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Physics - Complexity | Fractals and Fractional Calculus in Continuum Mechanics

Fractals and Fractional Calculus in Continuum Mechanics

Carpinteri, Alberto, Mainardi, Francesco (Eds.)

1997, VI, 348 p.

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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.

Content Level » Research

Keywords » Fractal Geometry - Fracture - Microcrack - Numerical Methods - Statistical Mechanics

Related subjects » Civil Engineering - Complexity - Mechanics - Theoretical Computer Science

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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