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The Breadth And Depth Of Continuum Mechanics


The Breadth And Depth Of Continuum Mechanics
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The Breadth And Depth Of Continuum Mechanics


The Breadth And Depth Of Continuum Mechanics
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Author : Constantine M. Dafermos
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Breadth And Depth Of Continuum Mechanics written by Constantine M. Dafermos 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 2012-12-06 with Science categories.


This volume collects papers dedicated to Jerry Ericksen on his sixtieth birthday, December 20, 1984. They first appeared in Volumes 82-90 (1983-1985) of the Archive for Rational Mechanics and Analysis. At the request of the Editors the list of authors to be invited was drawn up by C. M. Dafermos, D. D. Joseph, and F. M. Leslie. The breadth and depth of the works here reprinted reflect the corresponding qualities in Jerry Ericksen's research, teaching, scholarship, and inspiration. His interests and expertness center upon the mechanics of materials and extend to everything that may contribute to it: pure analysis, algebra, geometry, through all aspects of theoretical mechanics to fundamental experiment, all of these illumi nated by an intimate and deep familiarity with the sources, even very old ones. He is independent of school and contemptuous of party spirit; his generosity in giving away his ideas is renowned, but not everyone is capable of accepting what is offered. His writings are totally free of broad claims and attributions beyond his own study. Some are decisive, some are prophetic, and all are forthright. His work has served as a beacon of insight and simple honesty in an age of ever more trivial and corrupt science. The authors of the memoirs in this volume are his students, colleagues, admirers, and (above all) his friends.



The Breadth And Depth Of Continuum Mechanics


The Breadth And Depth Of Continuum Mechanics
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Author :
language : en
Publisher:
Release Date : 1986

The Breadth And Depth Of Continuum Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.




Methods And Tastes In Modern Continuum Mechanics


Methods And Tastes In Modern Continuum Mechanics
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Author : Roger Fosdick
language : en
Publisher: Springer
Release Date : 2011-09-15

Methods And Tastes In Modern Continuum Mechanics written by Roger Fosdick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-15 with Science categories.


This book is dedicated to the memory of Donald E. Carlson, who enjoyed a long distinguished career as a Professor of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign; he influenced the mechanics community through his teachings, publications and interactions. The book disseminates unique research investigations which give breadth and depth to the field of continuum mechanics and provide a vision for future advancements. The common bond of Don's publications was his sound theoretical developments and fundamental insight. He carefully delineated the principal roles of kinematics, conservation laws (including the second law of thermodynamics) and constitutive assumptions not only in his discussions and writings about fundamentals in mechanics but also in his work on the formulation of initial-boundary value problems that arise in modeling the behavior of elastic and thermoelastic bodies. This book expands this lucid practice by applying these roles to model a plethora of physical phenomena on the foundations and applications of modern continuum mechanics. This is a hardbound spinoff edition previously published in the Journal of Elasticity, volumes 104 and 105, 2011.



Methods And Tastes In Modern Continuum Mechanics


Methods And Tastes In Modern Continuum Mechanics
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Author : Roger Fosdick
language : en
Publisher: Springer
Release Date : 2011-12-01

Methods And Tastes In Modern Continuum Mechanics written by Roger Fosdick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-01 with Science categories.


This book is dedicated to the memory of Donald E. Carlson, who enjoyed a long distinguished career as a Professor of Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign; he influenced the mechanics community through his teachings, publications and interactions. The book disseminates unique research investigations which give breadth and depth to the field of continuum mechanics and provide a vision for future advancements. The common bond of Don's publications was his sound theoretical developments and fundamental insight. He carefully delineated the principal roles of kinematics, conservation laws (including the second law of thermodynamics) and constitutive assumptions not only in his discussions and writings about fundamentals in mechanics but also in his work on the formulation of initial-boundary value problems that arise in modeling the behavior of elastic and thermoelastic bodies. This book expands this lucid practice by applying these roles to model a plethora of physical phenomena on the foundations and applications of modern continuum mechanics. This is a hardbound spinoff edition previously published in the Journal of Elasticity, volumes 104 and 105, 2011.



Introduction To Solid Mechanics


Introduction To Solid Mechanics
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Author : Jacob Lubliner
language : en
Publisher: Springer
Release Date : 2016-10-12

Introduction To Solid Mechanics written by Jacob Lubliner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-12 with Science categories.


This expanded second edition presents in one text the concepts and processes covered in statics and mechanics of materials curricula following a systematic, topically integrated approach. Building on the novel pedagogy of fusing concepts covered in traditional undergraduate courses in rigid-body statics and deformable body mechanics, rather than simply grafting them together, this new edition develops further the authors’ very original treatment of solid mechanics with additional figures, an elaboration on selected solved problems, and additional text as well as a new subsection on viscoelasticity in response to students’ feedback. Introduction to Solid Mechanics: An Integrated Approach, Second Edition, offers a holistic treatment of the depth and breadth of solid mechanics and the inter-relationships of its underlying concepts. Proceeding from first principles to applications, the book stands as a whole greater than the sum of its parts.



The Rational Spirit In Modern Continuum Mechanics


The Rational Spirit In Modern Continuum Mechanics
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Author : Chi-Sing Man
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-19

The Rational Spirit In Modern Continuum Mechanics written by Chi-Sing Man 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 2006-01-19 with Science categories.


