Fractals and fractional calculus in continuum mechanics

書誌事項

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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内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA34958141
  • ISBN
    • 321182913X
  • 出版国コード
    au
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Wien
  • ページ数/冊数
    348 p.
  • 大きさ
    24 cm
  • 親書誌ID
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