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http://dx.doi.org/10.12989/sem.2016.59.5.841

Thermal stresses in a non-homogeneous orthotropic infinite cylinder  

Edfawy, E. (Mathematics Department, Faculty of Science, Taif University)
Publication Information
Structural Engineering and Mechanics / v.59, no.5, 2016 , pp. 841-852 More about this Journal
Abstract
The present paper is concerned with the investigation of propagation of thermoelastic media, the finite difference technique is used to obtain the solution for the uncoupled dynamic thermoelastic stress problem in a non-homogeneous orthrotropc thick cylindrical shell. In implementing the method, the linear dynamic thermoelasticity equations are used with the appropriate boundary and initial conditions. Thermal shock stress becomes of significant magnitude due to stress wave propagation which is initiated at the boundaries by sudden thermal loading. Numerical results have been given and illustrated graphically in each case considered. The presented results indicate that the effect of inhomogeneity is very pronounced.
Keywords
thermal stress; thermal shock; orthotropic material; thermoelastic medium; wave propagation;
Citations & Related Records
Times Cited By KSCI : 9  (Citation Analysis)
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1 Abd-Alla, A.M. and Abo-Dahab, S.M. (2009), "Time-harmonic sources in a generalized magneto-thermo viscoelastic continuum with and without energy dissipation", Appl. Math. Model., 33, 2388-2402.   DOI
2 Abd-Alla, A.M. and Mahmoud S.R. (2010), "Magneto-thermoelastic problem in rotating non-homogeneous orthotropic hollow cylinder under the hyperbolic heat conduction model", Meccanica, 45, 451-461.   DOI
3 Abd-Alla, A.M., Abd-Alla, A.N. and Zeidan, N.A. (1999), "Transient thermal stresses in a rotating nonhomogeneous cylindrically orthotropic composite tubes", J. Appl. Math. Comput., 105, 253-269.   DOI
4 Abd-Alla, A.M., Abd-Alla, A.N. and Zeidan, N.A. (2003), "Thermal stresses in a non-homogeneous orthotropic elastic multilayered cylinder", J. Therm. Stress., 23, 413-428.
5 Abd-Alla, A.M., Abo-Dahab, S.M. and Bayones, F.S. (2015), "Wave propagation in fibre-reinforced anisotropic thermoelastic medium subjected to gravity field", Struct. Eng. Mech., 53, 277-296.   DOI
6 Abd-Alla, A.M., Abo-Dahab, S.M. and Hammad, H.A.H. (2011), "Propagation of Rayleigh waves in generalized magneto-thermoelastic orthotropic material uunder initial stress and gravity field", Appl. Math. Model., 35, 2981-3000 .   DOI
7 Abd-Alla, A.M., El-Naggar, A.M. and Fahmy, M.A. (2003), "Thermal stresses in a rotating nonhomogeneous orthotropic hollow cylinder", Heat Mass Transf., 39, 625-629.   DOI
8 Abd-El-Salam, M.R., Abd-Alla, A.M. and Hosham, H.A. (2007), "Numerical solution of magneto thermoelastic problem in non-homogeneous isotropic cylinder by the finite-difference method", Appl. Math. Model., 31, 1662-1670.   DOI
9 Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., 53(6), 1143-1165.   DOI
10 Bagri, A. and Eslami, M.R. (2007), "A unified generalized thermoelasticity; solution for cylinders and spheres", Int. J. Mech. Sci., 49, 1325-1335.   DOI
11 Bagri, A. and Eslami, M.R. (2008), "Generalized coupled thermoelasticity of functionally graded annular disk considering the Lord-Shulman theory", Compos. Struct., 83, 168-179.   DOI
12 Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Compos. Part B, 60, 274-283.   DOI
13 Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431.   DOI
14 Benselama, K., El Meiche, N., Bedia, E.A.A. and Tounsi, A. (2015), "Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory", Struct. Eng. Mech., 55, 47-64.   DOI
15 Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., 14(1), 85-104.   DOI
16 Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., 18(2), 409-423.   DOI
17 El-Naggar, A.M., Abd-Alla, A.M., Ahmed, S.M. and Fahmy, M.A. (2003), "Thermal stresses in a rotating non-homogeneous orthotropic hollow cylinder", Heat Mass Transf., 39, 41-46.
