Configurational Forces
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Configurational Forces As Basic Concepts Of Continuum Physics
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Author : Morton E. Gurtin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-20
Configurational Forces As Basic Concepts Of Continuum Physics written by Morton E. Gurtin 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 2008-01-20 with Science categories.
Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture.
Configurational Forces
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Author : Gerard A. Maugin
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Configurational Forces written by Gerard A. Maugin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local structural rearrangement and its relationship to Eshelby stress. After looking at the relevance of Eshelby stress in the thermodynamic description of singular interfaces, the text focuses on fracture problems, microstructured media, systems with mass exchanges, and electromagnetic deformable media. The concluding chapters discuss the exploitation of the canonical conservation law of momentum in nonlinear wave propagation, the application of canonical-momentum conservation law and material force in numerical schemes, and similarities of fluid mechanics and aerodynamics. Written by a long-time researcher in mechanical engineering, this book provides a detailed treatment of the theory of configurational forces—one of the latest and most fruitful advances in macroscopic field theories. Through many applications, it shows the depth and efficiency of this theory.
Configurational Forces
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Author : Gérard A. Maugin
language : en
Publisher:
Release Date : 2011
Configurational Forces written by Gérard A. Maugin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Continuum mechanics categories.
Spatial And Material Forces In Nonlinear Continuum Mechanics
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Author : Paul Steinmann
language : en
Publisher: Springer Nature
Release Date : 2022-03-28
Spatial And Material Forces In Nonlinear Continuum Mechanics written by Paul Steinmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-28 with Science categories.
This monograph details spatial and material vistas on non-linear continuum mechanics in a dissipation-consistent approach. Thereby, the spatial vista renders the common approach to nonlinear continuum mechanics and corresponding spatial forces, whereas the material vista elaborates on configurational mechanics and corresponding material or rather configurational forces. Fundamental to configurational mechanics is the concept of force. In analytical mechanics, force is a derived object that is power conjugate to changes of generalised coordinates. For a continuum body, these are typically the spatial positions of its continuum points. However, if in agreement with the second law, continuum points, e.g. on the boundary, may also change their material positions. Configurational forces are then power conjugate to these configurational changes. A paradigm is a crack tip, i.e. a singular part of the boundary changing its position during crack propagation, with the related configurational force, typically the J-integral, driving its evolution, thereby consuming power, typically expressed as the energy release rate. Taken together, configurational mechanics is an unconventional branch of continuum physics rationalising and unifying the tendency of a continuum body to change its material configuration. It is thus the ideal formulation to tackle sophisticated problems in continuum defect mechanics. Configurational mechanics is entirely free of restrictions regarding geometrical and constitutive nonlinearities and offers an accompanying versatile computational approach to continuum defect mechanics. In this monograph, I present a detailed summary account of my approach towards configurational mechanics, thereby fostering my view that configurational forces are indeed dissipation-consistent to configurational changes.
Configurational Mechanics Of Materials
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Author : Reinhold Kienzler
language : en
Publisher: Springer
Release Date : 2014-05-04
Configurational Mechanics Of Materials written by Reinhold Kienzler 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 Technology & Engineering categories.
These lecture notes cover numerous elements of configurational mechanics, including mathematical foundations, linear and nonlinear elasticity and continuum mechanics, coupled fields, fracture mechanics, as well as strength of materials.
Configurational Mechanics
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Author : V.K. Kalpakides
language : en
Publisher: CRC Press
Release Date : 2004-02-01
Configurational Mechanics written by V.K. Kalpakides and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-01 with Technology & Engineering categories.
This book comprises papers that were presented at the Symposium on Configurational Mechanics, during the 5th EUROMECH Soil Mechanics Conference in Thessaloniki in August 2003. Configurational (or material) mechanics -in contrast to Newtonian mechanics in Euclidean space- concerns any sort of change or "motion" in the material configuration. This fr
Mechanics Of Material Forces
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Author : Paul Steinmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Mechanics Of Material Forces written by Paul Steinmann 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 2006-01-20 with Technology & Engineering categories.
The notion dealt with in this volume of proceedings is often traced back to the late 19th-century writings of a rather obscure scientist, C. V. Burton. A probable reason for this is that the painstaking de ciphering of this author's paper in the Philosophical Magazine (Vol. 33, pp. 191-204, 1891) seems to reveal a notion that was introduced in math ematical form much later, that of local structural rearrangement. This notion obviously takes place on the material manifold of modern con tinuum mechanics. It is more or less clear that seemingly different phe nomena - phase transition, local destruction of matter in the form of the loss of local ordering (such as in the appearance of structural defects or of the loss of cohesion by the appearance of damage or the exten sion of cracks), plasticity, material growth in the bulk or at the surface by accretion, wear, and the production of debris - should enter a com mon framework where, by pure logic, the material manifold has to play a prominent role. Finding the mathematical formulation for this was one of the great achievements of J. D. Eshelby. He was led to consider the apparent but true motion or displacement of embedded material inhomogeneities, and thus he began to investigate the "driving force" causing this motion or displacement, something any good mechanician would naturally introduce through the duahty inherent in mechanics since J. L. d'Alembert.
