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Warianty tytułu
Języki publikacji
Abstrakty
The aim of the present paper is to study the fundamental solution in orthotropic magneto- thermoelastic diffusion media. With this objective, firstly the two-dimensional general solution in orthotropic magnetothermoelastic diffusion media is derived. On the basis of thegeneral solution, the fundamental solution for a steady point heat source in an infinite and a semiinfinite orthotropic magnetothermoelastic diffusion material is constructed by four newly introduced harmonic functions. The components of displacement, stress, temperature distribution and mass concentration are expressed in terms of elementary functions. From the present investigation, some special cases of interest are also deduced and compared with the previously obtained results. The resulting quantities are computed numerically for infinite and semi-infinite magnetothermoelastic material and presented graphically to depict the magnetic effect.
Rocznik
Tom
Strony
195--207
Opis fizyczny
Bibliogr. 23 poz., rys.
Twórcy
autor
- Department of Mathematics, Kurukshetra University Kurukshetra-136119, Haryana (India)
autor
- Department of Mathematics, Kurukshetra University Kurukshetra-136119, Haryana (India)
Bibliografia
- [1] H.J.Ding, B.Chen, J. Liang, General Solutions for Coupled Equations in Piezoelectric Media, International Journal of Solids and Structures 33, 2283-2298 (1996).
- [2] M.L.Dunn, H.A.Wienecke, Half Space Green’s Functions for Transversely Isotropic Piezoelectric Solids, Journal ofApplied Mechanics 66, 675-679 (1999).
- [3] E. Pan, F. Tanon, Three Dimensional Green’s Functions in Anisotropic Piezoelectric Solids, International Journal ofSolids and Structures 37, 943-958 (2000).
- [4] H.J.Ding, F.L.Guo, and P.F.Hou, A general Solution for Piezothermoelasticity of Transversely Isotropic PiezoelectricMaterials and its Applications, International Journal of Engineering Science 38, 1415-1440 (2000).
- [5] B. Sharma, Thermal Stresses in Transversely Isotropic Semi-Infinite Elastic Solids, ASME Journal of Applied Mechanics 23, 86-88 (1958).
- [6] W.Q. Chen, H.J. Ding, D.S. Ling, Thermoelastic field of Transversely Isotropic Elastic Medium Containing a Penny-Shaped Crack: Exact Fundamental Solution, International Journalof Solids and Structures 41, 69-83 (2004).
- [7] P.F. Hou, A.Y.T. Leung, C.P. Chen, Green’s Functions for Semi-Infinite Transversely Isotropic Thermoelastic Materials, ZAMM Z. Angew. Math. Mech. 1, 33-41 (2008).
- [8] P.F. Hou, L. Wang, T. Yi, 2D Green’s Functions for Semi-Infinite Orthotropic Thermoelastic Plane, Applied Mathematical Modeling 33, 1674-1682 (2009).
- [9] P.F. Hou, H. Sha, C.P. Chen, 2D General Solution and Fundamental Solution for Orthotropic Thermoelastic Materials, Engineering.Analysis with Boundary Elements 45, 392-408 (2008).
- [10] S. Kaloski, W. Nowacki, Wave Propagation of Thermo- Magneto-Microelasticity, Bulletin of the Polish Academy of Sciences Technical Sciences 18 155-158 (1970).
- [11] M.I.A.Othman, Y. Song, Reflection of Magneto-Thermoelastic Waves with Two-Relaxation Times and Temperature Dependent Elastic Moduli, Applied Mathematical Modeling 32,483-500 (2008).
- [12] P.F. Hou, T. Yi, L.Wang, 2D General Solution and Fundamental Solution for Orthotropic Electro-Magneto-Thermoelastic Materials, Journal of Thermal Stresses 31, 807-822 (2008).
- [13] W. Nowacki, Dynamical Problem of Thermodiffusion in Solid – I, Bulletin ofpolish Academy of Sciences Series, Science and Technology 22, 55-64 (1974).
- [14] W. Nowacki, Dynamical Problem of Thermodiffusionin Solid – II, Bulletin of Polish Academy of Sciences Series, Science and Technology 22, 129-135 (1974).
- [15] W. Nowacki, Dynamical Problem of Thermodiffusion in Solid – III, Bulletin of Polish Academy of Sciences Series, Science and Technology 22, 275-276 (1974).
- [16] W. Nowacki, Dynamical Problems of Thermodiffusion in Solids, Proc. Vib. Prob. 15, 105-128 (1974).
- [17] H.H. Sherief, H. Saleh, A Half Space Problem in the Theory of Generalized Thermoelastic Diffusion, International Journal of Solids and Structures 42, 4484-4493 (2005).
- [18] R. Kumar, T. Kansal, Propagation of Lamb waves in transversely isotropic Thermoelastic diffusive plate, Int. J. Solid Struct. 45 (2008), pp. 5890-5913.
- [19] R. Kumar, V. Chawla , A Study of Plane Wave Propagation in Anisotropic Three-Phase-Lag and Two-Phase-Lag Model, nternational Communication in Heat and Mass Transfer 38,1262-1268 (2011).
- [20] R. Kumar, V. Chawla, A Study of Fundamental Solution in OrthotropicThermodiffusive Elastic Media, International Communication in Heat and Mass Transfer 38, 456-462 (2011).
- [21] R. Kumar, V. Chawla, Green’s Functions in Orthotropic ThermoelasticDiffusion Media, Engineering Analysis with Boundary Elements 36, 1272-1277 (2012).
- [22] M.A. Ezzat, State approach to generalized magnetothermoelastic with two-relaxation times in a medium of perfect conductivity, International Journal of Engineering Science 35, 741-752 (1997).
- [23] A.C. Eringen, Foundations and Solids, Microcontinuum Field Theories, Springer-Verlag, New York 1999.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-98180464-4301-447d-b015-255fce282677