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Warianty tytułu
Języki publikacji
Abstrakty
In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work.
Rocznik
Tom
Strony
76--87
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
autor
- Pillai College of Engineering, New Panvel Navi Mumbai, Maharashtra, INDIA
autor
- PSGVPM’s A.S.C.College, Shahada Maharashtra, INDIA
Bibliografia
- [1] Cattaneo C. (1958): A Form of Heat Conduction Equation Which Eliminates the Paradox of Instantaneous Propagation.– CompteRendus, pp.431-433.
- [2] Vernotte M. (1958): Les paradoxes de la theorie continue del equation de la chaleur.– Comptes Hebdomadaires Des Seances De Academie Des Science, vol.246, pp.3154-3155.
- [3] Sundara Raja Iyengar K.T. and Chandrashekhara K. (1966): Thermal stresses in rectangular plates.– Applied Scientific Research, section A, vol.15, No.1, pp.141-160.
- [4] Tanigawa Yoshinobu and Komatsubara Yasuo (1997): Thermal stress analysis of a rectangular plate and its thermal stress intensity factor for compressive stress field.– Journal of Thermal Stresses, vol.20, No.5, pp.517-542.
- [5] Sugano Y. (1980): Transient thermal stresses in an orthotropic finite rectangular plate due to arbitrary surface heat-generations.– Nuclear Engineering and Design, vol.59, pp.379-393.
- [6] Kukla J.K. (2008): Temperature distribution in rectangular plate heated by a moving heat source.– International Journal of Heat and Mass Transfer, vol.51, No.3, pp.865-872.
- [7] Deshmukh K.C., Khandait M.V. and Rajneesh Kumar (2014): Thermal stresses in a simply supported plate with thermal bending moments with heat sources.– Material Physics and Mechanics, vol.21, pp.135-146.
- [8] Chaudhari K.K. and Sutar C.S. (2016): Outcomes of thermal stresses concerning by internal moving point heat source in rectangular plate.– IJIET, vol.7, No.3, pp.276-282.
- [9] Manthane V.R., Lamba N.K.and Kedar G.D. (2017): Transient thermoelastic problem of a non-homogeneous rectangular plate.– Journal of Thermal Stress, vol.40, No.5, pp.627-640.
- [10] Węgrzyn-Skrzypczak E. (2019): Discontinuous Galerkin method for the three-dimensional problem of thermoelasticity.– Journal of Applied Mathematics and Computational Mechanics, vol.14, No.4, pp.115-126.
- [11] Chen Z.T. and Hu K.Q. (2012): Thermo-elastic analysis of a cracked half-plane under a thermal shock impact using the hyperbolic heat conduction theory.– Journal of Thermal Stresses, vol.35, pp.342-362.
- [12] Sarkar N. (2020): Thermoelastic responses of a finite rod due to nonlocal heat conduction.– Acta Mech., vol.231, pp.947–955. doi:https://doi.org/10.1007/s00707-019-02583-9.
- [13] Al-Qahtani H. and Yilbas B.S. (2010): The closed form solutions for Cattaneo and stress equations due to step input pulse heating.– Physica B, vol.405, pp.3869–3874.
- [14] Mohamed M. S. and Gepreel K. A. (2017): Reduced differential transform method for nonlinear integral member of Kadomtsev–Petviashvili hierarchy differential equations.– Journal of the Egyptian Mathematical Society, vol.25, pp.1-7.
- [15] Taghizadeh N. and Moosavi Noori S. R. (2017): Reduced differential transform method for parabolic-like and hyperbolic-like equations.–SeMA, vol.74, pp.559-567.
- [16] Chaudhari K.K. and Sutar C.S. (2019): Thermoelastic response of a rectangular plate under hyperbolic heat conduction model in differential transform domain.– International Journal of Engineering and Advanced Technology, vol.9, No.1, pp.692-699.
- [17] Noda N., Hetnarski R.B. and Tanigawa Y. (2002): Thermalstresses (second ed.).– London,UK: Taylor &Francis.
- [18] Sherief H. H. and Anwar M.N. (1994): Two-dimensional generalized thermoelasticity problem for an infinitely long cylinder.– Journal of Thermal Stresses, vol.17, No.2, pp.213-227.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1572fae0-2190-4d88-8eee-f134b1f7f7e3