Contemporary Developments In Continuum Mechanics And Partial Differential Equations
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Contemporary Developments In Continuum Mechanics And Partial Differential Equations
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Author :
language : en
Publisher: Elsevier
Release Date : 1978-01-01
Contemporary Developments In Continuum Mechanics And Partial Differential Equations written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.
Contemporary Developments in Continuum Mechanics and Partial Differential Equations
Contemporary Developments In Continuum Mechanics And Partial Differential Equations
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Author : Luiz Adauto da Justa Medeiros
language : en
Publisher:
Release Date : 1977
Contemporary Developments In Continuum Mechanics And Partial Differential Equations written by Luiz Adauto da Justa Medeiros and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Contemporary Developments In Continuum Mechanics And Partial Differential Equations Proceedings Of The International Symposium On Continuum Mechanics And Partial Differential Equations Rio De Janeiro August 1977
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Author : International Symposium on Continuum Mechanics and Partial Differential Equations
language : en
Publisher:
Release Date : 1978
Contemporary Developments In Continuum Mechanics And Partial Differential Equations Proceedings Of The International Symposium On Continuum Mechanics And Partial Differential Equations Rio De Janeiro August 1977 written by International Symposium on Continuum Mechanics and Partial Differential Equations and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Perspectives In Nonlinear Partial Differential Equations
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Author : Henri Berestycki
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Perspectives In Nonlinear Partial Differential Equations written by Henri Berestycki and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges.
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".
Continuum Mechanics Volume Iii
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Author : José Merodio
language : en
Publisher: EOLSS Publications
Release Date : 2011-11-30
Continuum Mechanics Volume Iii 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.
Analysis And Thermomechanics
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Author : Bernard D. Coleman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis And Thermomechanics written by Bernard D. Coleman 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 book presents a collection of papers giving the flavor of current research activities in continuum mechanics, fluid mechanics, thermodynamics and the mathematical analysis related to these topics. Written by leading experts in the field, all the papers in this collection have been carefully refereed according to the standards of the "Archive for Rational Mechanics and Analysis."
Proceedings Of The Iutam Symposium On Finite Elasticity
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Author : Donald E. Carlson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Iutam Symposium On Finite Elasticity 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 Technology & Engineering categories.
Although finite elasticity theory has its roots in the nineteenth century, its development was largely neglected until the end of the Second World War. Since then it has attracted a substantial amount of attention and considerable progress has been made both in our understanding of the basis of the subject and in its applications. It occurred to me about three years ago that finite elasticity had reached a level of development at which an international symposium on the subject was overdue. Accordingly, with strong encouragement from Professor P. M. Naghdi and numerous other colleagues, I submitted to the International Union of Theoretical and Applied Mechanics a proposal for their support of such a symposium to be held at Lehigh University during the period August 10-15, 1980. The proposal received enthusiastic support from the International Union and an international scientific committee under my chairmanship, consisting of Professors G. Fichera (Rome), W. T. Koiter (Delft), L. I. Sedov (Moscow), and A. J. M. Spencer (Nottingham), was assigned responsibility for the scientific program. In constructing the program we aimed at as broad a coverage as possible of the many aspects of the subject on which significant progress is currently being made. These range from theoretical studies of existence and uniqueness of solutions of the governing equations of finite elasticity theory to experimental studies of its application to such problems as tear resistance and friction in vulcanized rubbers.
Transactions Of The Conference Of Arsenal Mathematicians
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Author :
language : en
Publisher:
Release Date : 1980
Transactions Of The Conference Of Arsenal Mathematicians written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Topics In Finite Elasticity
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Author : Morton E. Gurtin
language : en
Publisher: SIAM
Release Date : 1981-09-01
Topics In Finite Elasticity written by Morton E. Gurtin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-09-01 with Technology & Engineering categories.
This monograph presents a derivation of the basic equations of the theory of finite elasticity.