Journal Of Rational Mechanics And Analysis


Journal Of Rational Mechanics And Analysis
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Journal Of Rational Mechanics And Analysis


Journal Of Rational Mechanics And Analysis
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Author :
language : en
Publisher:
Release Date : 1956

Journal Of Rational Mechanics And Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Mathematics categories.




Analysis And Continuum Mechanics


Analysis And Continuum Mechanics
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Author : Stuart S. Antman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analysis And Continuum Mechanics written by Stuart S. Antman 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 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".



Existence Theorems For Some Hydrodynamical Free Boundary Problems


Existence Theorems For Some Hydrodynamical Free Boundary Problems
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Author : James B. Serrin Jr.
language : en
Publisher:
Release Date : 2013-03

Existence Theorems For Some Hydrodynamical Free Boundary Problems written by James B. Serrin Jr. and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03 with categories.


Additional Contributors Are D. Gilbarg, V. Hlavaty, And E. Hopf. Indiana University Mathematics Journal.



Analysis And Continuum Mechanics


Analysis And Continuum Mechanics
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Author : STUART ANTMAN
language : en
Publisher: Springer
Release Date : 2012-01-06

Analysis And Continuum Mechanics written by STUART ANTMAN and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-06 with Technology & Engineering categories.


The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis".



Collected Papers Of R S Rivlin


Collected Papers Of R S Rivlin
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Author : Grigory I. Barenblatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-14

Collected Papers Of R S Rivlin written by Grigory I. Barenblatt 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 2013-12-14 with Technology & Engineering categories.


R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.



Tensor Calculus And Differential Geometry For Engineers


Tensor Calculus And Differential Geometry For Engineers
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Author : Shahab Sahraee
language : en
Publisher: Springer Nature
Release Date : 2023-12-12

Tensor Calculus And Differential Geometry For Engineers written by Shahab Sahraee and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-12 with Technology & Engineering categories.


The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.



Advanced Mechanics Of Continua


Advanced Mechanics Of Continua
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Author : Karan S. Surana
language : en
Publisher: CRC Press
Release Date : 2016-04-27

Advanced Mechanics Of Continua written by Karan S. Surana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-27 with Science categories.


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.



Rational Mechanics


Rational Mechanics
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Author : C W. Kilmister
language : en
Publisher:
Release Date : 1991

Rational Mechanics written by C W. Kilmister and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mechanics categories.




Progress In International Research On Thermodynamic And Transport Properties


Progress In International Research On Thermodynamic And Transport Properties
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Author : Eric F. Lype
language : en
Publisher: Academic Press
Release Date : 2013-10-22

Progress In International Research On Thermodynamic And Transport Properties written by Eric F. Lype and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.


Progress in International Research on Thermodynamic and Transport Properties covers the proceedings of the 1962 Second Symposium by the same title, held at Purdue University and the Thermophysical Properties Research Center. This symposium brings together theoretical and experimental research works on the thermodynamic and transport properties of gases, liquids, and solids. This text is organized into nine parts encompassing 68 chapters that cover topics from thixotropy to molecular orbital calculations. The first three parts review papers on theoretical, experimental, and computational studies of the various aspects of thermodynamic properties. These parts discuss the principles of phase equilibria, throttling, volume heat capacity, steam, volumetric behavior, enthalpy, and density. The subsequent part highlights the theoretical evaluations of transport properties, such as viscosity, diffusion, and conductivity, as well as the transport processes. These topics are followed by surveys of the theories in intermolecular forces and their applications. Other parts consider the measurement of thermal conductivity, viscosity, and radiation. The final parts examine the properties of ionized gases and non-Newtonian fluids. This book will prove useful to mechanical and chemical engineers.



Physical Foundations Of Continuum Mechanics


Physical Foundations Of Continuum Mechanics
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Author : A. Ian Murdoch
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-22

Physical Foundations Of Continuum Mechanics written by A. Ian Murdoch 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 2012-10-22 with Science categories.


Ian Murdoch's Physical Foundations of Continuum Mechanics will interest engineers, mathematicians, and physicists who study the macroscopic behaviour of solids and fluids or engage in molecular dynamical simulations. In contrast to standard works on the subject, Murdoch's book examines physical assumptions implicit in continuum modelling from a molecular perspective. In so doing, physical interpretations of concepts and fields are clarified by emphasising both their microscopic origin and sensitivity to scales of length and time. Murdoch expertly applies this approach to theories of mixtures, generalised continua, fluid flow through porous media, and systems whose molecular content changes with time. Elements of statistical mechanics are included, for comparison, and two extensive appendices address relevant mathematical concepts and results. This unique and thorough work is an authoritative reference for both students and experts in the field.