heat conduction equation and the desired solution is obtained in series form. Deflection, thermally induced resultant moments and the corresponding thermal stresses are determined. Numerical analysis is carried out for a three layered annular disk and the results are depicted graphically. Thermosensitivity plays a vital role in the thermal profile of the multilayered disk. In the temperature dependent case, the radial stress suddenly becomes compressive in the middle region, whereas it is tensile throughout all the regions in the temperature independent case. Due to the inhomogeneous thermal conductivity considered in the form of exponential function, the temperature and the corresponding thermoelastic quantities shows the lag along radial direction.

References:


  1. Noda N., 1986, Thermal stresses in materials with temperature dependent properties, Thermal Stresses 241: 391-483.
    2.
  2. Olcer N.Y., 1968, A general unsteady heat flow problem in a finite composite hollow circular cylinder under boundary conditions of second kind, Nuclear Engineering and Design 7(2): 97-112.
    3.
  3. Gorman D.G., 1985, Thermal gradient effects upon the vibrations of certain composite circular plates, Part I: Plane Orthotropic, Journal of Sound and Vibration 101(3): 325-336.
    4.
  4. Popovych S., Fedai B.N., 1997, The axisymmetric problem of thermoelasticity of a multilayer thermosensitive tube, Journal of Mathematical Sciences 86: 2605-2610.
    5.
  5. Popovych V.S., Makhorkin I.M., 1998, On the solution of heat conduction problems for thermosensitive bodies, Journal of Mathematical Sciences 88: 352-359.
    6.
  6. Malzbender J., Jülich F., 2004, Mechanical and thermal stresses in multilayered materials, Journal of Applied Physics 95(4): 1780-1782.
    7.
  7. Kayhani M., Nourouzi M., Delooei A.A., 2010, An exact solution of axi-symmetric conductive heat transfer in cylindrical composite laminate under the general boundary condition, International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering 4: 776-783.
    8.
  8. Singh S., 2010, Analytical solution of time-dependent multilayer heat conduction problems for nuclear applications, Proceedings of the 1st International Nuclear and Renewable Energy Conference (INREC10), Amman, Jordan.
    9.
  9. Singh S., Jain P., Rizwan-uddin, 2011, Finite integral transform method to solve asymmetric heat conduction in a multilayer annulus with time-dependent boundary conditions, Nuclear Engineering and Design 241(1): 144-154.
    10.
  10. Kayhani M., Nourouzi M., Delooei A.A., 2012, A general analytical solution for heat conduction in cylindrical multilayer composite laminates, International Journal of Thermal Sciences 52: 73-82.
    11.
  11. Norouzi M., Delooei A.A., and Seilsepour M., 2013, A general exact solution for heat conduction in multilayer spherical composite laminates, Composite Structures 106: 288-295.
    12.
  12. Dalir N., Nourazar S.S., 2014, Analytical solution of the problem on the three-dimensional transient heat conduction in a multilayer cylinder, Journal of Engineering Physics and Thermophysics 87: 89-97.
    13.
  13. Popovych V.S., Kalynyak B.M., 2016, Mathematical modeling and methods for the determination of the static thermoelastic state of multilayer thermally sensitive cylinders, Journal of Mathematical Sciences 215: 218-242.
    14.
  14. Torabi M., Zhang K., 2016, Analytical solution for transient temperature and thermal stresses within convective multilayer disks with time-dependent internal heat generation, Part I: Methodology, Journal of Thermal Stresses 39(4): 398-413.
    15.
  15. Manthena V.R., Lamba N.K., Kedar G.D., 2017, Thermal stress analysis in a functionally graded hollow elliptic-cylinder subjected to uniform temperature distribution, Applications and Applied Mathematics 12(1): 613-632.
    16.
  16. Manthena V.R., Lamba N.K., Kedar G.D., 2017, Thermoelastic analysis of a nonhomogeneous hollow cylinder with internal heat generation, Applications and Applied Mathematics 12(2): 946-967.
    17.
