Elasticity, Fracture and Flow

Elasticity, Fracture and Flow PDF Author: J. C. Jaeger
Publisher: Springer Science & Business Media
ISBN: 9401160244
Category : Science
Languages : en
Pages : 276

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Book Description
IN this monograph I have attempted to set out, in as elemen tary a form as possible, the basic mathematics of the theories of elasticity, plasticity, viscosity, and rheology, together with a discussion of the properties of the materials involved and the way in which they are idealized to form a basis for the mathe matical theory. There are many mathematical text-books on these subjects, but they are largely devoted to methods for the solution of special problems, and, while the present book may be regarded as an introduction to these, it is also in tended for the large class of readers such as engineers and geologists who are more interested in the detailed analysis of stress and strain, the properties of some of the materials they use, criteria for flow and fracture, and so on, and whose interest in the theory is rather in the assumptions involved in it and the way in which they affect the solutions than in the study of special problems. The first chapter develops the analysis of stress and strain rather fully, giving, in particular, an account of Mohr's repre sentations of stress and of finite homogeneous strain in three dimensions. In the second chapter, on the behaviour of materials, the stress-strain relations for elasticity (both for isotropic and simple anisotropic substances), viscosity, plas ticity and some of the simpler rheological models are described.

Elasticity, Fracture and Flow

Elasticity, Fracture and Flow PDF Author: J. C. Jaeger
Publisher: Springer Science & Business Media
ISBN: 9401160244
Category : Science
Languages : en
Pages : 276

Get Book Here

Book Description
IN this monograph I have attempted to set out, in as elemen tary a form as possible, the basic mathematics of the theories of elasticity, plasticity, viscosity, and rheology, together with a discussion of the properties of the materials involved and the way in which they are idealized to form a basis for the mathe matical theory. There are many mathematical text-books on these subjects, but they are largely devoted to methods for the solution of special problems, and, while the present book may be regarded as an introduction to these, it is also in tended for the large class of readers such as engineers and geologists who are more interested in the detailed analysis of stress and strain, the properties of some of the materials they use, criteria for flow and fracture, and so on, and whose interest in the theory is rather in the assumptions involved in it and the way in which they affect the solutions than in the study of special problems. The first chapter develops the analysis of stress and strain rather fully, giving, in particular, an account of Mohr's repre sentations of stress and of finite homogeneous strain in three dimensions. In the second chapter, on the behaviour of materials, the stress-strain relations for elasticity (both for isotropic and simple anisotropic substances), viscosity, plas ticity and some of the simpler rheological models are described.

Elasticity, Fracture and Flow

Elasticity, Fracture and Flow PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 268

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Book Description


Elasticity, Fracture and Flow: with Engineering and Geological Applications

Elasticity, Fracture and Flow: with Engineering and Geological Applications PDF Author: John Conrad Jaeger
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages :

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Book Description


Flow Processes in Faults and Shear Zones

Flow Processes in Faults and Shear Zones PDF Author: G. Ian Alsop
Publisher: Geological Society of London
ISBN: 9781862391536
Category : Science
Languages : en
Pages : 396

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Book Description
Faults and their deeper level equivalents, shear zones, are localized regions of intense deformation within the Earth. They are recognized at all scales from micro to plate boundary, and are important examples of the nature of heterogeneous deformation in natural rocks. Faults and shear zones are significant as they profoundly influence the location, architecture and evolution of a broad range of geological phenomenao The topography and bathymetry of the Earth's surface is marked by mountain belts and sedimentary basins that are controlled by faults and shear zoneso In addition, faults and shear zones control fluid migration and transport including hydrothermal and hydrocarbon systems. Once faults and shear zones are established, they are often long-lived features prone to multiple reactivation over very large time-scales. This collection of papers addresses lithospheric deformation and the rheology of shear zones, together with processes of partitioning and the unravelling of fault and shear zone histories.

Seismic Forward Modeling of Fractures and Fractured Medium Inversion

Seismic Forward Modeling of Fractures and Fractured Medium Inversion PDF Author: Xiaoqin Cui
Publisher: Springer
ISBN: 9811035849
Category : Science
Languages : en
Pages : 170

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Book Description
This detailed book systematically investigates subsurface geological fractures using rock mechanics, geology, and geophysics. Based on geological fracture mechanisms and fracture boundary conditions, it presents new finite-difference equations for the simulation of seismic wave responses to geological fractures, and proposes innovative AVO inversion equations for the accurate estimation of the rock properties of the fractured medium. It employs schematics, snapshots, color images and charts to demonstrate the mechanical characteristics of the fractures, the seismic wave-field response to the fractures, the seismic data attributes of the fractures and the rock properties of the fractures obtained via inversion. It provides a new methodology for enhancing geological fracture detection technology and for the accurate delineation of fractured reservoirs that ultimately benefits reservoir and mining engineers, geologists and geophysicists in terms of optimizing reservoir recovery, well performance and mining safety.

