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Continuum Mechanics Theory


Continuum Mechanics Theory
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Continuum Mechanics


Continuum Mechanics
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Author : P. Chadwick
language : en
Publisher: Courier Corporation
Release Date : 2012-08-08

Continuum Mechanics written by P. Chadwick and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-08 with Science categories.


DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div



Continuum Mechanics And Theory Of Materials


Continuum Mechanics And Theory Of Materials
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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-12

Continuum Mechanics And Theory Of Materials written by Peter Haupt 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 2002-03-12 with Technology & Engineering categories.


The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.



Continuum Mechanics Theory


Continuum Mechanics Theory
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Author : Sujit Kumar Bose
language : en
Publisher: Alpha Science International, Limited
Release Date : 2017-06-30

Continuum Mechanics Theory written by Sujit Kumar Bose and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-30 with Science categories.


This text gives a clear presentation of continuum mechanics that can be applied to not only classical solid and fluid mechanics, but shows the way to application to newer materials that are increasingly finding technical applications. The book will thus be useful as text for graduate students, and also researchers on mechanics of continuous materials of different varieties.



Continuum Damage Mechanics Theory And Application


Continuum Damage Mechanics Theory And Application
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Author : Dusan Krajcinovic
language : en
Publisher: Springer
Release Date : 2014-05-04

Continuum Damage Mechanics Theory And Application written by Dusan Krajcinovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.




Continuum Mechanics


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.



Geometric Continuum Mechanics And Induced Beam Theories


Geometric Continuum Mechanics And Induced Beam Theories
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Author : Simon R. Eugster
language : en
Publisher: Springer
Release Date : 2015-03-19

Geometric Continuum Mechanics And Induced Beam Theories written by Simon R. Eugster and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-19 with Science categories.


This research monograph discusses novel approaches to geometric continuum mechanics and introduces beams as constraint continuous bodies. In the coordinate free and metric independent geometric formulation of continuum mechanics as well as for beam theories, the principle of virtual work serves as the fundamental principle of mechanics. Based on the perception of analytical mechanics that forces of a mechanical system are defined as dual quantities to the kinematical description, the virtual work approach is a systematic way to treat arbitrary mechanical systems. Whereas this methodology is very convenient to formulate induced beam theories, it is essential in geometric continuum mechanics when the assumptions on the physical space are relaxed and the space is modeled as a smooth manifold. The book addresses researcher and graduate students in engineering and mathematics interested in recent developments of a geometric formulation of continuum mechanics and a hierarchical development of induced beam theories.



Mathematical Theory Of Continuum Mechanics


Mathematical Theory Of Continuum Mechanics
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Author : Rabindranath Chatterjee
language : en
Publisher: Alpha Science Int'l Ltd.
Release Date : 1999

Mathematical Theory Of Continuum Mechanics written by Rabindranath Chatterjee and has been published by Alpha Science Int'l Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.


This text provides an introduction to the theory of continuum mechanics in a logically satisfying form. A simple knowledge of Cartesian tensors is a sufficient prerequisite for this book. The book deals with two major branches of continuum mechanics - the mechanics of elastic solids and the mechanics of fluids providing the basis of civil and mechanical engineering, applied mathematics and physics. Traditional courses in solid mechanics and fluid mechanics are usually taught separately with emphasis on physical behaviour at the cost of rigorous mathematical foundation neglecting the analogies between solids and fluids. The book brings two disciplines under one roof seeking to generalize and unify specialized topics.



Solid Mechanics Theory Of Elasticity And Creep


Solid Mechanics Theory Of Elasticity And Creep
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Author : Holm Altenbach
language : en
Publisher: Springer Nature
Release Date : 2023-02-06

Solid Mechanics Theory Of Elasticity And Creep written by Holm Altenbach and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-06 with Science categories.


This book presents fundamental theoretical and experimental studies of well-known scientists in solid mechanics, hydromechanics, aeromechanics, biomechanics, etc. These studies relate to contact and mixed problems of the theory of elasticity and viscoelasticity, tribology, fracture mechanics, electroelasticity, magnetoelasticity, as well as to the theory of anisotropic shells and plates and are aimed at application in various areas of engineering practice. The book is devoted to the 110th birthday of academician N.Kh. Arutunyan.



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.



The Elements Of Continuum Mechanics


The Elements Of Continuum Mechanics
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Author : C. Truesdell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Elements Of Continuum Mechanics written by C. Truesdell 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 lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.