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Fractals and Fractional Calculus in Continuum Mechanics

  • A. Carpinteri
  • F. Mainardi

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

Table of contents

  1. Front Matter
    Pages i-vi
  2. P. D. Panagiotopoulos, O. K. Panagouli
    Pages 109-171
  3. R. Lenormand
    Pages 173-222
  4. R. Gorenflo, F. Mainardi
    Pages 223-276
  5. R. Gorenflo
    Pages 277-290
  6. F. Mainardi
    Pages 291-348

About this book

Introduction

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.

Keywords

Fractal Geometry Fracture Microcrack Numerical Methods Statistical Mechanics calculus continuum mechanics differential equation fracture geometry integral material materials mechanics numerical method porous media solid statistical mechanics structures

Editors and affiliations

  • A. Carpinteri
    • 1
  • F. Mainardi
    • 2
  1. 1.Polytechnic of TurinItaly
  2. 2.University of BolognaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-2664-6
  • Copyright Information CISM Udine 1997
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82913-4
  • Online ISBN 978-3-7091-2664-6
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site
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