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Thermoelastic Buckling of Plates in a Cylindrical Geometry Against an Elastic Back Support

  • L. D. Simmons
  • R. W. Wierman

Abstract

A plate which is fixed at its edges to a strong edge support structure will develop large compressive stresses when heated from ambient temperature more rapidly than the support structure. Determining the response of the plate to this situation requires stability analysis to ascertain whether the plate might buckle, or whether the constrained thermal expansion will lead to compressive stresses exceeding the yield point because it did not buckle. A special case is considered here, both analytically and experimentally, in which the plate is curved slightly into a cylindrical shape and the convex face of the plate is against a supporting surface. This case is more complex because the buckling mode will be a harmonic rather than the fundamental mode which is usually encountered.

Keywords

Critical Stress Fundamental Mode Plate Temperature Harmonic Mode Test Article 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    W. Nowacki, “Thermoelasticity”, Addison-Wesley (1962).Google Scholar
  2. 2.
    S. Timoshenko and J.M. Gere, “Theory of Elastic Stability,” 2nd ed., McGraw-Hill, New York (1961), Chapter 9.Google Scholar
  3. 3.
    S. Timoshenko, “Theory of Plates and Shells,” McGraw-Hill, New York (1940), pp. 320–321.zbMATHGoogle Scholar
  4. 4.
    Crandall, Dahl, and Lardner, “An Introduction to the Mechanics of Solids,” 2nd ed., McGraw-Hill, New York (1972), p. 289.zbMATHGoogle Scholar
  5. 5.
    R.W. Wierman, L.D. Muhlestein, and L.D. Simmons, Experimental Evaluation of Cell Liners, in: “Coolant Boundary Integrity Considerations in Breeder Reactor Design”, American Society of Mechanical Engineers, New York (1978).Google Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • L. D. Simmons
    • 1
  • R. W. Wierman
    • 2
  1. 1.Multnomah School of EngineeringUniversity of PortlandPortlandUSA
  2. 2.Westinghouse Hanford CompanyRichlandUSA

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