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The boundary element method applied to two-dimensional contact problems

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Progress in Boundary Element Methods

Abstract

Contact problems and the study of the load transfer in mechanical assemblages are of great importance in mechanical engineering. Since Hertz1 published his famous work on normal contact between elastic bodies, a century of research work has been performed in this area. The work has been analytical, experimental and numerical. Until now, theoretical results for contact problems have been presented, see Persson2, Kalker3, Sundelius4, Gladwell5, etc. that are of great importance for understanding the nature of contact problems.

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References

  1. Hertz, H., J. F. Math., 92, pp. 156–171 (1881)

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  2. Persson, B. G. A., On the Stress Distribution of Cylindrical Elastic Bodies in Contact, Diss., Chalmers Inst. of Technology, Gothenburg, Sweden (1964)

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  3. Kalker, J. J., ‘A survey of the mechanics of contact between solid bodies’, ZAMM57, T3 - T17 (1977)

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  4. Sundelius, B., Some Plane and Axisymmetric Contact Problems with Various Conditions of Adhesion and Friction, Diss., Chalmers Inst. of Technology, Gothenburg, Sweden (1980)

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  5. Gladwell, G. M. L., Contact Problems in the Classical Theory of Elasticity, Sijthoff and Nordhoff (1980)

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  11. Andersson, T., Fredriksson, B. and Persson, B. G. A., ‘The boundary element method applied to two-dimensional contact problems’, in Developments in Boundary Element Methods, Proc. Second International Conference on Recent Advances in Boundary Element Methods, Southampton, C. A. Brebbia ( Ed. ), CML Publications (1980)

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  12. Andersson, T., ‘The boundary element method applied to two-dimensional contact problems with friction’, in Boundary Element Methods, Proc. Third International Seminar, Irvine, California, C. A. Brebbia (Ed.), Springer Verlag, Berlin (1981)

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© 1983 Springer Science+Business Media New York

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Andersson, T., Allan-Persson, B.G. (1983). The boundary element method applied to two-dimensional contact problems. In: Brebbia, C.A. (eds) Progress in Boundary Element Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-6300-3_5

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  • DOI: https://doi.org/10.1007/978-1-4757-6300-3_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-6302-7

  • Online ISBN: 978-1-4757-6300-3

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