18 Bousahla, A.A., Houari, M.S.A., Tounsi, A. and Adda Bedia, E.A. (2014), "A novel higher order shear and normal deformation theory based on neutral surface position for bending analysis of advanced composite plates", Int. J. Comput. Meth., 11(6), 1350082.   DOI
19 Cho, H., Kardomateas, G.A. and Valle, C.S. (1998), "Elastodynamic solution for the thermal shock stresses in an orthotropic thick cylindrical shell", J. Appl. Mech., ASME, 65, 184-193.   DOI
20 Ding, D.J., Wang, H.M. and Chen, W.O. (2003), "A solutions of a non-homogeneous orthotropic cylindrical shell for axisymmetric plane strain dynamic thermoelastic problems", J. Sound Vib., 263, 815-829.   DOI
21 Ezzat, M.A. and Youssef, H.M. (2005), "Generalized magneto-thermoelasticity in a perfectly conducting medium", Int. J. Solid. Struct., 42, 6319-633.   DOI
22 Haddow, J.B. and Mioduchowski, A. (1987), "Dynamic expansion of a compressible hyperelastic spherical shell", Acta Mechanica, 66, 205-216.   DOI
23 Hamidi, A., Houari, M.S.A., Mahmoud, S.R. and Tounsi, A. (2015), "A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates", Steel Compos. Struct., 18(1), 235-253.   DOI
24 Hebali, H., Tounsi, A., Houari, M.S.A., Bessaim, A. and Adda Bedia, E.A. (2014), "A new quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates", J. Eng. Mech., ASCE, 140, 374-383.   DOI
25 Marin, M. (1999), "An evolutionary equation in thermoelasticity of dipolar bodies", J. Math. Phys., 40(3), 1391-1399.   DOI
26 Kumar, R. and Mukhopadhyay, S. (2010), "Effects of thermal relaxation time on plane wave propagation under two-temperature thermoelasticity", Int. J. Eng. Sci., 48, 128-139.   DOI
27 Mahi, A., Adda Bedia, E.A. and Tounsi, A. (2015), "A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates", Appl. Math. Model., 39, 2489-2508.   DOI
28 Marin, M. (1995), "On existence and uniqueness in thermoelasticity of micropolar bodies", Comput. Rendus, Acad. Sci. Paris, Serie II, 321, 475-480.
29 Marin, M. and Marinics, C. (1998), "Thermoelasticity of initially stressed bodies. Asymptotic equipartition of energies", Int. J. Eng. Sci., 36(1), 73-86.   DOI
30 Meziane, A.A. (2014), "An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions", J. Sandw. Struct. Mater., 16(3), 293-318.   DOI
31 Othman, M.I.A. and Singh, B. (2007), "The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories", Int. J. Solid. Struct., 44, 2748-2762.   DOI
32 Prasad R., Kumar, R. and Mukhopadhyay, S. (2010), "Propagation of harmonic plane waves under thermoelasticity with dual-phase-lags", Int. J. Eng. Sci., 48, 2028-2043.   DOI
33 Praveen, A. and Amit, S. (2015), "Disturbance due to internal heat source in thermoplastic solid using dual phase lag model", Struct. Eng. Mech., 56, 341-354.   DOI
34 Tounsi, A., Houari, M.S.A., Benyoucef, S. and Adda Bedia, E.A. (2013), "A refined trigonometric shear deformation theory for thermoelastic bending of functionally graded sandwich plates", Aerosp. Sci. Tech., 24, 209-220.   DOI
35 Ray, C. and Majumdera, S. (2014), "Failure analysis of composite plates under static and dynamic loading", Struct. Eng. Mech., 52, 137-147.   DOI
36 Ren, J.H., Li, Y.S. and Wang, W. (2014), "A penny-shaped interfacial crack between piezoelectric layer and elastic half-space", Struct. Eng. Mech., 52, 1-17.   DOI
37 Sadd, M.H. (2005), Elasticity: theory, application, and numerics, Elsevier, Amsterdam.
38 Wang, X. (1995), "Thermal shock in a hollow cylinder caused by rapid arbitrary heating", J. Sound Vib., 183, 899-906.   DOI
39 Zidi, M., Tounsi, A., Houari, M.S.A., Adda Bedia, E.A. and Anwar Beg, O. (2014), "Bending analysis of FGM plates under hygro-thermo-mechanical loading using a four variable refined plate theory", Aerosp. Sci. Tech., 34, 24-34.   DOI