Role of Thermal Expansion in Thermal Stress Resistance of Semi-Absorbing Brittle Materials Subjected to Severe Thermal Radiation

  • J. R. ThomasJr.
  • J. P. Singh
  • D. P. H. Hasselman


An analysis is presented of the thermal stresses resulting from “thermal trapping” in semi-absorbing brittle ceramic materials in the form of a thin flat plate subjected to intense thermal radiation. Solutions for the thermal stresses are presented for symmetric and asymmetric radiation heating and convective cooling with limiting values of the heat transfer coefficient, h = 0 and ∞. For h = ∞, the stresses are identically equal to zero for values of the optical thickness pa of 0 and ∞, and reach their maximum value at μa ≃ 1.3 and 2.0 for symmetric and asymmetric heating respectively. For h = 0, the magnitude of thermal stress increases with increasing optical thickness.

Expressions are derived for the maximum radiation heat flux to which the plate can be subjected without failure, in terms of the pertinent material properties. These properties are combined in “figures-of-merit” for the selection of material with the optimum thermal stress resistance, appropriate for given heating and cooling conditions. These figures-of-merit, which may contain as many as seven material properties, indicate the high thermal stress resistance requires low values of the coefficient of thermal expansion, Young’s modulus, Poisson’s ratio, emissivity, and the absorption coefficient in combination with high values of tensile strength and thermal conductivity.


Heat Transfer Coefficient Thermal Stress Brittle Material Optical Thickness Radiation Heat Flux 
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Copyright information

© Purdue Research Foundation 1982

Authors and Affiliations

  • J. R. ThomasJr.
    • 1
  • J. P. Singh
    • 1
  • D. P. H. Hasselman
    • 1
  1. 1.Departments of Mechanical and Materials EngineeringVirginia Polytechnic Institute and State UniversityBlacksburgUSA

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