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Fundamentals of Plasticity in Geomechanics

Fundamentals of Plasticity in Geomechanics
Author: S. Pietruszczak
Publisher: CRC Press
Total Pages: 0
Release: 2010-09-15
Genre: Technology & Engineering
ISBN: 9780415585163

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The book presents a concise, yet reasonably comprehensive, overview of fundamental notions of plasticity in relation to geomechanics. The primary objective of this work is to provide the reader with a general background in soil/rock plasticity and, as such, should be perceived as an introduction to the broad area of inelastic response of geomaterials. The book is divided into eight chapters. Chapters 1 & 2 start with an outline of the basic concepts and fundamental postulates, followed by a review of the elastic-perfectly plastic formulations in geomechanics. The isotropic strain-hardening framework and isotropic-kinematic hardening rules, the latter formulated within the context of bounding surface plasticity, are discussed in Chapters 3 & 4. Chapter 5 outlines the basic techniques for numerical integration, whereas Chapter 6 gives an overview of procedures for limit analysis that include applications of lower and upper bound theorems. Both these chapters are introductory in nature and are intended to provide a basic background in the respective areas. Chapter 7 deals with description of inherent anisotropy in geomaterials. Finally, Chapter 8 provides an overview of the experimental response of geomaterials. The text is intended primarily for Ph.D./M.Sc. students as well as researchers working in the areas of soil/rock mechanics. It may also be of interest to practicing engineers familiar with established notions of contemporary continuum mechanics.


Plasticity and Geomechanics

Plasticity and Geomechanics
Author: R. O. Davis
Publisher: Cambridge University Press
Total Pages: 303
Release: 2005-08-22
Genre: Technology & Engineering
ISBN: 113943652X

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Plasticity theory is widely used to describe the behaviour of soil and rock in many engineering situations. Plasticity and Geomechanics presents a concise introduction to the general subject of plasticity with a particular emphasis on applications in geomechanics. Derived from the authors' own lecture notes, this book is written with students firmly in mind. Excessive use of mathematical methods is avoided in the main body of the text and, where possible, physical interpretations are given for important concepts. In this way the authors present a clear introduction to the complex ideas and concepts of plasticity as well as demonstrating how this developing subject is of critical importance to geomechanics and geotechnical engineering. This book therefore complements Elasticity and Geomechanics by the same authors and will appeal to graduate students and researchers in the fields of soil mechanics, foundation engineering, and geomechanics.


Plasticity and Geomechanics

Plasticity and Geomechanics
Author: R. O. Davis
Publisher: Cambridge University Press
Total Pages: 300
Release: 2002-10-17
Genre: Technology & Engineering
ISBN: 9780521818308

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Plasticity and Geomechanics is a concise introduction to the general subject of plasticity with a particular emphasis on applications in geomechanics. Derived from the authors' lecture notes, this book is written with students firmly in mind. Excessive use of mathematical methods is avoided and, where possible, physical interpretations are given for important concepts. The authors present a clear introduction to the complex ideas and concepts of plasticity and demonstrate how this developing subject is of critical importance to geomechanics and geotechnical engineering.


Plasticity and Geotechnics

Plasticity and Geotechnics
Author: Hai-Sui Yu
Publisher: Springer Science & Business Media
Total Pages: 541
Release: 2007-01-11
Genre: Science
ISBN: 0387335994

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Plasticity and Geotechnics is the first attempt to summarize and present in a single volume the major achievements in the field of plasticity theory for geotechnical materials and its applications to geotechnical analysis and design. The book emerges from the author’s belief that there is an urgent need for the geotechnical and solid mechanics community to have a unified presentation of plasticity theory and its application to geotechnical engineering.


Principles of Hyperplasticity

Principles of Hyperplasticity
Author: Guy T. Houlsby
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2007-04-18
Genre: Technology & Engineering
ISBN: 1846282403

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The approach to plasticity theory developed here is firmly rooted in thermodynamics. Emphasis is placed on the use of potentials and the derivation of incremental response, necessary for numerical analysis. The derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. The use of potentials allows models to be very simply defined, classified and, if necessary, developed and it permits dependent and independent variables to be interchanged, making possible different forms of a model for different applications. The theory is extended to include treatment of rate-dependent materials and a powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is introduced. This monograph will benefit academic researchers in mechanics, civil engineering and geomechanics and practising geotechnical engineers; it will also interest numerical analysts in engineering mechanics.


