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Quasistatic Indentation of a Rubber covered Roll by a Rigid Roll — The Boundary Element Solution

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Boundary Element Methods

Part of the book series: Boundary Elements ((BOUNDARY,volume 3))

Abstract

The linear elastic problem involving the indentation of a compressible rubberlike layer bonded to a rigid cylinder and indented by another rigid cylinder is analyzed by the boundary element method. For the same contact width, the pressure at the contact surface is found to depend noticeably upon the thickness of the layer and the Poisson ratio of the material of the layer. Results computed and presented graphically include the pressure distribution over the contact surface, the shape of the indented surface and the stress distribution at the bond surface.

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References

  • Batra, R. C., Levinson, M and Betz, E. (1976) Rubber Covered Rolls—The Thermoviscoelastic Problem. A Finite Element Solution, Int. J. Num. Meth. Engng. 10: 767–785.

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  • Batra, R. C. (1980) Rubber Covered Rolls—The Nonlinear Elastic Problem, Trans. ASME-J. Appl. Mechs., 47: 82–86.

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  • Batra, R. C. (1981) Quasistatic Indentation of a Rubber Covered Roll by a Rigid Roll, Int. J. Num. Meth. Engng. 16: (to appear).

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  • Brebbia, C. A. (1978) the Boundary Element Method for Engineers, John Wiley & Sons, New York.

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  • Hahn, H. T. and Levinson, M (1974) Indentation of an Elastic Layer Bonded to a Rigid Cylinder—I. Quasistatic Case Without Friction. II-Unidirectional Slipping with Coulomb Friction, 16: 489–5.

    MATH  Google Scholar 

  • Hannah, Margaret (1951) Contact Stress and Deformation in a Thin Elastic Layer, Quart. Journ. Mech. and Applied Math. 4: 94–105.

    Article  MATH  Google Scholar 

  • Hertz, H. (1881) J. F. Math. 92: 156–171.

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  • Meijers, P. (1968) The Contact Problem of a Rigid Cylinder on an Elastic Layer, Appl. Sci. Res. 18: 353–383.

    Article  Google Scholar 

  • Spengos, A. C. (1965) Experimental Investigation of Rolling Contact, Trans. ASME-J. Appl. Mechs., 32: 859–864.

    Article  ADS  Google Scholar 

  • Thomas, H. R. and Hoersch, V. A. (1930) University of Ill. Eng. Exp. Sta. Bull. 212.

    Google Scholar 

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© 1981 Springer-Verlag Berlin Heidelberg

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Batra, R.C. (1981). Quasistatic Indentation of a Rubber covered Roll by a Rigid Roll — The Boundary Element Solution. In: Brebbia, C.A. (eds) Boundary Element Methods. Boundary Elements, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11270-0_17

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  • DOI: https://doi.org/10.1007/978-3-662-11270-0_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11272-4

  • Online ISBN: 978-3-662-11270-0

  • eBook Packages: Springer Book Archive

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