An Introduction To Continuum Mechanics After Truesdell And Noll

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An Introduction To Continuum Mechanics After Truesdell And Noll

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Author : D.R Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-10-31

An Introduction To Continuum Mechanics After Truesdell And Noll written by D.R Smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-31 with Technology & Engineering categories.

This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.

An Introduction To Continuum Mechanics After Truesdell And Noll

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Author : D.R Smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

An Introduction To Continuum Mechanics After Truesdell And Noll written by D.R Smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.

This book provides a brief introduction to rational continuum mechanics in a form suitable for students of engineering, mathematics and science. The presentation is tightly focused on the simplest case of the classical mechanics of nonpolar materials, leaving aside the effects of internal structure, temperature and electromagnetism, and excluding other mathematical models, such as statistical mechanics, relativistic mechanics and quantum mechanics. Within the limitations of the simplest mechanical theory, the author had provided a text that is largely self-contained. Though the book is primarily an introduction to continuum mechanics, the lure and attraction inherent in the subject may also recommend the book as a vehicle by which the student can obtain a broader appreciation of certain important methods and results from classical and modern analysis.

An Introduction To Continuum Mechanics After Truesdell And Noll

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Author : D.R Smith
language : en
Publisher: Springer
Release Date : 2013-01-12

An Introduction To Continuum Mechanics After Truesdell And Noll written by D.R Smith and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-12 with Technology & Engineering categories.

Continuum Mechanics Through The Twentieth Century

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Author : Gerard A Maugin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-08

Continuum Mechanics Through The Twentieth Century written by Gerard A Maugin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-08 with Science categories.

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Principles Of Continuum Mechanics

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Author : Zdeněk Martinec
language : en
Publisher: Springer
Release Date : 2019-05-31

Principles Of Continuum Mechanics written by Zdeněk Martinec and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-31 with Mathematics categories.

This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. The book concludes by covering the theory of small motions in a medium with a finite prestress. In general, the emphasis is on presenting the content in a clear and straightforward way that requires only an elementary grasp of calculus, linear algebra, and Newtonian mechanics. The book is intended for students of physics, mechanics, engineering and the geosciences, as well as applied mathematics, with a year or more of college calculus behind them.

Continuum Mechanics

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Author : I-Shih Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Continuum Mechanics written by I-Shih Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.

In this book the basic principles of continuum mechanics and thermodynam ics are treated in the tradition of the rational framework established in the 1960s, typically in the fundamental memoir "The Non-Linear Field Theories of Mechanics" by Truesdell and Noll. The theoretical aspect of constitutive theories for materials in general has been carefully developed in mathemati cal clarity - from general kinematics, balance equations, material objectivity, and isotropic representations to the framework of rational thermodynamics based on the entropy principle. However, I make no claim that the subjects are covered completely, nor does this book cover solutions and examples that can usually be found in textbooks of fluid mechanics and linear elasticity. However, some of the interesting examples of finite deformations in elastic materials, such as biaxial stretching of an elastic membrane and inflation of a rubber balloon, are discussed. In the last two chapters of the book, some recent developments in ther modynamic theories are considered. Specifically, they emphasize the use of Lagrange multipliers, which enables the exploitation of the entropy principle in a systematic manner for constitutive equations, and introduce some basic notions of extended thermodynamics. Although extended thermodynamics is closely related to the kinetic theory of ideal gases, very limited knowledge of kinetic theory is needed.

Weird Scientists The Creators Of Quantum Physics

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Author : Jeffrey Strickland
language : en
Publisher: Lulu.com
Release Date : 2011-09-04

Weird Scientists The Creators Of Quantum Physics written by Jeffrey Strickland and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-04 with History categories.

Weird Scientists is a sequel to Men of Manhattan. As I wrote the latter about the nuclear physicists who brought in the era of nuclear power, quantum mechanics (or quantum physics) was unavoidable. Many of the contributors to the science of splitting the atom were also contributors to quantum mechanics. Atomic physics, particle physics, quantum physics, and even relativity are all interrelated. This book is about the men and women who established the science that shook the foundations of classical physics, removed determinism from measurement, and created alternative worlds of reality. The book introduces fundamental concepts of quantum mechanics, roughly in the order they were discovered, as a launching point for describing the scientist and the work that brought forth the concepts.

