Thermoelastic Analysis of Annular Sector Plate Under Restricted Boundaries Amidst Elastic Reaction

Subject Areas : Engineering

A Mahakalkar ¹ , V Varghese ²

1 - Department of Mathematics, Mahatma Gandhi Science College, Armori, Gadchiroli, India
2 - Department of Mathematics, Smt. Sushilabai Bharti Science College, Arni, Yavatmal, India

Received: 2021-06-10 Accepted : 2021-08-12 Published : 2021-09-30

Keywords:

References:

[1] Khdeir A.A., Reddy J.N., 1991, Thermal stresses and deflections of cross-ply laminated plates using refined plate theories, Journal of Thermal Stresses 14(4): 419-438.
[2] Tsai H.H., Hocheng H., 1998, Analysis of transient thermal bending moments and stresses of the workpiece during surface grinding, Journal of Thermal Stresses 21(6): 691-711.
[3] Kim K.S., Noda N., 2002, A Green's function approach to the deflection of Definitely FGM plate under transient thermal loading, Archive of Applied Mechanics 72(127): 127-137.
[4] Na K.S., Kim J.H., 2006, Nonlinear bending response of functionally graded plates under thermal loads, Journal of Thermal Stresses 29(3): 245-261.
[5] Qian H., Zhou D., Liu W., Fang H., 2014, 3-D Elasticity solutions of simply supported laminated rectangular plates in uniform temperature field, Journal of Thermal Stresses 37(6): 661-677.
[6] Hasebe N., Han J.J., 2016, Green's function for infinite thin plate with elliptic hole under bending heat source and interaction between elliptic hole and crack under uniform bending heat flux, Journal of Thermal Stresses 39(2): 170-182.
[7] Bhad P., Varghese V., Khalsa L., 2017, Heat source problem of thermoelasticity in an elliptic plate with thermal bending moments, Journal of Thermal Stresses 40(1): 96-107.
[8] Bhad P., Varghese V., Khalsa L., 2017, A modified approach for the thermoelastic large deflection in the elliptical plate, Archive of Applied Mechanics 87(4): 767-781.
[9] Bhad P., Varghese V., Khalsa L., 2017, Thermoelastic-induced vibrations on an elliptical disk with internal heat sources, Journal of Thermal Stresses 40(4): 502-516.
[10] Dhakate T., Varghese V., Khalsa L., 2017, Integral transform approach for solving dynamic thermal vibrations in the elliptical disk, Journal of Thermal Stresses 40(9): 1093-1110.
[11] Bhoyar S., Varghese V., Khalsa L., 2019, A method to derive thermoelastic free vibration in a simply supported annulus elliptic plate, Journal of Thermal Stresses 43(2): 247-267.
[12] Mirzaei M., 2018, Thermal buckling of temperature-dependent composite super elliptical plates reinforced with carbon nanotubes, Journal of Thermal Stresses 41(7): 920-935.
[13] Elsheikh A.H., Guo J., Lee K.M., 2019, Thermal deflection and thermal stresses in a thin circular plate under an axisymmetric heat source, Journal of Thermal Stresses 42(3): 361-373.
[14] Marchi E., Diaz M., 1966, Elastic vibrations in the crowns of thin plates: part 1, Atti della Accademia delle Scienze di Torino 101(5): 739-747.
[15] Zgrablich G., Diaz M., 1966, Elastic vibrations in crowns of thin circular plate: part 2, Atti della Accademia delle Scienze di Torino 101(5): 763-770.
[16] Timoshenko S., Woinowsky-Krieger S., 1959, Theory of Plates and Shells, McGraw-Hill, New York.
[17] Ventsel E., Krauthammer T., 2001, Thin Plates and Shells, Marcel Dekker, New York.