DOI QR코드

DOI QR Code

Magnetothermoelastic stress in orthotropic hollow cylinders due to radially symmetric thermal and mechanical loads

  • Dai, H.L. (Department of Engineering Mechanics, Hunan University) ;
  • Fu, Y.M. (Department of Engineering Mechanics, Hunan University)
  • Received : 2005.10.17
  • Accepted : 2006.07.03
  • Published : 2006.12.20

Abstract

In the paper, a direct method of solution of the Navier equation is presented. An orthotropic thick hollow cylinder under a one-dimensional steady-state temperature distribution and a uniform magnetic field with general types of thermal and mechanical boundary conditions is considered. The Navier equation in terms of displacement is derived and solved analytically by the direct method, and magnetothermoelastic responses and perturbation of the magnetic field vector in the orthotropic thick hollow cylinder is described. The present method is suitable for orthotropic thick hollow cylinders placed in an axial magnetic field with arbitrary thermal and mechanical boundary conditions. Finally, numerical examples are carried out and discussed.

Keywords

References

  1. Abd-Alla, A.M., Abd-Alla, A.N. and Zeidan, N.A. (1999), 'Transient thermal stress in a rotation nonhomogeneous cylindrically orthotropic composite tube', Appl. Mathematic and Computation, 105, 253-269 https://doi.org/10.1016/S0096-3003(98)10104-2
  2. Cho, H., Kardomates, GA. and Valle, C.S. (1998), 'Elastodynamic solution for the thermal shock stresses in an orthotropic thick cylindrical shell', J Appl. Mech., 65, 184-193 https://doi.org/10.1115/1.2789024
  3. Dai, H.L. and Wang, X. (2004), 'Dynamic responses of piezoelectric hollow cylinders in an axial magnetic field', Int. J Solids Struct., 41, 5231-5246 https://doi.org/10.1016/j.ijsolstr.2004.04.019
  4. Dai, H.L., Wang, X. and Dai, Q.H. (2005), 'Thermoelectroelastic responses in orthotropic piezoelectric hollow cylinders subjected to thermal shock and electric excitation', J of Reinforced Plastics and Composites, 24(10), 1085-1102 https://doi.org/10.1177/0731684405048834
  5. Ezzat, M.A. (1997), 'Generation of generalized magnetothermoelastic waves by thermal shock in a perfectly conducting half-space', J Thermal Stresses, 20(6),917-633
  6. Jabbari, M., Sohrabpour, S. and Eslami, M.R. (2002), 'Mechanical and thermal stresses in a functionally graded hollow cylinder due to radially symmetric loads', Int. J Pressure Vessels and Piping, 79, 493-497 https://doi.org/10.1016/S0308-0161(02)00043-1
  7. Kalam, M.A. and Tauchert, T.R. (1978), 'Stresses in an orthotropic elastic cylinder due to a plane temperature distribution', J Thermal Stresses, 1, 13-24 https://doi.org/10.1080/01495737808926927
  8. Kraus, J.D. (1984), Electromagnetics, McGrawHill, Inc. U.S.A
  9. Mirsky, I. (1964), 'Axisymmetric vibrations oforthotropic cylinders', J Acoust. Soc. Am., 36, 2106-2112 https://doi.org/10.1121/1.1919329
  10. Nowinski, J. (1957), 'Thermoelastic states in a thick-walled orthotropic cylinder surrounded by an elastic medium', Bull I' . Academic Polonaise Sciences, 5, 19-22
  11. Obata, Y. and Noda, N. (1994), 'Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material', J Thermal Stresses, 17,471-487 https://doi.org/10.1080/01495739408946273
  12. Srinivas, S. and Rao, AX (1970), 'Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates', Int. J Solids Struct., 6(11), 1463-1481 https://doi.org/10.1016/0020-7683(70)90076-4
  13. Upadhyay, P.C. and Mishra, B.K. (1988), 'Non-axisymmetric dynamic response of buried orthotropic cylindrical shells', J Sound Vib., 121, 149-160 https://doi.org/10.1016/S0022-460X(88)80067-1

Cited by

  1. Transient Response in a Bi-material Cylinder of Soft Ferromagnetic Material Subjected to Magnetic Shock vol.34, pp.2, 2006, https://doi.org/10.1007/s10338-020-00202-y