Geologic Fracture Mechanics

Geologic Fracture Mechanics PDF Author: Richard A. Schultz
Publisher: Cambridge University Press
ISBN: 1107189993
Category : Business & Economics
Languages : en
Pages : 611

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Book Description
Introduction to geologic fracture mechanics covering geologic structural discontinuities from theoretical and field-based perspectives.

Mechanical Behavior of Anisotropic Solids / Comportment Méchanique des Solides Anisotropes

Mechanical Behavior of Anisotropic Solids / Comportment Méchanique des Solides Anisotropes PDF Author: J.P. Boehler
Publisher: Springer Science & Business Media
ISBN: 9400968272
Category : Technology & Engineering
Languages : en
Pages : 926

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Book Description
In 1978, the European Mechanics Committee and the French Centre National de la Recherche Scientifique agreed to the organization of an Interna tional Colloquium on the "Mechanical Behavior of Anisotropic Solids". The meeting was held at Villard-de-Lans (near Grenoble, France) from 19th to 22 nd June 1979. The Colloquium considered mechanical aspects of the anisotropy of solids, both initial and induced by permanent deformation, anisotropic hardening and damage, oriented fissuration, etc. Topics concerned mathematical, experimental and engineering aspects of the anisotropy of metals, composites, soils and rocks. The aim of the Colloquium was to bring together experimentalists, theoretecians and engineers interested in various features of mechanical anisotropy, in order to permit an interdisciplinary exchange of understanding, experience and methods. A detailed description of the scope, aim and proposed topics is contained in the Preface. The announcement of the Colloquium attracted a large number of sub mitted contributions. Conforming with the principles of Euromech Colloquia and of the Colloques Internationaux du CNRS, the accepted contributions were limited to 50 communications. A general description of the scientific program is to be found in the Preface. Five general lectures gave state-of-the-art reports concerning some areas of the behavior of anisotropic solids; the 50 communications were divided into 12 sessions dealing with specific topics (see "Contents"). In order to facilitate subsequent contact between the reader and the contributors, full addresses are given in the "List of Authors."

Rapid Penetration into Granular Media

Rapid Penetration into Granular Media PDF Author: Magued Iskander
Publisher: Elsevier
ISBN: 0128011556
Category : Science
Languages : en
Pages : 473

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Book Description
Rapid Penetration into Granular Media: Visualizing the Fundamental Physics of Rapid Penetration introduces readers to the variety of methods developed to visualize, observe, and model the rapid penetration of natural and man-made projectiles into earth materials while providing seasoned practitioners with a standard reference that showcases the topic's most recent developments in research and application. There has been a flurry of recently funded research both in the U.S. and Europe on studying the behavior of projectiles in granular media. This book compiles the findings of recent research on the subject and outlines the fundamental physics of rapid earth penetration, and assembles a comprehensive collection of experimental and numerical techniques to study the problem. - Presents a comprehensive interdisciplinary review of the latest research developments in the response of granular media to impact and impulsive loading - Combines the experience of prominent researchers from different disciplines focusing on the challenges presented by impact loading of granular media - Introduces recently developed methods for visualizing the fundamental physics of rapid penetration into granular media

Global Seismicity Dynamics and Data-Driven Science

Global Seismicity Dynamics and Data-Driven Science PDF Author: Mitsuhiro Toriumi
Publisher: Springer Nature
ISBN: 981155109X
Category : Science
Languages : en
Pages : 235

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Book Description
The recent explosion of global and regional seismicity data in the world requires new methods of investigation of microseismicity and development of their modelling to understand the nature of whole earth mechanics. In this book, the author proposes a powerful tool to reveal the characteristic features of global and regional microseismicity big data accumulated in the databases of the world. The method proposed in this monograph is based on (1) transformation of stored big data to seismicity density data archives, (2) linear transformation of microseismicity density data matrixes to correlated seismicity matrixes by means of the singular value decomposition method, (3) time series analyses of globally and regionally correlated seismicity rates, and (4) the minimal non-linear equations approximation of their correlated seismicity rate dynamics. Minimal non-linear modelling is the manifestation for strongly correlated seismicity time series controlled by Langevin-type stochastic dynamic equations involving deterministic terms and random Gaussian noises. A deterministic term is composed minimally with correlated seismicity rate vectors of a linear term and of a term with a third exponent. Thus, the dynamics of correlated seismicity in the world contains linearly changing stable nodes and rapid transitions between them with transient states. This book contains discussions of future possibilities of stochastic extrapolations of global and regional seismicity in order to reduce earthquake disasters worldwide. The dataset files are available online and can be downloaded at springer.com.

Applied Mechanics Reviews

Applied Mechanics Reviews PDF Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 742

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Book Description