Defect And Material Mechanics
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Author : C. Dascalu
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-26
Defect And Material Mechanics written by C. Dascalu 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 2008-03-26 with Technology & Engineering categories.
This volume presents recent developments in the theory of defects and the mechanics of material forces. Most of the contributions were presented at the International Symposium on Defect and Material Forces (ISDMM2007), held in Aussois, France, March 2007.
Emergence
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Author : Mark A. Bedau
language : en
Publisher: MIT Press
Release Date : 2008-03-21
Emergence written by Mark A. Bedau and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-21 with Science categories.
Contemporary classics on the the major approaches to emergence found in contemporary philosophy and science, with chapters by such prominent scholars as John Searle, Stephen Weinberg, William Wimsatt, Thomas Schelling, Jaegwon Kim, Daniel Dennett, Herbert Simon, Stephen Wolfram, Jerry Fodor, Philip Anderson, David Chalmers, and others. Emergence, largely ignored just thirty years ago, has become one of the liveliest areas of research in both philosophy and science. Fueled by advances in complexity theory, artificial life, physics, psychology, sociology, and biology and by the parallel development of new conceptual tools in philosophy, the idea of emergence offers a way to understand a wide variety of complex phenomena in ways that are intriguingly different from more traditional approaches. This reader collects for the first time in one easily accessible place classic writings on emergence from contemporary philosophy and science. The chapters, by such prominent scholars as John Searle, Stephen Weinberg, William Wimsatt, Thomas Schelling, Jaegwon Kim, Robert Laughlin, Daniel Dennett, Herbert Simon, Stephen Wolfram, Jerry Fodor, Philip Anderson, and David Chalmers, cover the major approaches to emergence. Each of the three sections ("Philosophical Perspectives," "Scientific Perspectives," and "Background and Polemics") begins with an introduction putting the chapters into context and posing key questions for further exploration. A bibliography lists more specialized material, and an associated website (http://mitpress.mit.edu/emergence) links to downloadable software and to other sites and publications about emergence. Contributors P. W. Anderson, Andrew Assad, Nils A. Baas, Mark A. Bedau, Mathieu S. Capcarrère, David Chalmers, James P. Crutchfield, Daniel C. Dennett, J. Doyne Farmer, Jerry Fodor, Carl Hempel, Paul Humphreys, Jaegwon Kim, Robert B. Laughlin, Bernd Mayer, Brian P. McLaughlin, Ernest Nagel, Martin Nillson, Paul Oppenheim, Norman H. Packard, David Pines, Steen Rasmussen, Edmund M. A. Ronald, Thomas Schelling, John Searle, Robert S. Shaw, Herbert Simon, Moshe Sipper, Stephen Weinberg, William Wimsatt, and Stephen Wolfram
Iutam Symposium On Progress In The Theory And Numerics Of Configurational Mechanics
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Author : Paul Steinmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-03
Iutam Symposium On Progress In The Theory And Numerics Of Configurational Mechanics written by Paul Steinmann 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 2009-08-03 with Science categories.
Con?gurational mechanics has attracted quite a bit of attention from various - search ?elds over the recent years/decades. Having been regarded in its infancy of the early years as a somewhat obscureand almost mystic ?eld of researchthat could only be understood by a happy few of insiders with a pronounced theoretical inc- nation, con?gurational mechanics has developed by now into a versatile tool that can be applied to a variety of problems. Since the seminal works of Eshelby a general notion of con?gurational - chanics has been developed and has successfully been applied to many pr- lems involving various types of defects in continuous media. The most pro- nent application is certainly the use of con?gurational forces in fracture - chanics. However, as con?gurational mechanics is related to arbitrary mat- ial inhomogeneities it has also very successfully been applied to many ma- rials science and engineering problems such as phase transitions and inelastic deformations. Also the modeling of materials with micro-structure evolution is an important ?eld, in which con?gurational mechanics can provide a better understanding of processes going on within the material. Besides these mechanically, physically, and chemically motivated applications, ideas from con?gurational mechanics are now increasingly applied within computational mechanics.