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Configurational Forces as Basic Concepts of Continuum Physics

2008-01-20 Science
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Release : 2008-01-20
Genre : Science
Kind : eBook
Book Rating : 567/5 ( reviews)

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Book Synopsis Configurational Forces as Basic Concepts of Continuum Physics by : Morton E. Gurtin

Download or read book Configurational Forces as Basic Concepts of Continuum Physics written by Morton E. Gurtin. This book was released on 2008-01-20. Available in PDF, EPUB and Kindle. Book excerpt: 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

2016-04-19 Mathematics
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Release : 2016-04-19
Genre : Mathematics
Kind : eBook
Book Rating : 131/5 ( reviews)

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Book Synopsis Configurational Forces by : Gerard A. Maugin

Download or read book Configurational Forces written by Gerard A. Maugin. This book was released on 2016-04-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spatial and Material Forces in Nonlinear Continuum Mechanics

2022-03-28 Science
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Release : 2022-03-28
Genre : Science
Kind : eBook
Book Rating : 708/5 ( reviews)

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Book Synopsis Spatial and Material Forces in Nonlinear Continuum Mechanics by : Paul Steinmann

Download or read book Spatial and Material Forces in Nonlinear Continuum Mechanics written by Paul Steinmann. This book was released on 2022-03-28. Available in PDF, EPUB and Kindle. Book excerpt: 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

2004-11-23 Technology & Engineering
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Release : 2004-11-23
Genre : Technology & Engineering
Kind : eBook
Book Rating : 553/5 ( reviews)

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Book Synopsis Configurational Mechanics by : V.K. Kalpakides

Download or read book Configurational Mechanics written by V.K. Kalpakides. This book was released on 2004-11-23. Available in PDF, EPUB and Kindle. Book excerpt: 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 framework provides a novel and unifying view on otherwise diverse disciplines like fracture mechanics, phase transitions, plasticity and dislocation theory. In addition, configurational mechanics can be used in computations because it provides a fruitful interpretation of the field equations in the discretized space. This volume contains eleven contributions from specialists from around Europe Articles concern both theoretical and computational mechanics, electroplasticity, magnetoelasticity, elastoplasticity as well as granular, multiphase and micropolar media.

Configurational Forces

2011 Continuum mechanics
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Release : 2011
Genre : Continuum mechanics
Kind : eBook
Book Rating : 146/5 ( reviews)

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Book Synopsis Configurational Forces by : Gérard A. Maugin

Download or read book Configurational Forces written by Gérard A. Maugin. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

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