  17. Bhad P.P., Varghese V., Khalsa L., 2017, Heat production in a simply supported multilayer elliptic annulus composite plate and its associated thermal stresses, Journal of Stress Analysis 2(2): 55-67.
    18.
  18. Wang Y.Z., Liu D., Wang Q., Zhou J.Z., 2018, Thermoelastic interaction in functionally graded thick hollow cylinder with temperature-dependent properties, Journal of Thermal Stresses 41(4): 399-417.
    19.
  19. Manthena V.R., Kedar G.D., 2018, Transient thermal stress analysis of a functionally graded thick hollow cylinder with temperature dependent material properties, Journal of Thermal Stresses 41(5): 568-582.
    20.
  20. Manthena V.R., 2019, Uncoupled thermoelastic problem of a functionally graded thermosensitive rectangular plate with convective heating, Archive of Applied Mechanics 89(8): 1627-1639.
    21.
  21. Manthena V.R., Srinivas V.B., Kedar G.D., 2020, Analytical solution of heat conduction of a multilayered annular disk and associated thermal deflection and thermal stresses, Journal of Thermal Stresses 43(5): 563-578.
    22.
  22. Singh R.V., Mukhopadhyay S., 2020, An investigation on strain and temperature rate-dependent thermoelasticity and its infinite speed behavior, Journal of Thermal Stresses 43(3): 269-283.
    23.
  23. Zenkour A.M., 2020, Thermal-shock problem for a hollow cylinder via a multi-dual-phase-lag theory, Journal of Thermal Stresses 43(6): 687-706.
    24.
  24. Bhoyar S., Varghese V., Khalsa L., 2021, Axisymmetric thermoelastic response in a semi-elliptic plate with Kassir’s nonhomogeneity in the thickness direction, Applications and Applied Mathematics 16(1): 481-502.
    25.
  25. Bawankar L.C., Kedar G.D., 2021, Memory response of magneto-thermoelastic problem due to the influence of modified Ohm’s law, Applications and Applied Mathematics 16(1): 503-523.
    26.
  26. Gheisari M., Najafizadeh M.M., Nezamabadi A.R., Jafari S., Yousefi, P., 2021, Thermal buckling analysis of porous conical shell on elastic foundation, Journal of Solid Mechanics 13(1): 37-53.
    27.
  27. Dehghanpour S., Nezamabadi A.R., Attar M.M., Barati F., Tajdari M., 2021, Experimental and numerical investigation on geometric parameters of aluminum patches for repairing cracked parts by diffusion method, Journal of Solid Mechanics 13(1): 54-67.
    28.
  28. Adolfsson E., 2021, Steady-periodic thermal stresses in an infinite hollow compound cylinder, Journal of Thermal Stresses 44(9): 1150-1168.
    29.
  29. Mahakalkar A., Varghese V., 2021, Thermoelastic analysis of annular sector plate under restricted boundaries amidst elastic reaction, Journal of Solid Mechanics 13(3): 325-337.
    30.
  30. Mirparizi M., Shariyat M., Fotuhi A.R., 2021, Large deformation hermitian finite element coupled thermoelasticity analysis of wave propagation and reflection in a finite domain, Journal of Solid Mechanics 13(4): 485-502.
    31.
  31. Hosseini M., Arani A.G., Karamizadeh M., Niknejad Sh., Hosseinpour A., 2022, Static and dynamic stability analysis of thick CNT reinforced beams resting on pasternak foundation under axial and follower forces, Journal of Solid Mechanics 14(1): 1-16.
    32.
  32. Keshavarzian M., Najafizadeh M.M.,Khorshidi K., Yousefi P., Alavi M., 2022, Improved high-order analysis of linear vibrations of a thick sandwich panel with an electro-rheological core by using exponential shear deformation theory, Journal of Solid Mechanics 14(1): 37-56.
    33.
  33. Eslami M.R., Jabbari M., Sabet A.E., 2022, Elasticity exact solution for an FGM cylindrical shaft with piezoelectric layers under the saint-venant torsion by using prandtl’s formulation, Journal of Solid Mechanics 14(2): 147-170.
    34.
  34. Arani A.G., Niknejad Sh.,Mihankhah A., Safari I., 2022, Dynamic stability analysis of bi-directional functionally graded beam with various shear deformation theories under harmonic excitation and thermal environment, Journal of Solid Mechanics 14(3): 272-290.
    35.
  35. Noda N., Hetnarski R.B., Tanigawa Y., 2003, Thermal Stresses, Taylor & Francis, New York.
    36.

Related articles

The rights to this website are owned by the Raimag Press Management System.
Copyright © 2021-2024

Home| Login| About Us| Contact Us|
[فارسی] [العربية] [fa] [ar]