Abstract
In the present paper, we investigate the generation of thermal stresses in a nonhomogeneous anisotropic solid cylinder rotating about the z-axis at a constant angular velocity in the presence of a magnetic field. The governing equations are solved numerically using the boundary-element method (BEM) and numerical results are obtained for the variation of the temperature, displacements, and stresses along x-axis. The effect of nonhomogeneity is investigated.
Similar content being viewed by others
References
Abd-Alla A.M. (1995). Thermal stress in a transversely isotropic circular cylinder due to an instantaneous heat source. J. Appl. Math. Comput. 68: 113–124
Abd-Alla A.M., Abd-Alla A.N. and Zeidan N.A. (1999). Transient thermal stresses in a rotation non-homogeneous cylindrically orthotropic composite tubes. J. Appl. Math. Comput. 105: 253–269
Abd-Alla A.M., El-Naggar A.M. and Fahmy M.A. (1999). Magneto-thermoelastic problem in non-homogeneous isotropic cylinder. Heat Mass Transf. 39: 625–629
Ang W.T., Clements D.L. and Vahdati N. (2003). A dual-reciprocity boundary element method for a class of elliptic boundary value problems for nonhomogeneous anisotropic media. Eng. Anal. Bound. Elem. 27: 49–55
Ang W.T., Clements D.L. and Cooke T. (1999). A complex variable boundary element method for a class of boundary value problems in anisotropic thermoelasticity. Int. J. Comput. Math. 70: 571–586
Brebbia C.A. and Nardini D. (1983). Dynamic analysis in solid mechanics by an alternative boundary element procedure. Int. J. Soil Dyn. Earthq. Eng. 2: 228–233
Clements D.L. (1973). Thermal stress in an anisotropic elastic half-space. SIAM J. Appl. Math. 24: 32–37
El-Naggar A.M., Abd-Alla A.M. and Fahmy M.A. (2004). The propagation of thermal stresses in an infinite elastic slab. Appl. Math. Comput. 157: 307–312
El-Naggar A.M., Abd-Alla A.M., Fahmy M.A. and Ahmed S.M. (2002). Thermal stresses in a rotating non-homogeneous orthotropic hollow cylinder. Heat Mass Transf. 39: 41–46
Linkov A.M. and Mogilevskaya S.G. (1994). Complex hypersingular integrals and integral equations in plane elasticity. Acta Mech. 105: 189–205
París F. and Cañas J. (1997). Boundary Element Method: Fundamentals and Applications. Oxford University Press, Oxford
ShiahY.C. Guao T.L. and Tan C.L. (2005). Two-dimensional BEM thermoelastic analysis of anisotropic media with concentrated heat sources. CMES Comput. Model. Eng. Sci. 7: 321–338
Zhu S.P., Satravaha P. and Lu X.P. (1994). Solving linear diffusion equations with the dual reciprocity method in Laplace space. Eng. Anal. Bound. Elem. 13: 1–10
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Abd-Alla, A.M., Fahmy, M.A. & El-Shahat, T.M. Magneto-thermo-elastic problem of a rotating nonhomogeneous anisotropic solid cylinder. Arch Appl Mech 78, 135–148 (2008). https://doi.org/10.1007/s00419-007-0147-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00419-007-0147-8