Fractals and fractional calculus in continuum mechanics

Bibliographic Information

Fractals and fractional calculus in continuum mechanics

edited by A. Carpinteri, F. Mainardi

(CISM courses and lectures, no. 378)

Springer-Verlag, c1997

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Description and Table of Contents

Description

The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.

Table of Contents

A. Carpinteri: Self-Similarity and Fractality in Microcrack Coalescence and Solid Rupture.- B. Chiaia: Experimental Determination of the Fractal Dimension of Microcrack Patterns and Fracture Surfaces.- P.D. Panagiotopoulos, O.K. Panagouli: Fractal Geometry in Contact Mechanics and Numerical Applications.- R. Lenormand: Fractals and Porous Media: from Pore to Geological Scales.- R. Gorenflo, F. Mainardi: Fractional Calculus: Integral and Differential Equations of Fractional Order.- R. Gorenflo: Fractional Calculus: some Numerical Methods.- F. Mainardi: Fractional Calculus: some Basic Problems in Continuum and Statistical Mechanics.

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Details
  • NCID
    BA34958141
  • ISBN
    • 321182913X
  • Country Code
    au
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Wien
  • Pages/Volumes
    348 p.
  • Size
    24 cm
  • Parent Bibliography ID
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