Continuum and Computational Mechanics for Geomechanical Engineers

Continuum and Computational Mechanics for Geomechanical Engineers
Author: Ömer Aydan
Publsiher: CRC Press
Total Pages: 345
Release: 2021-04-20
Genre: Technology & Engineering
ISBN: 9781000367829

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The field of rock mechanics and rock engineering utilizes the basic laws of continuum mechanics and the techniques developed in computational mechanics. This book describes the basic concepts behind these fundamental laws and their utilization in practice irrespective of whether rock/rock mass contains discontinuities. This book consists of nine chapters and six appendices. The first four chapters are concerned with continuum mechanics aspects, which include the basic operations, definition of stress and strain tensors, and derivation of four fundamental conservation laws in the simplest yet precise manner. The next two chapters are the preparation for computational mechanics, which require constitutive laws of geomaterials relevant to each conservation law and the procedures for how to determine required parameters of the constitutive laws. Computational mechanics solves the resulting ordinary and partial differential equations. In Chapter 7, the methods of exact (closed-form) solutions are explained and they are applied to ordinary/partial differential equations with solvable boundary and initial conditions. In Chapter 8, the fundamentals of approximate solution methods are explained for one dimension first and then how to extend them to multi-dimensional problems. The readers are expected to learn and clearly understand how they are derived and applied to various problems in geomechanics. The final chapter involves the applications of the approximate methods to the actual problems in practice for geomechanical engineers, which cover the continuum to discontinuum, including the stress state of the earth as well as the ground motions induced by earthquakes. Six appendices are provided to have a clear understanding of continuum mechanics operations and procedures for how to deal with discontinuities/interfaces often encountered in rock mechanics and rock engineering.

Continuum Mechanics for Engineers Third Edition

Continuum Mechanics for Engineers  Third Edition
Author: G. Thomas Mase,George E. Mase
Publsiher: CRC Press
Total Pages: 400
Release: 1999-06-18
Genre: Science
ISBN: 0849318556

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The second edition of this popular text continues to provide a solid, fundamental introduction to the mathematics, laws, and applications of continuum mechanics. With the addition of three new chapters and eight new sections to existing chapters, the authors now provide even better coverage of continuum mechanics basics and focus even more attention on its applications. Beginning with the basic mathematical tools needed-including matrix methods and the algebra and calculus of Cartesian tensors-the authors develop the principles of stress, strain, and motion and derive the fundamental physical laws relating to continuity, energy, and momentum. With this basis established, they move to their expanded treatment of applications, including linear and nonlinear elasticity, fluids, and linear viscoelasticity Mastering the contents of Continuum Mechanics: Second Edition provides the reader with the foundation necessary to be a skilled user of today's advanced design tools, such as sophisticated simulation programs that use nonlinear kinematics and a variety of constitutive relationships. With its ample illustrations and exercises, it offers the ideal self-study vehicle for practicing engineers and an excellent introductory text for advanced engineering students.

Innovative Numerical Modelling in Geomechanics

Innovative Numerical Modelling in Geomechanics
Author: Luis Ribeiro e Sousa,Eurípedes Vargas Jr.,M.M. Fernandes,Roberto Azevedo
Publsiher: CRC Press
Total Pages: 476
Release: 2012-05-03
Genre: Technology & Engineering
ISBN: 9780415616614

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Since the 1990s five books on ‘Applications of Computational Mechanics in Geotechnical Engineering’ have been published. Innovative Numerical Modelling in Geomechanics is the 6th and final book in this series, and contains papers written by leading experts on computational mechanics. The book treats highly relevant topics in the field of geotechnics, such as environmental geotechnics, open and underground excavations, foundations, embankments and rockfill dams, computational systems and oil geomechanics. Special attention is paid to risk in geotechnical engineering, and to recent developments in applying Bayesian networks and Data Mining techniques. Innovative Numerical Modelling in Geomechanics will be of interest to civil, mining and environmental engineers, as well as to engineering geologists. The book will also be useful for academics and researchers involved in geotechnics.

