Download Modelling Rock Fracturing Processes: A Fracture Mechanics by Baotang Shen PDF

By Baotang Shen

This textual content ebook presents the theoretical history of rock fracture mechanics and displacement discontinuity equipment used for the modelling of geomechanical difficulties. the pc software FRACOD is used to examine the fracture difficulties, assessing fracture initiation and propagation in rigidity (Mode I), shear (Mode II) and combined mode I and II of stable intact or jointed geomaterials. The ebook additionally provides the basics of thermo-mechanical coupling and hydro-mechanical coupling. Formulations of a number of nearby mechanical, thermal and hydraulic capabilities, which enable analyses of fracture mechanics difficulties for buildings made up of brittle, rock-like fabrics, are supplied. moreover, instructive examples of code verification and functions are presented.

Additional material: The 2-D model of the FRACOD application, a handbook at the software and a wealth of verification examples of classical difficulties in physics, mechanics and hydromechanics can be found at http://extras.springer.com. numerous functions concerning civil, mining, petroleum and environmental engineering also are included.

- the 1st textbook on hand on modelling of rock fracture propagation

- Introduces readers to the basics of rock fracturing

- makes use of a latest form of educating with thought, mathematical modelling and functions in a single package

- the fundamental model of the FRACOD software program, handbook, verification examples and functions can be found as extra material

- The FRACOD application and guide allow the readers to resolve fracture propagation difficulties all alone

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Ki-Bok Min, division of strength assets Engineering,

College of Engineering, Seoul nationwide college, Korea

“Challenging rock engineering functions require severe stipulations of tension, temperature and hydraulic strain leading to rock fracturing to a diverse quantity. The FRACOD is one in all few desktop codes on hand in engineering rock mechanics which could simulate the initiation and propagation of fractures frequently interacting with usual fractures. Its potential has been considerably improved to incorporate the hydraulic and thermal fracturing with concerted interplay from multi-national examine and companions. My event with the FRACOD is particularly confident and i'm yes that its already-excellent song checklist will extend extra within the future."

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Extra info for Modelling Rock Fracturing Processes: A Fracture Mechanics Approach Using FRACOD

Example text

1) Because ux and uy are positive in positive x and y coordinate direction, it follows that the Dx and Dy are positive as illustrated in Fig. 1. The solution is given by Crouch (1976), and Crouch and Starfield (1983). 1 Displacement Discontinuity Method (DDM) 21 Fig. 3) yf ;xyy where f,x represents the derivative of function f (x,y) against x, similarly as for f,y , f,xy , f,xxy etc. 2 Numerical Procedure For any crack shape, including curves, we assume the shape can be represented with sufficient accuracy by N straight segments, joined end by end.

7 Charles’ Law Charles explored the delayed failure of glass in relation to its sensitivity to atmospheric corrosion (1958). His study investigated the rate of corrosion layer formation of lime glass rods treated in saturated water vapour. An analysis of the failure process was presented based on the concept that inherent surface flaws grow by corrosive mechanisms to critical dimensions through a reaction between atmospheric water vapour and the components of glass. The rate of this reaction is determined by local stress conditions and by the temperature, pressure and composition of the surrounding atmosphere.

The strain energy can also be calculated from the stresses and displacements along its boundary: W D 1 2 Z . 21) s where s , n , us , un are the stresses and displacements in shear and normal direction of the boundary of an elastic body. Applying Eq. 21) to the crack system in an infinite body with far-field stresses ( s )0 and ( n )0 in the shear and normal direction relative to the crack, the strain energy, W, in the infinite elastic body is calculated: 1 W D 2 Z a Œ. 0 s . s /0 /Ds C . n . 22) where a is the crack length, Ds is the shear displacement discontinuity and Dn is the normal displacement discontinuity of the crack.

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