Through his voluminous and in?uential writings, editorial activities, organi- tional leadership, intellectual acumen, and strong sense of history, Clifford - brose Truesdell III (1919–2000) was the main architect for the renaissance of - tional continuum mechanics since the middle of the twentieth century. The present collection of 42 essays and research papers pays tribute to this man of mathematics, science, and natural philosophy as well as to his legacy. The ?rst ?ve essays by B. D. Coleman, E. Giusti, W. Noll, J. Serrin, and D. Speiser were texts of addresses given by their authors at the Meeting in memory of Clifford Truesdell, which was held in Pisa in November 2000. In these essays the reader will ?nd personal reminiscences of Clifford Truesdell the man and of some of his activities as scientist, author, editor, historian of exact sciences, and principal founding member of the Society for Natural Philosophy. The bulk of the collection comprises 37 research papers which bear witness to the Truesdellian legacy. These papers cover a wide range of topics; what ties them together is the rational spirit. Clifford Truesdell, in his address upon receipt of a Birkhoff Prize in 1978, put the essence of modern continuum mechanics succinctly as “conceptual analysis, analysis not in the sense of the technical term but in the root meaning: logical criticism, dissection, and creative scrutiny.



Fluid Mechanics Of Viscoelasticity


Fluid Mechanics Of Viscoelasticity
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Author : R.R. Huilgol
language : en
Publisher: Elsevier
Release Date : 1997-06-02

Fluid Mechanics Of Viscoelasticity written by R.R. Huilgol and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-02 with Science categories.


The areas of suspension mechanics, stability and computational rheology have exploded in scope and substance in the last decade. The present book is one of the first of a comprehensive nature to treat these topics in detail. The aim of the authors has been to highlight the major discoveries and to present a number of them in sufficient breadth and depth so that the novice can learn from the examples chosen, and the expert can use them as a reference when necessary. The first two chapters, grouped under the category General Principles, deal with the kinematics of continuous media and the balance laws of mechanics, including the existence of the stress tensor and extensions of the laws of vector analysis to domains bounded by fractal curves or surfaces. The third and fourth chapters, under the heading Constitutive Modelling, present the tools necessary to formulate constitutive equations from the continuum or the microstructural approach. The last three chapters, under the caption Analytical and Numerical Techniques, contain most of the important results in the domain of the fluid mechanics of viscoelasticity, and form the core of the book. A number of topics of interest have not yet been developed to a theoretical level from which applications can be made in a routine manner. However, the authors have included these topics to make the reader aware of the state of affairs so that research into these matters can be carried out. For example, the sections which deal with domains bounded by fractal curves or surfaces show that the existence of a stress tensor in such regions is still open to question. Similarly, the constitutive modelling of suspensions, especially at high volume concentrations, with the corresponding particle migration from high to low shear regions is still very sketchy.



Continuum Mechanics


Continuum Mechanics
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Author : Fridtjov Irgens
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-10

Continuum Mechanics written by Fridtjov Irgens 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 2008-01-10 with Science categories.


This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.



Advances In Continuum Mechanics And Thermodynamics Of Material Behavior


Advances In Continuum Mechanics And Thermodynamics Of Material Behavior
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Author : Donald E. Carlson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Advances In Continuum Mechanics And Thermodynamics Of Material Behavior written by Donald E. Carlson 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 2012-12-06 with Science categories.


The papers included in this volume were presented at the Symposium on Advances in the Continuum Mechanics and Thermodynamics of Material Behavior, held as part of the 1999 Joint ASME Applied Mechanics and Materials Summer Conference at Virginia Tech on June 27-30, 1999. The Symposium was held in honor of Professor Roger L. Fosdick on his 60th birthday. The papers are written by prominent researchers in the fields of mechanics, thermodynamics, materials modeling, and applied mathematics. They address open questions and present the latest development in these and related areas. This volume is a valuable reference for researchers and graduate students in universities and research laboratories.



Introduction To Continuum Mechanics For Engineers


Introduction To Continuum Mechanics For Engineers
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Author : Ray M. Bowen
language : en
Publisher: Springer
Release Date : 1989-04-30

Introduction To Continuum Mechanics For Engineers written by Ray M. Bowen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-04-30 with Science categories.


This textbook is intended to introduce engineering graduate students to the essentials of modern continuum mechanics. The objective of an introductory course is to establish certain classical continuum models within a modern framework. Engineering students need a firm understanding of classical models such as linear viscous fluids (Navier-Stokes theory) and infinitesimal elasticity. This understanding should include an appreciation for the status of the classical models as special cases of general nonlinear continuum models. The relationship of the classical models to nonlinear models is essential in light of the increasing reliance, by engineering designers and researchers, on prepackaged computer codes. These codes are based upon models which have a specific and limited range of validity. Given the danger associated with the use of these computer codes in circumstances where the model is not valid, engineers have a need for an in-depth understanding of continuum mechanics and the continuum models which can be formu lated by use of continuum mechanics techniques. Classical continuum models and others involve a utilization of the balance equations of continuum mechanics, the second law of thermo dynamics, and the principles of material frame indifference and material symmetry. In addition, they involve linearizations of various types. In this text, an effort is made to explain carefully how the governing principles, linearizations, and other approximations combine to yield classical con tinuum models. A fundamental understanding of how these models evolve is most helpful when one attempts to study models which account for a wider array of physical phenomena.