The Boundary Element Method in Thermoelastic Stress Separation — I: Formulation and basic solution using a Monte Carlo method

  • R. Hamilton
  • J. T. Boyle
  • D. Mackenzie
Conference paper


The development and background to a method of stress separation for experimental thermoelastic stress analysis (TSA) for planar problems is described. The problem may be formulated in terms of two Poisson equations with coupled boundary conditions. The stress separation technique is based on the Boundary Element Method with a Monte Carlo procedure for the field integrals applied to mean stress data from the thermographic scans. The Monte Carlo technique has additional interest for the stress separation problem since random noise in the experimental thermographic data could, in theory, be minimised by the random sampling inherent in the Monte Carlo technique.


Boundary Element Method Stress Difference Monte Carlo Technique Monte Carlo Integration Thermoelastic Stress Analysis 
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  1. [1]
    T. Comlekci and J.T. Boyle, “The Boundary Element Method in Thermoelastic Stress Separation — II: A General Hybrid Numerical/Experimental Technique”, Int. Assoc. BEM, Hawaii, 1995.Google Scholar
  2. [2]
    W. Thomson (Lord Kelvin), “On the Thermoelastic and Pyro-electric Properties of Matter”, Philos. Mag., 5 (1878), 4–27.Google Scholar
  3. [3]
    SPATE 8000 Manual. Chiselhurst, Kent: Ometron Ltd. 1983.Google Scholar
  4. [4]
    N. Harwood and W.M. Cumming, Ed. Thermoelastic Stress Analysis. Adam Hilger, 1991.Google Scholar
  5. [5]
    J.T. Boyle, “Post-processing of SPATE Data”, Thermoelastic Stress Analysis. N. Harwood, and W.M. Cumming, Ed. Adam Hilger, 1991, pp 201–220Google Scholar
  6. [6]
    P.K. Banerjee, and R. Butterfield, Boundary Element Methods in Engineering Science, McGraw-Hill Book Company, p52–53, 1981.zbMATHGoogle Scholar
  7. [7]
    S. Gipson, Recent Developments in Boundary Element Analysis for the Poisson Equation. Springer, 1989.Google Scholar
  8. [8]
    J.T. Boyle and R. Hamilton, “A Method of Thermographic Stress Separation”, Applied Solid Mechanics-4. A.R.S. Ponter and A.F.C Cocks, Ed. Elsevier Applied Science, 1991, pp 388–403Google Scholar
  9. [9]
    Swanson Analysis Systems, Inc., “ANSYS User’s Manual for Revision 5.0,” SASI, PO Box 65, Johnson Road, Houston, PA 15342–0065, 1992.Google Scholar
  10. [10]
    The NAG Fortran Library Manual — Mark 13, Vol. 3, Chpt. E02.Google Scholar
  11. [11]
    R. Hamilton, Development of a Method of Thermographic Stress Separation. Phd Thesis, Univ. of Strathclyde, 1993Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • R. Hamilton
    • 1
  • J. T. Boyle
    • 1
  • D. Mackenzie
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of StrathclydeGlasgowScotland

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