Techniques of Modern Structural Geology, Volume 3: Applications of Continuum Mechanics in Structural Geology (Modern Structural Geology)

Book Description

Modern Structural Geology, Volume 3 gives a practical introduction to how mathematical tools (continuum mechanics) can be used to model geological structures (i.e., naturally deformed rocks).

It provides a strong emphasis on the application of mathematics to solving real geological problems.

This is the third volume of a highly successful textbook series. It sets out in detail many fundamental and modern research techniques, some for the first time.

It is richly illustrated with photographs and diagrams of naturally deformed rocks. Very few books in the field contain even a fraction of this illustrative material.

Because of the somewhat complex nature of some of the mathematical techniques, computer methods are sometimes needed to formulate solutions to the problems. These programs are fully listed in BASIC language at the end of the relevant Session, and a disk of these programs suitable for MAC and PC hardware is provided.

Modern Structural Geology, Volume 3 is intended for advanced undergraduate and graduate students studying structural geology; the secondary market are mechanical and civil engineers wanting a working knowledge of earth sciences; mathematicians wanting to develop practical applications of continuum mechanics.

* Volumes 1 and 2 are best-sellers and widely adopted
* Mathematical modelling programs included on CD-Rom
* Exercises at the end of each chapter
* Superb photography

Introduction to Hydrocodes (Studies in Applied Mechanics)

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Introduction to Hydrocodes (Studies in Applied Mechanics)
Jonas Zukas
Manufacturer: Elsevier Science
ProductGroup: Book
Binding: Hardcover

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Explosive Effects and Applications
Dynamic Behavior of Materials
Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena

ASIN: 0080443486

Book Description

A hydrocode refers to a computer program used for the study of the dynamic response of materials and structures to impulse (primary blast), impact (involving everything from car and aircraft collisions to impacts of space structures by assorted debris).

The understanding of hydrocodes requires knowledge of numerical methods in the code as well as a keen understanding of the physics of the problem being addressed. This can take many years to learn via codes. There are currently a number of titles addressing the physics of high pressure and high rate material but nothing introducing the novice to the fundamentals of this highly technical and complicated study. This title bridges the gap, bringing together the large body of literature, scattered through diverse journals, government and corporate reports and conference proceedings. As valuable as the text are the cited references and the combination will take years off the preparation time of future code users.

* Introduces complex physics essential for the understanding of hydrocodes
* Infused with over 30 years practical experience in the field
* Brings together a wide range of literature saving valuable research time

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Mechanics and Strength of Materials
Vitor Dias da Silva
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 3540251316

Book Description

This textbook gives a clear and thorough presentation of the fundamental principles of mechanics and strength of materials. It provides both the theory and applications of mechanics of materials on an intermediate theoretical level, ranging from the mechanical properties of materials through the effects of axial load, torsion, bending, and transverse shear to stresses and strains in bars and continuum mechanics. The book is aimed at graduate and advanced undergraduate students in materials science courses in Mechanical, Civil, and Aerospace Engineering departments. Due to its solid theoretical presentation of basic concepts, the book can also be used as a reference tool by postgraduates and researchers in the fields of solid mechanics as well as practicing engineers.

Theory of Multicomponent Fluids (Applied Mathematical Sciences, Vol. 135)

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Beyond the mundane

Theory of Multicomponent Fluids (Applied Mathematical Sciences, Vol. 135)
Donald A. Drew , and Stephen L. Passman
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Fundamentals of Multiphase Flow
Bubbles, Drops, and Particles

ASIN: 0387983805

Book Description

This book is an exposition of the derivation and use of equations of motion for two-phase flow, which include bubbly liquids and particle -fluid mixtures. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. The book is intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.

Customer Reviews:

Beyond the mundane.......2000-08-30

This is perhaps the very first time multi-fluid modelling was given such a rigous theoretical analysis. It brings what was known as phenomenological and engineering approaches to the level of a scientific subject being operated with mathematical apparatus and opening new windows to examine problems of hyperbolicity, ill-posedness of the model and addressing multi-scale complexity in two-phase flows. It is useful book to have for anyone who want to capture the essence of multiphase flows and attempt to approach it as a scientific matter, either computationally or experimentally.

Mathematics Applied to Continuum Mechanics

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Good for the price, but often confusing wrt notation

Mathematics Applied to Continuum Mechanics
Lee A. Segel
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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Continuum Mechanics: Concise Theory and Problems
Mathematics Applied to Deterministic Problems in the Natural Sciences (Classics in Applied Mathematics)

ASIN: 0486653692

Book Description

This modern classic analyzes continuum models of fluid flow and solid deformation, examining problems in continuum mechanics, water waves, extremum principles and much more. For upper-level undergraduate and graduate students in the fields of applied mathematics, science and engineering.

Customer Reviews:

Good for the price, but often confusing wrt notation.......2006-10-24

Dover publications is famous for low price academic books, and this one is no exception. It retails for around $14, so beware of marketplace sellers charging more. The book is good value for the money and goes into great detail about the mathematics. There are also lots of examples (and some but only some even have hints). If I were to *really* factor price into my rating, I'd give it one star more.

The two areas where this book could have been better is (1) It does not explain the physical significance of the things it discusses: this is nitpicking at best coz the book is clearly slanted towards mathematics, not physics. (2) The notation is confusing. This is perhaps the only book in the world which uses U for Airy stress function. In other places, U is displacement, so we are not even consistent. I dislike authors changing notation on us, especially when there's not even a list of symbols page. They assume the book is being read from start to finish, which for an academic book is a lousy assumption to make.

