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Fractals and Fractional Calculus in Continuum Mechanics

  • Book
  • © 1997

Overview

Editors:
  1. A. Carpinteri

    1. Polytechnic of Turin, Italy

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    You can also search for this editor in PubMed   Google Scholar

  2. F. Mainardi

    1. University of Bologna, Italy

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    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-vi
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  2. Self-Similarity and Fractality in Microcrack Coalescence and Solid Rupture

    • A. Carpinteri
    Pages 1-55

  3. Experimental Determination of the Fractal Dimension of Microcrack Patterns and Fracture Surfaces

    • B. Chiaia
    Pages 57-107

  4. Fractal Geometry in Contact Mechanics and Numerical Applications

    • P. D. Panagiotopoulos, O. K. Panagouli
    Pages 109-171

  5. Fractals and Porous Media

    • R. Lenormand
    Pages 173-222

  6. Fractional Calculus

    • R. Gorenflo, F. Mainardi
    Pages 223-276

  7. Fractional Calculus

    • R. Gorenflo
    Pages 277-290

  8. Fractional Calculus

    • F. Mainardi
    Pages 291-348
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Keywords

About this book

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.

Editors and Affiliations

  • Polytechnic of Turin, Italy

    A. Carpinteri

  • University of Bologna, Italy

    F. Mainardi

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