Fractals and Fractional Calculus in Continuum Mechanics

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ISBN 10: 321182913X / ISBN 13: 9783211829134

Editore: Springer Vienna, 1997

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Zustand: Gut | Seiten: 360 | Sprache: Englisch | Produktart: Sonstiges. Codice articolo 294798/203

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Titolo: Fractals and Fractional Calculus in ...

Casa editrice: Springer Vienna

Data di pubblicazione: 1997

Legatura: Brossura

Condizione: Gut

Descrizione articolo

Riassunto:

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.

Contenuti:

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.