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A note on the body force integral of classical elastostatics

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Abstract

A method of accounting for the influence of body force, which involves a surface rather than a volume integral, is shown to be available whenever the body force is derivable from a scalar with constant Laplacian.

Zusammenfassung

Es wird gezeigt, dass man die Raumkraft durch ein Oberflächenintegral darstellen kann, falls sie sich von einem Skalarfeld mit konstantem Laplace Operator herleiten lässt.

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References

  1. J. N. Goodier,Integration of Thermoelastic Equations, Phil. Mag.23 (1937).

  2. A. E. H. Love,A Treatise on the Mathematical Theory of Elasticity, 4th edn., Dover, New York (1944).

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  4. T. A. Cruse andF. J. Rizzo (eds), ‘Boundary-Integral Equation Method: Computational Applications in Applied Mechanics’,ASME Proc. AMD-Vol. 11 (June 1975).

  5. T. A. Cruse, ‘Boundary-Integral Equation Method for Three-Dimensional Fracture Mechanics Analysis’,AFOSR-TR-75-0813 Interim Report (May 1975).

  6. F. J. Rizzo andD. J. Shippy, ‘Thermo-Mechanical Stress Analysis of Advanced Turbine Blade Cooling Configuration,’AFOSR-75-2824 Interim Report (May 1976).

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Authors and Affiliations

  1. University of Illinois, Urbana

    M. Stippes

  2. University of Kentucky, Lexington, U.S.A.

    F. J. Rizzo

Authors
  1. M. Stippes
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  2. F. J. Rizzo
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Stippes, M., Rizzo, F.J. A note on the body force integral of classical elastostatics. Journal of Applied Mathematics and Physics (ZAMP) 28, 339–341 (1977). https://doi.org/10.1007/BF01595600

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  • DOI: https://doi.org/10.1007/BF01595600

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