I will point out that I have read this book very selectively: mostly the first 4 chapters (intro, tensors, cfd, elasticity) and part of the variational methods section (which is clearly inferior to Gelfand and Fomin). The section on waves might be stellar but I havent read it at all.

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Tensor Analysis and Continuum Mechanics
Y.R. Talpaert
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402010559

Book Description

This volume combines an illustration of the theory of tensors and the foundations of continuum mechanics. Firstly, a detailed tensor analysis is developed in Cartesian and general coordinates. Definitions, propositions, and examples relative to operations on tensors, canonical isomorphism, Euclidean vector spaces, exterior algebra, point spaces, metric element, Christoffel symbols, covariant and absolute derivatives, adjoint, differential operators, and many other concepts are introduced in a rigorous and practical way. The topic is not merely viewed as an autonomous mathematical discipline, but as a preparation for theories of physics such as general relativity theory, fluid-dynamics, engineering, and differential geometry. Secondly, developed in symbiosis with tensor analysis, continuum mechanics thoroughly covers Lagrangian and Eulerian descriptions, deformations, kinematics of continua, fundamental laws, principle of virtual work, linear elasticity and more. This work lays the groundwork for more technical subjects as strength of materials, plasticity, viscoelasticity, and nonlinear continuum mechanics. The material is presented with great pedagogical care, a summary of formulae and a glossary of symbols are provided, as well as ninety-five solved problems. The book is suitable as a text for third year students of mathematics, physics and engineering, and for anyone wishing to acquire insight into the mathematics of mechanics, the mathematics of physics, the mathematics of engineering, continuum mechanics, elasticity and viscoelasticity, linear and multilinear algebra, or matrix theory.

Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)

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Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)
E. van Groesen , and Jaap Molenaar
Manufacturer: Society for Industrial and Applied Mathematics, SIAM
ProductGroup: Book
Binding: Paperback

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ASIN: 089871625X

Product Description

Mathematical modeling the ability to apply mathematical concepts and techniques to real-life systems has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook. Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modeling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples. Readers will benefit from the exercises placed throughout the text and the Challenging Problems sections found at the ends of several chapters. The last chapter is devoted to elaborated case studies in polymer dynamics, fiber spinning, water waves, and waveguide optics.

Fields, Flows and Waves: An Introduction to Continuum Models (Springer Undergraduate Mathematics Series)

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Fields, Flows and Waves: An Introduction to Continuum Models (Springer Undergraduate Mathematics Series)
David F. Parker
Manufacturer: Springer
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Binding: Paperback

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Vector Calculus
Further Linear Algebra
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Essential Topology (Springer Undergraduate Mathematics Series)

ASIN: 1852337087

Book Description

This book, derived from an innovative course of lectures, is a first introduction to the mathematical description of fields, flows and waves. It shows students, early in their studies, how many of the topics they have encountered are useful in constructing, analysing and interpreting phenomena in the real world. Designed for second-year undergraduate students in mathematics, mathematical physics, and engineering, it presumes only a limited familiarity with several variable calculus and vector fields. It develops the concepts of flux, conservation law and boundary value problem through simple examples of heat flow, electric potentials and gravitational fields. The ideas are developed through worked examples, and a range of exercises (with solutions) is provided to test understanding. Chapters 1-7 contain ample material for an introductory lecture course, while later chapters on waves in fluids, solids and electromagnetism, and on bio-mathematics, show how the extension of earlier ideas leads to the description and explanation of important topics in modern technology and science.

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Fundamentals of Surface Mechanics
Frederick F. Ling , W. Michael Lai , and Don A. Lucca
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 0387954236

Book Description

This thoroughly revised and updated edition of the classic text on surface mechanics preserves the objectives of the original: the rigorous derivation of surface properties such as temperature and deformation from the differential equations of continuum mechanics. From such solutions for the surfaces of single bodies one can then formulate problems involving two bodies at rest or in relative motion in terms of a singular integral equation. The discussion is analytical and theoretical, but animated by the authors' decades of experience in applications and experimental mechanics. This new edition has been updated to include many technologically motivated problems and solutions, especially computer solutions. Beginning with a survey of the field equations of classical continuum mechanics, the book continues with a discussion of surface temperatures in moving bodies. It then turns to semi-infinite and layered elastic media, discussing stress and deformation as well as thermal stress and associate deformation fields. Treatments of viscoelasticity and perfect plasticity concentrate on semi-infinite solids; these are followed by a discussion of rough surfaces. The book concludes with a lengthy chapter of applications. An appendix discusses integral equations.

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A moderate text book for continuum mechanics

Applied Continuum Mechanics
T. J. Chung
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521482976

Book Description

This book offers a concise, applications-oriented introduction to continuum mechanics. It begins with a review of vectors and tensors and their applications to the domain and boundary integrals. The remaining chapters cover kinematics, equilibrium and kinetics, elastic solids, and Newtonian fluids. Every chapter includes numerous worked examples and problems. By providing a reasonable balance between mathematical rigor and practical applications, between solids and fluids, and between linear and nonlinear theories, this timely book will be useful to engineering students, as well as practicing engineers and applied scientists.

Customer Reviews:

A moderate text book for continuum mechanics.......2000-03-25

This book is slightly a bit too rough and the author did not attempt to give the reader a rigorous understanding of what is continuum mechanics. Formulas are given without further explaination why. However, for those who wish to pass the exam but dont really want to know more, this is a good choice.

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