Bifurcation Analysis in Geomechanics

Bifurcation Analysis in Geomechanics PDF Author: J. Sulem
Publisher: CRC Press
ISBN: 0203697030
Category : Architecture
Languages : en
Pages : 466

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Book Description
This book examines the experimental and theoretical aspects of bifurcation analysis as applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid unfiltrated porous media, bifurcation and stability analyses applied to layered geological media and granular materials, and theories for generalized continua as applied to materials with microstructure and in relation to strain localization phenomena.

Bifurcation Analysis in Geomechanics

Bifurcation Analysis in Geomechanics PDF Author: J. Sulem
Publisher: CRC Press
ISBN: 0203697030
Category : Architecture
Languages : en
Pages : 466

Get Book Here

Book Description
This book examines the experimental and theoretical aspects of bifurcation analysis as applied to geomechanics. Coverage includes basic continuum mechanics for dry and fluid unfiltrated porous media, bifurcation and stability analyses applied to layered geological media and granular materials, and theories for generalized continua as applied to materials with microstructure and in relation to strain localization phenomena.

Imperfect Bifurcation in Structures and Materials

Imperfect Bifurcation in Structures and Materials PDF Author: Kiyohiro Ikeda
Publisher: Springer Science & Business Media
ISBN: 1475736975
Category : Science
Languages : en
Pages : 426

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Book Description
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.

Advances in Bifurcation and Degradation in Geomaterials

Advances in Bifurcation and Degradation in Geomaterials PDF Author: Stéphane Bonelli
Publisher: Springer Science & Business Media
ISBN: 9400714211
Category : Science
Languages : en
Pages : 352

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Book Description
This book presents contributions to the 9th International Workshop on Bifurcation and Degradation in Geomaterials held in Porquerolles, France, May 23-26, 2011. This series of conferences, started in the early 1980s, is dedicated to the research on degradation and instability phenomena in geomaterials. The volume gathers a series of manuscripts by brilliant international scholars reflecting recent trends in theoretical and experimental research in geomechanics. It incorporates contributions on topics like instability analysis, localized and diffuse failure description, multi-scale modeling and applications to geo-environmental issues. This book will be valuable for anyone interested in the research on degradation and instabilities in geomechanics and geotechnical engineering, appealing to graduate students, researchers and engineers alike.

Instabilities Modeling in Geomechanics

Instabilities Modeling in Geomechanics PDF Author: Ioannis Stefanou
Publisher: John Wiley & Sons
ISBN: 1119755182
Category : Technology & Engineering
Languages : en
Pages : 368

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Book Description
Instabilities Modeling in Geomechanics describes complex mechanisms which are frequently met in earthquake nucleation, geothermal energy production, nuclear waste disposal and CO2 sequestration. These mechanisms involve systems of non-linear differential equations that express the evolution of the geosystem (e.g. strain localization, temperature runaway, pore pressure build-up, etc.) at different length and time scales. In order to study the evolution of a system and possible instabilities, it is essential to know the mathematical properties of the governing equations. Therefore, questions of the existence, uniqueness and stability of solutions naturally arise. This book particularly explores bifurcation theory and stability analysis, which are robust and rigorous mathematical tools that allow us to study the behavior of complex geosystems, without even explicitly solving the governing equations. The contents are organized into 10 chapters which illustrate the application of these methods in various fields of geomechanics.

Analytic Methods in Geomechanics

Analytic Methods in Geomechanics PDF Author: Kam-tim Chau
Publisher: CRC Press
ISBN: 1466555890
Category : Science
Languages : en
Pages : 446

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Book Description
A multidisciplinary field, encompassing both geophysics and civil engineering, geomechanics deals with the deformation and failure process in geomaterials such as soil and rock. Although powerful numerical tools have been developed, analytical solutions still play an important role in solving practical problems in this area. Analytic Methods in Geomechanics provides a much-needed text on mathematical theory in geomechanics, beneficial for readers of varied backgrounds entering this field. Written for scientists and engineers who have had some exposure to engineering mathematics and strength of materials, the text covers major topics in tensor analysis, 2-D elasticity, and 3-D elasticity, plasticity, fracture mechanics, and viscoelasticity. It also discusses the use of displacement functions in poroelasticity, the basics of wave propagations, and dynamics that are relevant to the modeling of geomaterials. The book presents both the fundamentals and more advanced content for understanding the latest research results and applying them to practical problems in geomechanics. The author gives concise explanations of each subject area, using a step-by-step process with many worked examples. He strikes a balance between breadth of material and depth of details, and includes recommended reading in each chapter for readers who would like additional technical information. This text is suitable for students at both undergraduate and graduate levels, as well as for professionals and researchers.

