Structural Engineering and Mechanics

  • 제20권5호
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  • Pages.559-573
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  • 2005
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Transient thermal stresses of orthotropic functionally graded thick strip due to nonuniform heat supply

  • Ootao, Yoshihiro (Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University) ;
  • Tanigawa, Yoshinobu (Department of Mechanical Engineering, Graduate School of Engineering, Osaka Prefecture University)
  • 투고 : 2004.05.11
  • 심사 : 2005.04.15
  • 발행 : 2005.07.30
⟨ 이전 논문 다음 논문 ⟩

초록

This paper is concerned with the theoretical treatment of transient thermal stresses involving an orthotropic functionally graded thick strip due to nonuniform heat supply in the width direction. The thermal and thermoelastic constants of the strip are assumed to possess orthotropy and vary exponentially in the thickness direction. The transient two-dimensional temperature is analyzed by the methods of Laplace and finite sine transformations. We obtain the exact solution for the simply supported strip under the state of plane strain. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures. Furthermore, the influence of the orthotropy and nonhomogeneity of the material is investigated.

키워드

참고문헌

  1. Ding, H.J., Wang, H.M. and Chen, W.Q. (2003), 'A solution of a non-homogeneous orthotropic cylindrical shell for axisymmetric plane strain dynamic thermoelastic problems', J. Sound Vib., 263, 815-829 https://doi.org/10.1016/S0022-460X(02)01075-1
  2. 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. Pres. Ves. Piping, 79, 493-497 https://doi.org/10.1016/S0308-0161(02)00043-1
  3. Jabbari, M., Sohrabpour, S. and Eslami, M.R. (2003), 'General solution for mechanical and thermal stresses in a functionally graded hollow cylinder due to nonaxisymmetric steady-state loads', J. Appl. Mech., 70, 111-118 https://doi.org/10.1115/1.1509484
  4. Jeon, S.P., Tanigawa, Y. and Sone, D. (1997), 'Analytical treatment of axisymmetrical thermoelastic field with Kassir's nonhomogeneous material properties and its adaptation to boundary value problem of slab under steady temperature field', J. Thermal Stresses, 20, 325-343 https://doi.org/10.1080/01495739708956105
  5. Kawamura, R., Huang, D. and Tanigawa, Y. (2001), 'Thermoelestic deformation and stress analyses of an orthotropic nonhomogeneous rectangular plate', Proc. of Fourth Int. Congress on Thermal Stresses, 189-192
  6. Lutz, M.P. and Zimmerman, R.W. (1996), 'Thermal stresses and effective thermal expansion coefficient of a functionally gradient sphere', J. Thermal Stresses, 19, 39-54 https://doi.org/10.1080/01495739608946159
  7. Ootao, Y. and Tanigawa, Y. (2004), 'Tranisent thermoelastic problem of functionally graded thick strip due to nonuniform heat supply', Composite Struct., 63, 139-146 https://doi.org/10.1016/S0263-8223(03)00142-9
  8. Sankar, B.V. and Tzeng, J.T. (2002), 'Thermal stresses in functionally graded beams', AIAA, 40, 1228-1232 https://doi.org/10.2514/2.1775
  9. Sugano, Y. (1987), 'An expression for transient thermal stress in a nonhomogeneous plate with temperature variation through thickness', Ingenieur-Archiv, 57, 147-156 https://doi.org/10.1007/BF00541388
  10. Tanigawa, Y., Morishita, H. and Ogaki, S. (1999), 'Derivation of systems of fundamental equations for a three-dimensional thermoelastic field with nonhomogeneous material properties and its application to a semi-infinite body' J. Thermal Stresses, 22, 689-711 https://doi.org/10.1080/014957399280706
  11. Vel, S.S. and Batra, R.C. (2002), 'Exact solution for thermoelastic deformations of functionally graded thick rectangular plates', AIAA, 40, 1421-1433 https://doi.org/10.2514/2.1805
  12. Vel, S.S. and Batra, R.C. (2003), 'Three-dimensional analysis of transient thermal stresses in functionally graded plates', Int. J. Solids Struct., 40, 7181-7196 https://doi.org/10.1016/S0020-7683(03)00361-5
  13. Ye, G.R., Chen, W.Q. and Cai, J.B. (2001), 'A uniform heated functionally graded cylindrical shell with transverse isotropy', Mech. Res. Comm., 28, 535-542 https://doi.org/10.1016/S0093-6413(01)00206-3
  14. Zimmerman, R.W. and Lutz, M.P. (1999), 'Thermal stresses and thermal expansion in a uniformly heated functionally graded cylinder', J. Thermal Stresses, 22,177-188 https://doi.org/10.1080/014957399280959

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  2. Three-dimensional solution for transient thermal stresses of an orthotropic functionally graded rectangular plate vol.80, pp.1, 2007, https://doi.org/10.1016/j.compstruct.2006.02.028
  3. Transient Thermoelastic Problem of a Functionally Graded Hollow Cylinder Due to Asymmetrical Surface Heating vol.32, pp.12, 2009, https://doi.org/10.1080/01495730903310490
  4. Interface crack between different orthotropic media under uniform heat flow vol.5, pp.1, 2016, https://doi.org/10.1186/s40064-016-3105-5
  5. Transient Thermoelastic and Piezothermoelastic Problems of Functionally Graded Materials vol.32, pp.6-7, 2009, https://doi.org/10.1080/01495730902850918
  6. A partially insulated interface crack between a graded orthotropic coating and a homogeneous orthotropic substrate under heat flux supply vol.47, pp.6, 2010, https://doi.org/10.1016/j.ijsolstr.2009.11.009
  7. Transient thermoelastic problem of a nonhomogeneous rectangular plate vol.40, pp.5, 2017, https://doi.org/10.1080/01495739.2016.1237861
  8. Transient Thermoelastic Analysis for a Functionally Graded Hollow Cylinder vol.29, pp.11, 2006, https://doi.org/10.1080/01495730600710356
  9. Analytical solutions for three-dimensional steady and transient heat conduction problems of a double-layer plate with a local heat source vol.89, 2015, https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.094
  10. Plane heat conduction problems in functionally graded orthotropic materials vol.40, pp.6, 2017, https://doi.org/10.1080/01495739.2016.1249989
  11. Transient Thermoelastic Problem of a Functionally Graded Cylindrical Panel Due to Nonuniform Heat Supply vol.30, pp.5, 2005, https://doi.org/10.1080/01495730601146394
  12. Transient Thermal Stress Analysis of Orthotropic Functionally Graded Materials with a Crack vol.30, pp.12, 2005, https://doi.org/10.1080/01495730701519607
  13. Elasticity solutions for a uniformly loaded annular plate of functionally graded materials vol.30, pp.4, 2005, https://doi.org/10.12989/sem.2008.30.4.501