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The effect of oblique functional gradation to transient thermal stresses in the functionally graded infinite strip

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Abstract

Transient thermal stresses in the strip with boundaries oblique to the functionally graded direction are studied theoretically. The transient temperature and the transient thermal stresses are derived by the use of the variable separation and the stress function method. The material properties are assumed to be exponential functions of the position along the functionally graded direction. The prescribed surface heat flux is given for temperature condition, and the initial temperature is assumed to be zero over the strip. The strip is free of surface traction for mechanical boundary condition. The numerical calculations are carried out for ZrO2 /Ti-6Al-4V functionally graded materials. The numerical results of temperature and thermal stresses are illustrated with the lapse of time for certain oblique angles.

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References

  1. Yamanouchi, M., et al.: In: Proceedings of the First International Symposium on Functionally Gradient Materials, Sendai (1990)

  2. Koizumi M.: Concept of FGM, Ceramic Transactions 34, 3–10 (1993)

    Google Scholar 

  3. Noda, N., Tsuji, T.: Steady thermal stresses in a plate of functionally gradient material. In: Proceedings of the First International Symposium of Functionally Gradient Materials, pp. 339–344 (1990)

  4. Noda N., Tsuji T.: Steady thermal stresses in a plate of functionally gradient material (Consideration of temperature dependent material properties). JSME Ser. A 57(535), 625–631 (1991)

    Google Scholar 

  5. Tanigawa Y., Ootao Y., Kawamura R.: Thermal bending of laminated composite rectangular plates and nonhomogeneous plates due to partial heating. J. Therm. Stress. 14(3), 285–308 (1991)

    Article  Google Scholar 

  6. Obata Y., Noda N.: Steady thermal stresses in a hollow circular cylinder and a hollow sphere of a functionally gradient material. J. Therm. Stress. 17, 471–487 (1994)

    Article  Google Scholar 

  7. Obata Y., Noda N.: Unsteady thermal stresses in a functionally gradient material plate (Analysis of one-dimensional unsteady heat transfer problem). JSME Ser. A 59(560), 1090–1096 (1993)

    Google Scholar 

  8. Shabana Y.M., Noda N.: Combined macroscopic and microscopic analysis of thermo-elasto-plastic stresses of functionally graded material plate. J. Therm. Stress. 24(8), 799–815 (2001)

    Article  Google Scholar 

  9. Shabana Y.M., Noda N.: Thermo-elasto-plastic stresses of functionally graded materials with a substrate and a coating. J. Therm. Stress. 25(12), 1133–1146 (2002)

    Article  Google Scholar 

  10. Shabana Y.M., Noda N.: Thermo-elasto-elastic stresses of functionally graded ceramic/metal composite with two-dimensional temperature gradient. Int. J. Comput. Eng. Sci. 5(4), 893–911 (2004)

    Article  Google Scholar 

  11. Nemat-Alla M.: Reduction of thermal stresses by developing two-dimensional functionally graded materials. Int. J. Solids Struct. 40(26), 7339–7356 (2003)

    Article  MATH  Google Scholar 

  12. Ootao Y., Tanigawa Y.: Three-dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating. J. Therm. Stress. 22(1), 581–589 (1999)

    Google Scholar 

  13. Ohmichi M., Noda N.: Thermal stresses in the semi-infinite body with an oblique boundary to the functionally graded direction. J. Solid Mech. Mater. Eng. 1(10), 1238–1250 (2007)

    Article  Google Scholar 

  14. Ohmichi M., Noda N.: The effect of oblique functional gradation to thermal stresses in the functionally graded infinite strip. Acta Mech. 196(3/4), 219–237 (2008)

    Article  MATH  Google Scholar 

  15. Ohmichi M., Noda N.: Plane thermo elastic problem in a functionally graded plate with an oblique boundary to the functional graded direction. J. Therm. Stress. 30(8), 779–799 (2007)

    Article  Google Scholar 

  16. Noda N., Jin Z.: Steady thermal stresses in an infinite nonhomogeneous elastic solid containing a crack. J. Therm. Stress. 16, 181–196 (1993)

    Article  Google Scholar 

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Correspondence to Manabu Ohmichi.

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Ohmichi, M., Noda, N. & Ishihara, M. The effect of oblique functional gradation to transient thermal stresses in the functionally graded infinite strip. Acta Mech 212, 219–232 (2010). https://doi.org/10.1007/s00707-009-0254-4

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  • DOI: https://doi.org/10.1007/s00707-009-0254-4

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