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Thermal Stresses in Beams

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Thermal Stresses—Advanced Theory and Applications

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 158))

Abstract

As an application of the theory of thermoelasticity, thermal stress analysis of beams based on the elementary beam theory is the objective of this chapter. It begins with the derivation of formulas for axial thermal stresses and thermal lateral deflections in beams, and the associated boundary conditions are stated, see [1, 2]. The discussion on transient thermal stresses is presented, and the analysis of beams with internal heat generation follows. The formulas for thermal stresses in a bimetallic beam are discussed. The analysis of beams of functionally graded materials under steady-state and transient temperature distributions is presented, and analysis of thermal stresses in curved beams concludes the chapter.

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References

  1. Obata Y (2014) Beams, thermal stresses. In: Hetnarski RB (ed) Encyclopedia of thermal stresses, vol 1. Springer, Dordrecht, pp 365–372

    Chapter  Google Scholar 

  2. Eslami MR, Kiani Y (2014) In: Hetnarski RB (ed) Higher-order beam theories, encyclopedia of thermal stresses, vol 5. Springer, Dordrecht, pp 2243–2249

    Google Scholar 

  3. Boley BA, Weiner JH (1960) Theory of thermal stresses. Wiley, New York

    Google Scholar 

  4. Timoshenko S, Woinowsky-Krieger S (1959) Theory of plates and shells. McGraw-Hill, New York

    MATH  Google Scholar 

  5. Burgreen D (1971) Elements of thermal stress analysis. C.P. Press, New York

    Google Scholar 

  6. Noda N, Hetnarski RB, Tanigawa Y (2003) Thermal stresses, 2nd edn. Taylor and Francis, New York

    Google Scholar 

  7. Singh JR, Thomas JR Jr, Hasselman DPH (1980) Thermal stresses in a partially absorbing flat plate symmetrically heated by thermal radiation and cooled by convection. J Therm Stress 3(3):341–349

    Article  Google Scholar 

  8. Tanigawa Y, Murakami H, Ootao Y (1989) Transient thermal stress analysis of laminated composite beam. J Therm Stress 12:25–39

    Article  Google Scholar 

  9. Chen D, Cheng S, Gerhart TD (1982) Thermal stresses in laminated beams. J Therm Stress 5:67–74

    Article  Google Scholar 

  10. Eslami MR, Naghdi AY, Shiari B (1996) Static analysis of thermal stresses in beams based on layer-wise theory. In: Proceedings of 1st National Aerospace and Aeronautics Conference. Amirkabir University of Technology, Iran

    Google Scholar 

  11. Eslami MR, Naghdi AY, Shiari B (1997) Dynamic analysis of thermal stresses in beams based on layer-wise theory. In: Proceedings of the ISME National Conference. Tabriz University, Iran

    Google Scholar 

  12. Suresh S, Mortensen A (2003) Fundamentals of functionally graded materials. IOM Communications, New York

    Google Scholar 

  13. Praveen GN, Reddy JN (1998) Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. Int. J. Solids Struct. 35:4457–4476

    Article  Google Scholar 

  14. Fettahlioglu OA, Steele TK (1988) Thermal deformations and stresses in circularly curved thin beams and rings. J. Therm. Stress. 11(3):233–256

    Article  Google Scholar 

  15. Timoshenko S (1956) Strength of Materials, vol 2, 3rd edn. Van Nostrand, Princeton, New Jersey

    MATH  Google Scholar 

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Correspondence to Richard B. Hetnarski .

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Hetnarski, R.B., Eslami, M.R. (2019). Thermal Stresses in Beams. In: Thermal Stresses—Advanced Theory and Applications. Solid Mechanics and Its Applications, vol 158. Springer, Cham. https://doi.org/10.1007/978-3-030-10436-8_5

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  • DOI: https://doi.org/10.1007/978-3-030-10436-8_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10435-1

  • Online ISBN: 978-3-030-10436-8

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