Soil Plasticity

Soil Plasticity
Author: W.F. Chen
Publisher: Elsevier
Total Pages: 244
Release: 1985-11-01
Genre: Science
ISBN: 0444598367

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This book is addressed primarily to civil engineers familiar with such traditional topics as strength of materials, soil mechanics, and theory of elasticity and structures, but less familiar with the modern development of the mathematical theory of soil plasticity necessary to any engineer working under the general heading of nonlinear analysis of soil-structure system. This book will satisfy his needs in the case of the soil medium.It introduces the reader to the theory of soil plasticity and its numerical implementation into computer programs. The theory and method of computer implementation presented here are appropriate for solving nonlinear static dynamic problems in soil mechanics and are applicable for finite difference and finite element computer codes. A sample computer model subroutine is developed and this is used to study some typical soil mechanics problems.With its comprehensive coverage and simple, concise presentation, the book will undoubtedly prove to be very useful for consulting engineers, research and graduate students in geotechnical engineering.


Advanced Numerical Applications and Plasticity in Geomechanics

Advanced Numerical Applications and Plasticity in Geomechanics
Author: Vaughan D. Griffiths
Publisher: Springer
Total Pages: 337
Release: 2014-05-04
Genre: Technology & Engineering
ISBN: 3709125782

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Through the contributions of well-known scholars, this book provides an updated overview of some relevant developments and applications in this rapidly growing field. Topics include constitutive models for geomaterials, numerical analysis of ground improvement techniques and tunnelling problems.


Analytic Methods in Geomechanics

Analytic Methods in Geomechanics
Author: Kam-tim Chau
Publisher: CRC Press
Total Pages: 446
Release: 2018-10-08
Genre: Science
ISBN: 1466555890

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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.


Principles of Hyperplasticity

Principles of Hyperplasticity
Author: Guy T. Houlsby
Publisher: Springer
Total Pages: 351
Release: 2010-12-14
Genre: Technology & Engineering
ISBN: 9781848004535

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The approach to plasticity theory developed here is firmly rooted in thermodynamics. Emphasis is placed on the use of potentials and the derivation of incremental response, necessary for numerical analysis. The derivation of constitutive models for irreversible behaviour entirely from two scalar potentials is shown. The use of potentials allows models to be very simply defined, classified and, if necessary, developed and it permits dependent and independent variables to be interchanged, making possible different forms of a model for different applications. The theory is extended to include treatment of rate-dependent materials and a powerful concept, in which a single plastic strain is replaced by a plastic strain function, allowing smooth transitions between elastic and plastic behaviour is introduced. This monograph will benefit academic researchers in mechanics, civil engineering and geomechanics and practising geotechnical engineers; it will also interest numerical analysts in engineering mechanics.


Plasticity

Plasticity
Author: P.M. Dixit
Publisher: CRC Press
Total Pages: 606
Release: 2014-10-23
Genre: Science
ISBN: 1466506180

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Explores the Principles of Plasticity Most undergraduate programs lack an undergraduate plasticity theory course, and many graduate programs in design and manufacturing lack a course on plasticity—leaving a number of engineering students without adequate information on the subject. Emphasizing stresses generated in the material and its effect, Plasticity: Fundamentals and Applications effectively addresses this need. This book fills a void by introducing the basic fundamentals of solid mechanics of deformable bodies. It provides a thorough understanding of plasticity theory, introduces the concepts of plasticity, and discusses relevant applications. Studies the Effects of Forces and Motions on Solids The authors make a point of highlighting the importance of plastic deformation, and also discuss the concepts of elasticity (for a clear understanding of plasticity, the elasticity theory must also be understood). In addition, they present information on updated Lagrangian and Eulerian formulations for the modeling of metal forming and machining. Topics covered include: Stress Strain Constitutive relations Fracture Anisotropy Contact problems Plasticity: Fundamentals and Applications enables students to understand the basic fundamentals of plasticity theory, effectively use commercial finite-element (FE) software, and eventually develop their own code. It also provides suitable reference material for mechanical/civil/aerospace engineers, material processing engineers, applied mechanics researchers, mathematicians, and other industry professionals.