Fractals and Fractional Calculus in Continuum Mechanics

Alberto Carpinteri, Francesco Mainardi (Herausgeber)

Buch | Softcover

VI, 348 Seiten

1997 | 1997
Springer Wien (Verlag)
978-3-211-82913-4 (ISBN)

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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.

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.

Erscheint lt. Verlag	11.12.1997
Reihe/Serie	CISM International Centre for Mechanical Sciences
Zusatzinfo	VI, 348 p. 74 illus.
Verlagsort	Vienna
Sprache	englisch
Maße	170 x 244 mm
Gewicht	600 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Technik ► Maschinenbau
Schlagworte	Calculus • Complexity • Continuum Mechanics • differential equation • Fractal Geometry • Fracture • Geometry • Integral • Material • Materials • Mechanics • Microcrack • numerical method • Numerical Methods • Porous Media • solid • Statistical Mechanics • Structures
ISBN-10	3-211-82913-X / 321182913X
ISBN-13	978-3-211-82913-4 / 9783211829134
Zustand	Neuware