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Journal ArticleDOI

Three-Dimensional Crack Problems

01 Sep 1976-Journal of Applied Mechanics (American Society of Mechanical Engineers)-Vol. 43, Iss: 3, pp 522-523
About: This article is published in Journal of Applied Mechanics.The article was published on 1976-09-01 and is currently open access. It has received 372 citations till now. The article focuses on the topics: Fracture mechanics.

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06 Jun 2011
TL;DR: In this article, the authors combine results from fracture mechanics, materials science, rock mechanics, structural geology, hydrogeology, and fluid mechanics to explore and explain fracture processes and fluid transport in the crust.
Abstract: Rock fractures control many of Earth's dynamic processes, including plate-boundary development, tectonic earthquakes, volcanic eruptions, and fluid transport in the crust. An understanding of rock fractures is also essential for effective exploitation of natural resources such as ground water, geothermal water, and petroleum. This book combines results from fracture mechanics, materials science, rock mechanics, structural geology, hydrogeology, and fluid mechanics to explore and explain fracture processes and fluid transport in the crust. Basic concepts are developed from first principles and illustrated with worked examples linking models of geological processes to real field observations and measurements. Many additional examples and exercises are provided online, allowing readers to practise formulating and quantitative testing of models. Rock Fractures in Geological Processes is designed for courses at the advanced undergraduate and graduate level but also forms a vital resource for researchers and industry professionals concerned with fractures and fluid transport in the Earth's crust.

288 citations

Journal ArticleDOI
TL;DR: Fenton et al. as discussed by the authors showed that the slip magnitude along a discontinuous fault array can be nearly equal to that of a single larger continuous fault provided the segments overlap with small spacing.

281 citations

Journal ArticleDOI
TL;DR: In this article, a nonlocal continuum model for strain-softening damage is derived by micromechanics analysis of a macroscopically nonhomogeneous (nonuniform) system of interacting and growing microcracks, using Kachanov's simplified version of the superposition method.
Abstract: A nonlocal continuum model for strain‐softening damage is derived by micromechanics analysis of a macroscopically nonhomogeneous (nonuniform) system of interacting and growing microcracks, using Kachanov's simplified version of the superposition method. The homogenization is obtained by seeking a continuum field equation whose possible discrete approximation coincides with the matrix equation governing a system of interacting microcracks. The result is a Fredholm integral equation for the unknown nonlocal inelastic stress increments, which involves two spatial integrals. One integral, which ensues from the fact that crack interactions are governed by the average stress over the crack length rather than the crack center stress, represents short‐range averaging of inelastic macro‐stresses. The kernel of the second integral is the long‐range crack influence function which is a second‐rank tensor and varies with directional angle (i.e., is anisotropic), exhibiting sectors of shielding and amplification. For l...

198 citations

Journal ArticleDOI
TL;DR: In this article, the authors extended the potential theory method to the mixed boundary value problems of magneto-electro-thermo-elastic materials and derived a general solution in terms of two functions satisfying a second-order and a tenth-order homogeneous partial differential equation, respectively.

173 citations

Journal ArticleDOI
TL;DR: In this paper, the authors proposed evolutionary and 3D models in terms of the geometries of damage zones for small displacement strike-slip fault zones in limestones in the north-western part of Gozo.

167 citations