Fractals and Fractional Calculus in Continuum Mechanics

ISBN-13: 9783211829134 / Angielski / Miękka / 1997 / 348 str.

Carpinteri; F. Mainardi; Alberto Carpinteri

Opis

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.

Spis treści

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.