Last edited by Kisida
Monday, July 20, 2020 | History

4 edition of Fractals in rock mechanics found in the catalog.

Fractals in rock mechanics

by Heping Xie

  • 163 Want to read
  • 8 Currently reading

Published by A. A. Balkema in Rotterdam, Brookfield, Vt .
Written in English

    Subjects:
  • Rock mechanics -- Mathematical models.,
  • Fractals.,
  • Roches, mécanique des.,
  • Fractales.

  • Edition Notes

    Bibliogr. (p. 435-453) et index.

    StatementHeping Xie.
    SeriesGeomechanics research series -- 1.
    The Physical Object
    Paginationx, 453 p. :
    Number of Pages453
    ID Numbers
    Open LibraryOL18083298M
    ISBN 109054101334

    Books shelved as fractals: The Fractal Geometry of Nature by Benoît B. Mandelbrot, Altar of Eden by James Rollins, Mysterious Patterns: Finding Fractals. Zhang, H. W. Zhou and H. P. Xie, Improved cubic covering method for fractal dimensions of a fracture surface of rock, Chinese J. Rock Mechanics Eng. 24(17) () – Google Scholar : Xuezai Pan.

      High temperatures and impact loads significantly influence the fragmentation characteristics of rock. Impact compression tests, based on the coupled effect of different temperatures and different rates of impact load, were conducted on granite to study variations in dynamic fragment distribution, fractal dimension and dynamic failure by: 1. Based on fractal theory, fractal characteristics of rough surface are investigated. The 3D surface topography of specimen which is closed to machine tool guide way both in material and processing.

    Introduction to Rock Mechanics. This note explores the nature of rocks and rock masses as construction, foundation, or engineering materials. Applied mechanics. This book is the result of the experience of the writer in teaching the subject of Applied Mechanics at the Massachusetts Institute of Technology. It is primarily a text-book ; and. is a platform for academics to share research papers.


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Fractals in rock mechanics by Heping Xie Download PDF EPUB FB2

1st Edition Published on January 1, by CRC Press Important developments in the progress of the theory of rock mechanics during recent years are based on fr Fractals in Rock Mechanics - 1st Edition - Heping Xie - Routledge Boo. Fractals in Rock Mechanics (Geomechanics Research Series) Hardcover – January 1, by Heping Xie (Author)Cited by: Fractals in Rock Mechanics.

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.5/5(1).

The book is mainly concerned with these developments, as related to fractal descriptions of fragmentations, damage and fracture of rocks, rock Fractals in rock mechanics book, 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 : Heping Xie.

1 Introduction. 2 General Properties of Fractals Measure and dimension Fractals and fractal dimension How to measure fractal curves Classical fractals The Weierstrass function Self-similarity and self-affinity Measurements of fractal dimensions3 The Perimeter-Area Relation of Fractal Sets and Fractal Surfaces The perimeter-area relation for rains and clouds The fractal.

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.

Fractals in Rock Mechanics的话题 (全部 条) 什么是话题 无论是一部作品、一个人,还是一件事,都往往可以衍生出许多不同的话题。. Now in a greatly expanded second edition, this book relates fractals and chaos to a variety of geological and geophysical applications and introduces the fundamental concepts of fractal geometry and chaotic dynamics.

In this new edition, Turcotte expands coverage of self-organized criticality and includes statistics and time series to provide a Cited by: The energy release E of a fractal cluster of cracking within the rock mass increases exponentially with a decrease of the fractal dimension D in the form: Thus, the fractal nature of rock bursts.

Abstract. Fractal geometry is the creation of Mandelbrot, who published his first book on the subject in English in (Mandelbrot ). Fractal geometry is the geometry of rugged systems, that is objects having “non—smooth” boundaries and non—Euclidean by: 2.

The irregular and rough profile of fracture surfaces of rock can be regarded as having self-similarity statistically. The authors apply a new geometry—fractal geometry to describe this irregularity. Fractal models of the transgranular fracture and the combined intergranular and transgranular fracture are established.

The fractal character of fracture surface of rock is examined Cited by: Advanced Search. Browse. In seismology, this fractal nature of rock bursts is consistent with the conclusion of a lower fractal dimension (or b-value)being associated with the occurrence of a main earthquake.

The fractal and physical mechanisms of rock bursts are analyzed in theory using damage mechanics and the fractal Cited by:   Purchase Fracture Mechanics of Rock - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. The application of some of the newer mathematical and information technology techniques such as fractals, chaos theory, and object-oriented programming for characterizing rock features may prove to be more elegant, succinct, and practical means of achieving the rock mechanics and rock.

Although Rock Mechanics addresses many of the rock mechanics issues which arise in underground mining engineering, it is not a text exclusively for mining applications. It consists of five categories of topics on the science and practice of rock engineering: basic engineering principles relevant to rock mechanics; mechanical properties of rock and rock masses; design of underground excavations 5/5(3).

Fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth.

They are capable of describing many irregularly shaped objects or Missing: rock mechanics. A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop.

Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Rock Mechanics - an introduction for the practical engineer Parts I, II and III First published in Mining MagazineApril, June and July Evert Hoek This paper is the text of three lectures delivered by the author at the Imperial College of.

Widely regarded as the most authoritative and comprehensive book in its field, the fourth edition of Fundamentals of Rock Mechanics includes new and substantially updated chapters to this highly praised text.

Extensively updated throughout, this new edition contains substantially expanded chapters on poroelasticity, wave propogation, and subsurface stresses Features entirely new chapters on. Rock Engineering and Rock Mechanics: Structures in and on Rock Masses will be of interest to rock mechanics academics as well as to professionals who are involved in the various branches of rock engineering.

Table of Contents. Keynote lectures. Shear strength of rock, rock joints and rock masses – Problems and some solutions.In mathematics, a fractal is a self-similar subset of Euclidean space whose fractal dimension strictly exceeds its topological ls appear the same at different levels, as illustrated in successive magnifications of the Mandelbrot set.

Fractals exhibit similar patterns at increasingly small scales called self similarity, also known as expanding symmetry or unfolding symmetry; if.A tale of two fractals.

This book is devoted to a phenomenon of fractal sets, or simply fractals. Topics covered includes: Sierpinski gasket, Harmonic functions on Sierpinski gasket, Applications of generalized numerical systems, Apollonian Gasket, Arithmetic properties of Apollonian gaskets, Geometric and group-theoretic approach.