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# The Theory of Strata Mechanics

- 1st Edition, Volume 63 - December 7, 2012
- Editor: H. Gil
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 4 - 5 6 5 2 1 - 1
- eBook ISBN:9 7 8 - 0 - 4 4 4 - 5 9 8 1 1 - 0

During the last thirty years, the increasing need for extracting coal from new mining fields, especially from unmined protective pillars and seams that are threatened with rock… Read more

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Request a sales quoteDuring the last thirty years, the increasing need for extracting coal from new mining fields, especially from unmined protective pillars and seams that are threatened with rock bursts and rock-gas eruptions, has accelerated the development of research in the fundamental mining discipline known as rock mass mechanics or geomechanics. Generally, rock mass mechanics is concerned with rock mass movements and with the phenomena accompanying them. Extensive theoretical, laboratory, and in-situ investigations have resulted in considerable achievements in the field of rock mass mechanics. It is impossible to include all these achievements in a single monograph, and therefore in the present book the author has attempted to contruct a synthetic mathematical description of the rock mass movements and of the strain and stress state induced by mining, in particular when extracting mineral deposits.

(abbreviated)

. Interrelation between the mechanics of rock masses and the mechanics of contin

uous media.

f rock masses. Idealization of the rock mass. Primary stress state. The equation

of continuity. The equation of motion. Concept of weightlessness of a rock.

rock mass. Effect of rock layering upon the form of the equations of state. Equ

ation of equilibrium in terms of displacements. Plane state of strain in a rock

mass. Systems operating in a plane state of strain. Three-dimensional states of

displacement and stress in the vicinity of excavations.

erential form of the state equations. Integral form of the state equations. The

displacement equation of equilibrium. Plane strain state. Plane strain- and stre

ss distributions around excavations. Three-dimensional stress state around excav

ations.

effect of an excavation upon a point isolated on the ground surface. The relati

on between the surface of influence and the subsidence profile. The plane profil

e of a full subsidence trough. Inclination and curvature of the plane profile of

a subsidence trough. Determining the horizontal component of displacement and s

train. Variation of the shape of a subsidence trough with time. Three-dimensiona

l profile of a subsidence trough with two-parameter surface of influence. Three-

dimensional profile of a subsidence trough described by a three-parameter influe

nce function. Differential equations for displacements in a rock mass.

ic properties of rocks. The mechanism of elastic-plastic deformation of rocks an

d the concept of dislocation. Dislocation energy. Dislocation movement and macro

scopic plastic strains. Differential equation describing the average dislocation

displacement vector. Dislocation model of a dry rock mass. Equations of the dis

location model. General solution of the equations of the dislocation model with

account of the anisotropy and inhomogeneity of the rock mass. Solution of the eq

uations of the dislocation model for an isotropic, uniformly elastic rock mass.

Separating the elastic stress field from the total stress field. One-dimensional

distribution of displacement and stress in a rock mass. Estimate of the distri

bution of stress in a coal seam. Generalization of the dislocation model. Disloc

ation model of a water-saturated rock mass. Effect of local rock swelling. Effec

t of local stowing.

rectilinear faces simultaneously. Minimization of surface deformations developed

in a rock mass around the lining of a shaft. Minimization of surface deformatio

ns around the outcrop of a fold. Method for continuously controlling rock mass m

ovements. References. Subject Index.

**Introduction.**Development of rock mass mechanics. Interrelation between the mechanics of rock masses and the mechanics of contin

uous media.

**1. Rock Masses Disturbed by Mining.**General characteristics of rock masses. Idealization of the rock mass. Primary stress state. The equation

of continuity. The equation of motion. Concept of weightlessness of a rock.

**The elastic properties of a**

2. The Elastic State of Rock Around Excavations.2. The Elastic State of Rock Around Excavations.

rock mass. Effect of rock layering upon the form of the equations of state. Equ

ation of equilibrium in terms of displacements. Plane state of strain in a rock

mass. Systems operating in a plane state of strain. Three-dimensional states of

displacement and stress in the vicinity of excavations.

**3. The Viscoelastic S**

tate of Rock Around Excavations.Rheological properties of rock masses. Difftate of Rock Around Excavations.

erential form of the state equations. Integral form of the state equations. The

displacement equation of equilibrium. Plane strain state. Plane strain- and stre

ss distributions around excavations. Three-dimensional stress state around excav

ations.

**4. Geometrical Theories of Rock Mass Movements.**Introduction. Theeffect of an excavation upon a point isolated on the ground surface. The relati

on between the surface of influence and the subsidence profile. The plane profil

e of a full subsidence trough. Inclination and curvature of the plane profile of

a subsidence trough. Determining the horizontal component of displacement and s

train. Variation of the shape of a subsidence trough with time. Three-dimensiona

l profile of a subsidence trough with two-parameter surface of influence. Three-

dimensional profile of a subsidence trough described by a three-parameter influe

nce function. Differential equations for displacements in a rock mass.

**5. Ela**

stic-Plastic Model of an Inhomogeneous Rock Mass.Introduction Elastic-plaststic-Plastic Model of an Inhomogeneous Rock Mass.

ic properties of rocks. The mechanism of elastic-plastic deformation of rocks an

d the concept of dislocation. Dislocation energy. Dislocation movement and macro

scopic plastic strains. Differential equation describing the average dislocation

displacement vector. Dislocation model of a dry rock mass. Equations of the dis

location model. General solution of the equations of the dislocation model with

account of the anisotropy and inhomogeneity of the rock mass. Solution of the eq

uations of the dislocation model for an isotropic, uniformly elastic rock mass.

Separating the elastic stress field from the total stress field. One-dimensional

distribution of displacement and stress in a rock mass. Estimate of the distri

bution of stress in a coal seam. Generalization of the dislocation model. Disloc

ation model of a water-saturated rock mass. Effect of local rock swelling. Effec

t of local stowing.

**6. Theoretical Foundations of Controlling Movements of a**

Rock Mass. Introduction. Minimization of surface deformations by mining twoRock Mass

rectilinear faces simultaneously. Minimization of surface deformations developed

in a rock mass around the lining of a shaft. Minimization of surface deformatio

ns around the outcrop of a fold. Method for continuously controlling rock mass m

ovements. References. Subject Index.

- No. of pages: 288
- Language: English
- Edition: 1
- Volume: 63
- Published: December 7, 2012
- Imprint: Elsevier Science
- Paperback ISBN: 9780444565211
- eBook ISBN: 9780444598110

HG

### H. Gil

Affiliations and expertise

Silesian Technical University, Gliwice, PolandRead

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