Bifurcation and Degradation of Geomaterials with Engineering Applications

Bifurcation and Degradation of Geomaterials with Engineering Applications PDF Author: Euripides Papamichos
Publisher: Springer
ISBN: 3319563971
Category : Science
Languages : en
Pages : 589

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Book Description
This book contains the scientific contributions to the 11th International Workshop on Bifurcation and Degradation in Geomaterials (IWBDG) held in Limassol-Cyprus, May 21-25, 2017. The IWBDG series have grown in size and scope, since their inception 30 years ago in Germany, covering more and wider areas of geomaterials and geomechanics research including modern trends. The papers cover a wide range of topics including advances in instabilities, localized and diffuse failure, micromechanical, multiscale phenomena, multiphysics modeling and other related topics. This volume gathers a series of manuscript by brilliant international scholars who work on modern recent advances in experimental, theoretical and numerical methods. The theoretical and applied mechanics are linked successfully with engineering applications in traditional and in emerging fields, such as geomechanics for the energy and the environment. The quality of the contributed papers has benefited from the peer review process by expert referees. This book can be used as a useful reference for research students, academics and practicing engineers who are interested in the instability and degradation problems in geomaterials, geomechanics, geotechnical engineering and other related applications.

Degradations and Instabilities in Geomaterials

Degradations and Instabilities in Geomaterials PDF Author: Félix Darve
Publisher: Springer
ISBN: 3709127688
Category : Technology & Engineering
Languages : en
Pages : 370

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Book Description
This book presents the most recents developments in the modelling of degradations (of thermo-chemo-mechanical origin) and of bifurcations and instabilities (leading to localized or diffuse failure modes) taking place in geomaterials (soils, rocks, concrete). Applications (landslides, rockfalls, debris flows, concrete and rock ageing, etc.) are discussed in detail.

Bifurcation and Localisation Theory in Geomechanics

Bifurcation and Localisation Theory in Geomechanics PDF Author: A.V. Dyskin
Publisher: CRC Press
ISBN: 1000443531
Category : Technology & Engineering
Languages : en
Pages : 380

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Book Description
This work contains proceedings of a workshop on Bifurcation and Localisation Theory in Geomechanics, held in Perth, Australia in 1999. It covers a range of themes from classic civil engineering subjects to non-linear and non-unique geological phenomena.

Higher Gradient Materials and Related Generalized Continua

Higher Gradient Materials and Related Generalized Continua PDF Author: Holm Altenbach
Publisher: Springer Nature
ISBN: 303030406X
Category : Technology & Engineering
Languages : en
Pages : 246

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Book Description
This book discusses recent findings and advanced theories presented at two workshops at TU Berlin in 2017 and 2018. It underlines several advantages of generalized continuum models compared to the classical Cauchy continuum, which although widely used in engineering practice, has a number of limitations, such as: • The structural size is very small. • The microstructure is complex. • The effects are localized. As such, the development of generalized continuum models is helpful and results in a better description of the behavior of structures or materials. At the same time, there are more and more experimental studies supporting the new models because the number of material parameters is higher.

Stability of Structures

Stability of Structures PDF Author: Z. P. Ba?ant
Publisher: World Scientific
ISBN: 9814317020
Category : Technology & Engineering
Languages : en
Pages : 1039

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Book Description
A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering. This text of unparalleled scope presents a comprehensive exposition of the principles and applications of stability analysis. It has been proven as a text for introductory courses and various advanced courses for graduate students. It is also prized as an exhaustive reference for engineers and researchers. The authors' focus on understanding of the basic principles rather than excessive detailed solutions, and their treatment of each subject proceed from simple examples to general concepts and rigorous formulations. All the results are derived using as simple mathematics as possible. Numerous examples are given and 700 exercise problems help in attaining a firm grasp of this central aspect of solid mechanics. The book is an unabridged republication of the 1991 edition by Oxford University Press and the 2003 edition by Dover, updated with 18 pages of end notes.