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Fractal Geometry in Contact Mechanics and Numerical Applications

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Fractals and Fractional Calculus in Continuum Mechanics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 378))

Abstract

The contribution to the present volume deals with the study of the influence of fractal geometry on contact problems. After a short presentation of the new mathematical tools and methods used for the correct consideration of the fractal geometry we study unilateral contact and friction problems, adhesive contact problems in interfaces of fractal geometry and finally crack problems of fractal geometry. Numerical applications illustrate the uheory. This contribution contains also an advanced mathematical section concerning the nature of the forces on a fractal boundary.

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Author information

Authors and Affiliations

  1. Aristotle University, Thessaloniki, Greece

    P. D. Panagiotopoulos & O. K. Panagouli

  2. RWTH, Aachen, Germany

    P. D. Panagiotopoulos

Authors
  1. P. D. Panagiotopoulos
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  2. O. K. Panagouli
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Editor information

Editors and Affiliations

  1. Polytechnic of Turin, Italy

    A. Carpinteri

  2. University of Bologna, Italy

    F. Mainardi

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© 1997 Springer-Verlag Wien

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Panagiotopoulos, P.D., Panagouli, O.K. (1997). Fractal Geometry in Contact Mechanics and Numerical Applications. In: Carpinteri, A., Mainardi, F. (eds) Fractals and Fractional Calculus in Continuum Mechanics. International Centre for Mechanical Sciences, vol 378. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2664-6_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2664-6_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82913-4

  • Online ISBN: 978-3-7091-2664-6

  • eBook Packages: Springer Book Archive

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