Continuum Mechanics Volume I

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Author : José Merodio
language : en
Publisher: EOLSS Publications
Release Date : 2011-11-30

Continuum Mechanics Volume I written by José Merodio and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with categories.

The main objective of continuum mechanics is to predict the response of a body that is under the action of external and/or internal influences, i.e. to capture and describe different mechanisms associated with the motion of a body that is under the action of loading. A body in continuum mechanics is considered to be matter continuously distributed in space. Hence, no attention is given to the microscopic (atomic) structure of real materials although non-classical generalized theories of continuum mechanics are able to deal with the mesoscopic structure of matter (i.e. defects, cracks, dispersive lengths, ...). Matter occupies space in time and the response of a body in continuum mechanics is restricted to the Newtonian space-time of classical mechanics in this volume. Einstein’s theory of relativity is not considered. In the classical sense, loading is considered as any action that changes the motion of the body. This includes, for instance, a change in temperature or a force applied. By introducing the concept of configurational forces a load may also be considered as a force that drives a change in the material space, for example the opening of a crack. Continuum mechanics refers to field descriptions of phenomena that are usually modeled by partial differential equations and, from a mathematical point of view, require non-standard knowledge of non-simple technicalities. One purpose in this volume has been to present the different subjects in a self-contained way for a general audience. The organization of the volume is as follows. Mathematically, to predict the response of a body it is necessary to formulate boundary value problems governed by balance laws. The theme of the volume, that is an overview of the subject, has been written with this idea in mind for beginners in the topic. Chapter 1 is an introduction to continuum mechanics based on a one-dimensional framework in which, simultaneously, a more detailed organization of the chapters of this volume is given. A one-dimensional approach to continuum mechanics in some aspects maybe misleading since the analysis is oversimplified. Nevertheless, it allows us to introduce the subject through the early basic steps of the continuum analysis for a general audience. Chapters 3, 4 and 5 are devoted to the mathematical setting of continuum analysis: kinematics, balance laws and thermodynamics, respectively. Chapters 6 and 7 are devoted to constitutive equations. Chapters 8 and 9 deal with different issues in the context of linear elastostatics and linear elastodynamics and waves, respectively, for solids. Linear Elasticity is a classical and central theory of continuum mechanics. Chapter 10 deals with fluids while chapter 11 analyzes the coupled theory of thermoelasticity. Chapter 12 deals with nonlinear elasticity and its role in the continuum framework. Chapters 13 and 14 are dedicated to different applications of solid and fluid mechanics, respectively. The rest of the chapters involve some advanced topics. Chapter 15 is dedicated to turbulence, one of the main challenges in fluid mechanics. Chapter 16 deals with electro-magneto active materials (a coupled theory). Chapter 17 deals with specific ideas of soft matter and chapter 18 deals with configurational forces. In chapter 19, constitutive equations are introduced in a general (implicit) form. Well-posedness (existence, time of existence, uniqueness, continuity) of the equations of the mechanics of continua is an important topic which involves sophisticated mathematical machinery. Chapter 20 presents different analyses related to these topics. Continuum Mechanics is an interdisciplinary subject that attracts the attention of engineers, mathematicians, physicists, etc., working in many different disciplines from a purely scientific environment to industrial applications including biology, materials science, engineering, and many other subjects.

An Introduction To Continuum Mechanics

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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-29

An Introduction To Continuum Mechanics written by J. N. Reddy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-29 with Mathematics categories.

This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.

Handbook Of Research On Form And Morphogenesis In Modern Architectural Contexts

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Author : D'Uva, Domenico
language : en
Publisher: IGI Global
Release Date : 2018-02-23

Handbook Of Research On Form And Morphogenesis In Modern Architectural Contexts written by D'Uva, Domenico and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-23 with Art categories.

As architectural designs continue to push boundaries, there is more exploration into the bound shape of architecture within the limits of spaces made for human usability and interaction. The Handbook of Research on Form and Morphogenesis in Modern Architectural Contexts provides emerging research on the process of architectural form-finding as an effort to balance perceptive efficiency with functionality. While highlighting topics such as architectural geometry, reverse modeling, and digital fabrication, this book details the geometric process that forms the shape of a building. This publication is a vital resource for scholars, IT professionals, engineers, architects, and business managers seeking current research on the development and creation of architectural design.