Modelling Rock Fracturing Processes: A Fracture Mechanics by Baotang Shen

By Baotang Shen

This textual content ebook offers the theoretical heritage of rock fracture mechanics and displacement discontinuity tools used for the modelling of geomechanical difficulties. the pc application FRACOD is used to examine the fracture difficulties, assessing fracture initiation and propagation in pressure (Mode I), shear (Mode II) and combined mode I and II of good intact or jointed geomaterials. The ebook additionally provides the basics of thermo-mechanical coupling and hydro-mechanical coupling. Formulations of a number of neighborhood mechanical, thermal and hydraulic capabilities, which enable analyses of fracture mechanics difficulties for constructions made up of brittle, rock-like fabrics, are supplied. additionally, instructive examples of code verification and purposes 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. various functions regarding 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 kind of instructing with conception, mathematical modelling and purposes in a single package

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

- The FRACOD software and handbook allow the readers to resolve fracture propagation difficulties all alone

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Ki-Bok Min, division of power assets Engineering,

College of Engineering, Seoul nationwide college, Korea

“Challenging rock engineering purposes require severe stipulations of rigidity, temperature and hydraulic strain leading to rock fracturing to a diverse volume. The FRACOD is one in every of few computing device codes to be had in engineering rock mechanics which can simulate the initiation and propagation of fractures frequently interacting with usual fractures. Its strength has been considerably more desirable to incorporate the hydraulic and thermal fracturing with concerted interplay from multi-national study and companions. My adventure with the FRACOD is particularly confident and i'm sure that its already-excellent tune checklist will extend additional within the future."

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

Example text

The development of a fracture criterion to predict the initiation and propagation of individual cracks in rock subjected to arbitrary loading conditions is of tremendous importance for rock engineering. With the assumption that crack propagation is governed by a specific parameter, various fracture criteria have been established. The three fundamental fracture criteria appear to be the most frequently cited approaches in the literature: maximum tangential stress, maximum energy release rate and minimum strain energy density.

The minimum and maximum lengths for a time step (t) and the total time (time span, Ttot ) are given as input values. In addition to the parameters needed for non-time-dependent calculations, the timedependent calculations require the SCG parameters n1 , n2 , etc. A more detailed description of the SCG function is presented in Rinne 2008. References Charles RJ (1958) Static fatigue of glass. J Appl Phys 29:1549–1560 Kemeny JM (1993) The Micromechanics of deformation and failure in rocks. A. Balkema, Rotterdam, pp 23–33 Kemeny JM (2002) The time-dependent reduction of sliding cohesion due to rock bridges along discontinuities: a fracture mechanics approach.

2). For each homogeneous region, the basic solutions discussed in Chap. 3 apply, and systematic equations can be set up for each region to solve for stress and displacement at the internal point and on the boundary. The interfaces between two regions now become boundaries of both regions. However, the boundary stress/displacement values at the interface boundaries must meet certain conditions to ensure the continuity of two regions at the interface. This approach is being adapted in FRACOD for multi-region problems, as discussed below.

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