Fractals and Fractional Calculus in Continuum Mechanics (CISM International Centre for Mechanical Sciences)

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. Front Matter....Pages i-vi Self-Similarity and Fractality in Microcrack Coalescence and Solid Rupture....Pages 1-55 Experimental Determination of the Fractal Dimension of Microcrack Patterns and Fracture Surfaces....Pages 57-107 Fractal Geometry in Contact Mechanics and Numerical Applications....Pages 109-171 Fractals and Porous Media....Pages 173-222 Fractional Calculus....Pages 223-276 Fractional Calculus....Pages 277-290 Fractional Calculus....Pages 291-348