Advanced Mechanics of Continua

Advanced Mechanics of Continua
Author: Karan S. Surana
Publsiher: CRC Press
Total Pages: 786
Release: 2016-04-27
Genre: Science
ISBN: 9781498708111

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Explore the Computational Methods and Mathematical Models That Are Possible through Continuum Mechanics Formulations Mathematically demanding, but also rigorous, precise, and written using very clear language, Advanced Mechanics of Continua provides a thorough understanding of continuum mechanics. This book explores the foundation of continuum mechanics and constitutive theories of materials using understandable notations. It does not stick to one specific form, but instead provides a mix of notations that while in many instances are different than those used in current practice, are a natural choice for the information that they represent. The book places special emphasis on both matrix and vector notations, and presents material using these notations whenever possible. The author explores the development of mathematical descriptions and constitutive theories for deforming solids, fluids, and polymeric fluids—both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contravariant bases. He also establishes the tensorial nature of strain measures and influence of rotation of frames on various measures, illustrates the physical meaning of the components of strains, presents the polar decomposition of deformation, and provides the definitions and measures of stress. Comprised of 16 chapters, this text covers: Einstein’s notation Index notations Matrix and vector notations Basic definitions and concepts Mathematical preliminaries Tensor calculus and transformations using co- and contra-variant bases Differential calculus of tensors Development of mathematical descriptions and constitutive theories Advanced Mechanics of Continua prepares graduate students for fundamental and basic research work in engineering and sciences, provides detailed and consistent derivations with clarity, and can be used for self-study.

Computational Continuum Mechanics

Computational Continuum Mechanics
Author: Ahmed A. Shabana
Publsiher: Unknown
Total Pages: 135
Release: 2018
Genre: SCIENCE
ISBN: 1119293243

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Fundamentals of Structural Mechanics

Fundamentals of Structural Mechanics
Author: Keith D. Hjelmstad
Publsiher: Springer Science & Business Media
Total Pages: 485
Release: 2007-03-14
Genre: Technology & Engineering
ISBN: 9780387233314

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A solid introduction to basic continuum mechanics, emphasizing variational formulations and numeric computation. The book offers a complete discussion of numerical method techniques used in the study of structural mechanics.

Earthquake Science and Engineering

Earthquake Science and Engineering
Author: Ömer Aydan
Publsiher: CRC Press
Total Pages: 518
Release: 2022-07-18
Genre: Technology & Engineering
ISBN: 9781000601596

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Earthquakes form one of the categories of natural disasters that sometimes result in huge loss of human life as well as destruction of (infra)structures, as experienced during recent great earthquakes. This book addresses scientific and engineering aspects of earthquakes, which are generally taught and published separately. This book intends to fill the gap between these two fields associated with earthquakes and help seismologists and earthquake engineers better communicate with and understand each other. This will foster the development of new techniques for dealing with various aspects of earthquakes and earthquake-associated issues, to safeguard the security and welfare of societies worldwide. Because this work covers both scientific and engineering aspects in a unified way, it offers a complete overview of earthquakes, their mechanics, their effects on (infra)structures and secondary associated events. As such, this book is aimed at engineering professionals with an earth sciences background (geology, seismology, geophysics) or those with an engineering background (civil, architecture, mining, geological engineering) or with both, and it can also serve as a reference work for academics and (under)graduate students.

Rock Dynamics Progress and Prospect Volume 1

Rock Dynamics  Progress and Prospect  Volume 1
Author: Jianchun Li,Xiaozhao Li,Minghe Ju,Fengqiang Gong,Yingxin Zhou
Publsiher: CRC Press
Total Pages: 487
Release: 2022-12-06
Genre: Technology & Engineering
ISBN: 9781000883176

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Rock Dynamics: Progress and Prospect contains 153 scientific and technical papers presented at the Fourth International Conference on Rock Dynamics and Applications (RocDyn-4, Xuzhou, China, 17-19 August 2022). The two-volume set has 7 sections. Volume 1 includes the first four sections with 6 keynotes and 5 young scholar plenary session papers, and contributions on analysis and theoretical development, and experimental testing and techniques. Volume 2 contains the remaining three sections with 74 papers on numerical modelling and methods, seismic and earthquake engineering, and rock excavation and engineering. Rock Dynamics: Progress and Prospect will serve as a reference on developments in rock dynamics scientific research and on rock dynamics engineering applications. The previous volumes in this series (RocDyn-1, RocDyn-2, and RocDyn-3) are also available via CRC Press.