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Boundary Element Techniques in Computer-Aided Engineering pp 201–238Cite as

Elasticity Problems

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Part of the book series: NATO ASI Series ((NSSE,volume 84))

Abstract

Probably the commonest type of analysis undertaken by engineers in practice is linear isotropic stress analysis. Even when geometric or material non-linearities exist, or when the problem is anisotropic, linear isotropic stress analysis is undertaken as a first approximation in order to save the time and effort which is required when theses non-linear properties are taken into account.

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References

  1. Mindlin, R.D., ‘Force at a Point in the Interior of a Semi-infinite solid’, Physics, 7, pp. 145 (1936).

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  2. Cruse, T.A., ‘Boundary-integral Equation Method for Three-Dimensional Elastic Fracture Mechanics Analysis’, AFOSR-TR-75-0813, May (1975).

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  3. Cruse, T.A., Snow, D.W., and Wilson, R.B., ‘Numerical Solutions in Axisymmetric Elasticity’, Computers and Structures, pp. 445 (1977).

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  4. Brebbia, C.A. The Boundary Element Method for Engineers, Pentech Press, London (1978).

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  5. Hartmann, F., Computing the C-Matrix in Non-smooth Boundary Points. New Developments in Boundary Element Methods, C.A. Brebbia (Ed) CML Publications 1980.

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  6. Danson, D.J., ‘A Boundary Element Formulation of Problems in Linear Isotropic Elasticity with Body Forces’, Boundary Element Methods, C.A. Brebbia (Ed), Springer Verlag, Berlin (1981).

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  7. Keramidis, G., ‘A Numerical Solution for Axially Symmetrical Elasticity Problems’, Int. J. Solid Struc., 11, 493–500 (1975).

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Author information

Authors and Affiliations

  1. Computational Mechanics Centre, Southampton, UK

    D. J. Danson

Authors
  1. D. J. Danson
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Editor information

Editors and Affiliations

  1. Institute for Computational Mechanics, Ashurst, Southampton, SO4 2AA, UK

    C. A. Brebbia

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© 1984 Martinus Nijhoff Publishers, Dordrecht

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Danson, D.J. (1984). Elasticity Problems. In: Brebbia, C.A. (eds) Boundary Element Techniques in Computer-Aided Engineering. NATO ASI Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6192-0_13

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  • DOI: https://doi.org/10.1007/978-94-009-6192-0_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6194-4

  • Online ISBN: 978-94-009-6192-0

  • eBook Packages: Springer Book Archive

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