Open Access Journal

ISSN : 2456-1304 (Online)

International Journal of Engineering Research in Electronics and Communication Engineering(IJERECE)

Monthly Journal for Electronics and Communication Engineering

Open Access Journal

International Journal of Science Engineering and Management (IJSEM)

Monthly Journal for Science Engineering and Management

ISSN : 2456-1304 (Online)

Thermoelastic Problem of Semi-Infinite Annular Beam: Inverse Problem

Author : Varsha Chapke 1 N. W. Khobragade 2

Date of Publication :14th October 2020

Abstract: This paper is concerned with inverse thermoelastic problem in which we need to determine the temperature distribution, unknown temperature gradient, displacement function and thermal stresses of a semi-infinite annular beam when the boundary conditions are known. Integral transform techniques are used to obtain the solution of the problem.

Reference :

    1.  N. M. Ozisik., Boundary Value Problem of Heat Conduction, International Textbook Company Scranton, Pennsylvania, 1968
    2. K. W. Khobragade; V. Varghese and N.W. Khobragade, An inverse transient thermoelastic problem of a thin annular disc, Appl. Math. E-Notes, 6, pp.17-25. 2005
    3. V. Varghese and N. W. Khobragade, Transient thermoelastic analysis in thin annular disc with radiation type boundaries conditions, International Journal of Pure and Applied Mathematics, vol. 41, No. 5, 601-616, 2007
    4. Payal Hiranwar and N.W. Khobragade, Thermoelastic problem of a thin annular disc due to radiation, Int. Journal of Pure and Appl. Maths, Vol. 71, No. 3, pp.403-414, 2011
    5. N. K. Lamba and N.W. Khobragade, Thermal stresses of a thin annular disc due to partially distributed heat supply, Int. Journal of Latest Trends in Maths, Vol. 1, No. 1, pp.18-22, 2011
    6. R. T. Walde and N. W. Khobragade, Inverse thermoelastic problem of a thin annular disc due to heat generation, Canadian Journal on Science and Engg. Mathematics Research, Vol. 3 No. 2, pp. 48-51, 2012
    7. R. T. Walde and N.W. Khobragade, Thermal deflection of a clamped annular disc due to heat generation, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1, pp. 1-3, 2012
    8. C. S. Sutar and N.W. Khobragade, Solution of an inverse thermoelastic problem of heat conduction with internal heat generation in an annular disc, Int. Journal of Mathematics Research, Vol. 5, No.2, pp. 257-264, 2012
    9. N.W. Khobragade, Thermoelastic analysis of a thick annular disc with radiation conditions, Int. J. of Engg. And Information Technology, vol. 3, Issue 5, pp. 120-127, 2013
    10. N.W. Khobragade, Thermal deflection of an annular disc due to heat generation, Int. J. of Engg. And Information Technology, vol. 3, Issue 5, pp.461-465, 2013
    11. A. Navlekar; M. S. Warbhe and N. W. Khobragade, Heat transfer and thermal stresses of a thick annular disc due to heat generation. IJEIT Volume 4, Issue 9, pp. 35-39, 2015
    12. Ovais A. Ahmed; N. W. Khobragade and L. H. Khalsa, Optimum thermal stresses of a thick annular disc due to partially distributed heat supply, IJEIT Volume 6, Issue 1, pp 1-4, 2016
    13. S. S. Singru and N. W. Khobragade, Integral transform methods for inverse problem of heat conduction with known boundary of semi-infinite hollow cylinder and its stresses , IJLTEMAS Volume 6, Issue 4, pp 05-09, 2017.
    14. R. N. Pakade and N. W. Khobragade, Transient thermoelastic problem of semi-Infinite circular beam with internal heat sources, IJLTEMAS Volume 6, Issue 6, pp 47-53, 2017
    15. V. Fule, M. S. Warbhe and N. W. Khobragade, Thermal Stresses of Semi-Infinite Hollow Cylinder with Internal Heat Source, Int Journal of Latest Technology in Engg, Management & Appl Sci (IJLTEMAS) Vol. VII, Issue II, pp. 29-34 , 2018.

    1.  N. M. Ozisik., Boundary Value Problem of Heat Conduction, International Textbook Company Scranton, Pennsylvania, 1968
    2. K. W. Khobragade; V. Varghese and N.W. Khobragade, An inverse transient thermoelastic problem of a thin annular disc, Appl. Math. E-Notes, 6, pp.17-25. 2005
    3. V. Varghese and N. W. Khobragade, Transient thermoelastic analysis in thin annular disc with radiation type boundaries conditions, International Journal of Pure and Applied Mathematics, vol. 41, No. 5, 601-616, 2007
    4. Payal Hiranwar and N.W. Khobragade, Thermoelastic problem of a thin annular disc due to radiation, Int. Journal of Pure and Appl. Maths, Vol. 71, No. 3, pp.403-414, 2011
    5. N. K. Lamba and N.W. Khobragade, Thermal stresses of a thin annular disc due to partially distributed heat supply, Int. Journal of Latest Trends in Maths, Vol. 1, No. 1, pp.18-22, 2011
    6. R. T. Walde and N. W. Khobragade, Inverse thermoelastic problem of a thin annular disc due to heat generation, Canadian Journal on Science and Engg. Mathematics Research, Vol. 3 No. 2, pp. 48-51, 2012
    7. R. T. Walde and N.W. Khobragade, Thermal deflection of a clamped annular disc due to heat generation, Int. Journal of Latest Trends in Maths, Vol. 2, No. 1, pp. 1-3, 2012
    8. C. S. Sutar and N.W. Khobragade, Solution of an inverse thermoelastic problem of heat conduction with internal heat generation in an annular disc, Int. Journal of Mathematics Research, Vol. 5, No.2, pp. 257-264, 2012
    9. N.W. Khobragade, Thermoelastic analysis of a thick annular disc with radiation conditions, Int. J. of Engg. And Information Technology, vol. 3, Issue 5, pp. 120-127, 2013
    10. N.W. Khobragade, Thermal deflection of an annular disc due to heat generation, Int. J. of Engg. And Information Technology, vol. 3, Issue 5, pp.461-465, 2013
    11. A. Navlekar; M. S. Warbhe and N. W. Khobragade, Heat transfer and thermal stresses of a thick annular disc due to heat generation. IJEIT Volume 4, Issue 9, pp. 35-39, 2015
    12. Ovais A. Ahmed; N. W. Khobragade and L. H. Khalsa, Optimum thermal stresses of a thick annular disc due to partially distributed heat supply, IJEIT Volume 6, Issue 1, pp 1-4, 2016
    13. S. S. Singru and N. W. Khobragade, Integral transform methods for inverse problem of heat conduction with known boundary of semi-infinite hollow cylinder and its stresses , IJLTEMAS Volume 6, Issue 4, pp 05-09, 2017.
    14. R. N. Pakade and N. W. Khobragade, Transient thermoelastic problem of semi-Infinite circular beam with internal heat sources, IJLTEMAS Volume 6, Issue 6, pp 47-53, 2017
    15. V. Fule, M. S. Warbhe and N. W. Khobragade, Thermal Stresses of Semi-Infinite Hollow Cylinder with Internal Heat Source, Int Journal of Latest Technology in Engg, Management & Appl Sci (IJLTEMAS) Vol. VII, Issue II, pp. 29-34 , 2018.

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