ABSTRACT

Important developments in the progress of the theory of rock mechanics during recent years are based on fractals and damage mechanics. The concept of fractals has proved to be a useful way of describing the statistics of naturally occurring geometrics. Natural objects, from mountains and coastlines to clouds and forests, are found to have boundaries best described as fractals. Fluid flow through jointed rock masses and clusterings of earthquakes are found to follow fractal patterns in time and space. Fracturing in rocks at all scales, from the microscale (microcracks) to the continental scale (megafaults), can lead to fractal structures. The process of diagenesis and pore geometry of sedimentary rock can be quantitatively described by fractals, etc.



The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock burst, joint roughness, rock porosity and permeability, rock grain growth, rock and soil particles, shear slips, fluid flow through jointed rocks, faults, earthquake clustering, and so on. The prime concerns of the book are to give a simple account of the basic concepts, methods of fractal geometry, and their applications to rock mechanics, geology, and seismology, and also to discuss damage mechanics of rocks and its application to mining engineering.



The book can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

chapter Chapter 1|5 pages

Introduction

chapter Chapter 2|33 pages

General properties of fractals

chapter Chapter 4|12 pages

Random fractals

chapter Chapter 5|16 pages

Fractal growth

chapter Chapter 6|11 pages

Multifractals

chapter Chapter 7|8 pages

Self-inverse fractals*

chapter Chapter 8|4 pages

Fuzzy fractals*

chapter Chapter 9|22 pages

The theory of large deformation and its application

chapter Chapter 10|90 pages

Damage mechanics of rock

chapter Chapter 11|14 pages

Fractals and fragmentation of rock materials

chapter Chapter 12|39 pages

Fractal pores and particles of rocks and soils

chapter Chapter 13|5 pages

Fractal models of rock micro-fractures

chapter Chapter 14|54 pages

Fractal analyses of rock damage and fracture

chapter Chapter 15|40 pages

Fractal description of the roughness of rock joints

chapter Chapter 16|38 pages

Fractal nature of cluster systems