Gauge Theory and Defects in Solids

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Author :
Publisher : Elsevier
ISBN 13 : 0444600108
Total Pages : 438 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Gauge Theory and Defects in Solids by : D.G.B. Edelen

Download or read book Gauge Theory and Defects in Solids written by D.G.B. Edelen and published by Elsevier. This book was released on 2012-12-02 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new series Mechanics and Physics of Discrete Systems aims to provide a coherent picture of the modern development of discrete physical systems. Each volume will offer an orderly perspective of disciplines such as molecular dynamics, crystal mechanics and/or physics, dislocation, etc. Emphasized in particular are the fundamentals of mechanics and physics that play an essential role in engineering applications.Volume 1, Gauge Theory and Defects in Solids, presents a detailed development of a rational theory of the dynamics of defects and damage in solids. Solutions to field equations are used to determine stresses, dislocation densities and currents that arise from histories of loading of boundaries of bodies. Analysed in detail is a gauge theory with a gauge group that is not semi-simple, and whose action occurs at the classical macroscopic level. Yang-Mills theory is applied where the state variables are elastic displacements in solids, determination of mechanical and electromagnetic observables by choice of gauge conditions is demonstrated, and practices of classical dislocation theory are derived from first principles.

Material and Spatial Gauge Theories of Solids I.

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Publisher :
ISBN 13 :
Total Pages : 84 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Material and Spatial Gauge Theories of Solids I. by : Dimitris C. Lagoudas

Download or read book Material and Spatial Gauge Theories of Solids I. written by Dimitris C. Lagoudas and published by . This book was released on 1988 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Material Inhomogeneities in Elasticity

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Publisher : CRC Press
ISBN 13 : 100011001X
Total Pages : 292 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Material Inhomogeneities in Elasticity by : G.A. Maugin

Download or read book Material Inhomogeneities in Elasticity written by G.A. Maugin and published by CRC Press. This book was released on 2020-09-11 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self contained, this book presents a thorough introduction to the complementary notions of physical forces and material (or configurational) forces. All the required elements of continuum mechanics, deformation theory and differential geometry are also covered. This book will be a great help to many, whilst revealing to others a rather new facet of continuum mechanics in general, and elasticity in particular. An organized exposition of continuum mechanics on the material manifold is given which allows for the consideration of material inhomogeneities in their most appropriate framework. In such a frame the nonlinear elasticity of anisotropic inhomogenous materials appears to be a true field theory. Extensions to the cases of electroelasticity and magnetelasticity are then straightforward. In addition, this original approach provides systematic computational means for the evaluation of characteristic parameters which are useful in various branches of applied mechanics and mathematical physics. This is the case for path-independent integrals and energy-release rates in brittle fracture, the influence of electromagnetic fields on fracture criteria (such as in ceramics), the notion of momentum of electromagnetic fields in matter in optics, and the perturbation of solitons propagating in elastic dispersive systems.

Mechanics of Generalized Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 1441956956
Total Pages : 337 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Mechanics of Generalized Continua by : Gérard A. Maugin

Download or read book Mechanics of Generalized Continua written by Gérard A. Maugin and published by Springer Science & Business Media. This book was released on 2010-03-24 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.

Deformation and Fracture of Solid-State Materials

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Publisher : Springer
ISBN 13 : 1493920987
Total Pages : 250 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Deformation and Fracture of Solid-State Materials by : Sanichiro Yoshida

Download or read book Deformation and Fracture of Solid-State Materials written by Sanichiro Yoshida and published by Springer. This book was released on 2014-11-17 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces a comprehensive theory of deformation and fracture to engineers and applied scientists. Here “comprehensive” means that the theory can describe all stages of deformation from elastic to plastic and plastic to fracturing stage on the same basis (equations). The comprehensive approach is possible because the theory is based on a fundamental physical principle called the local symmetry, or gauge invariance, as opposed to phenomenology. Professor Yoshida explains the gist of local symmetry (gauge invariance) intuitively so that engineers and applied physicists can digest it easily, rather than describing physical or mathematical details of the principle. The author also describes applications of the theory to practical engineering, such as nondestructive testing in particular, with the use of an optical interferometric technique called ESPI (Electronic Speckle-Pattern Interferometry).The book is not a manual of applications. Instead, it provides information on how to apply physical concepts to engineering applications.

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 980 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 2009 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proceedings A publishes refereed research papers in the mathematical, physical, and engineering sciences. The emphasis is on new, emerging areas of interdisciplinary and multidisciplinary research." Continues: Proceedings. Mathematical and physical sciences.

Optical Properties of Solids

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Publisher : Academic Press
ISBN 13 : 1483220761
Total Pages : 273 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Optical Properties of Solids by : Frederick Wooten

Download or read book Optical Properties of Solids written by Frederick Wooten and published by Academic Press. This book was released on 2013-10-22 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Properties of Solids covers the important concepts of intrinsic optical properties and photoelectric emission. The book starts by providing an introduction to the fundamental optical spectra of solids. The text then discusses Maxwell's equations and the dielectric function; absorption and dispersion; and the theory of free-electron metals. The quantum mechanical theory of direct and indirect transitions between bands; the applications of dispersion relations; and the derivation of an expression for the dielectric function in the self-consistent field approximation are also encompassed. The book further tackles current-current correlations; the fluctuation-dissipation theorem; and the effect of surface plasmons on optical properties and photoemission. People involved in the study of the optical properties of solids will find the book invaluable.

Non-Classical Continuum Mechanics

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Publisher : Springer
ISBN 13 : 9811024340
Total Pages : 268 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Non-Classical Continuum Mechanics by : Gérard A. Maugin

Download or read book Non-Classical Continuum Mechanics written by Gérard A. Maugin and published by Springer. This book was released on 2016-09-24 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dictionary offers clear and reliable explanations of over 100 keywords covering the entire field of non-classical continuum mechanics and generalized mechanics, including the theory of elasticity, heat conduction, thermodynamic and electromagnetic continua, as well as applied mathematics. Every entry includes the historical background and the underlying theory, basic equations and typical applications. The reference list for each entry provides a link to the original articles and the most important in-depth theoretical works. Last but not least, ever y entry is followed by a cross-reference to other related subject entries in the dictionary.

Topological Solitons

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Publisher : Cambridge University Press
ISBN 13 : 1139454692
Total Pages : 507 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Topological Solitons by : Nicholas Manton

Download or read book Topological Solitons written by Nicholas Manton and published by Cambridge University Press. This book was released on 2004-06-10 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.

Earthquake Source Asymmetry, Structural Media and Rotation Effects

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Publisher : Springer Science & Business Media
ISBN 13 : 3540313370
Total Pages : 582 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Earthquake Source Asymmetry, Structural Media and Rotation Effects by : Roman Teisseyre

Download or read book Earthquake Source Asymmetry, Structural Media and Rotation Effects written by Roman Teisseyre and published by Springer Science & Business Media. This book was released on 2006-07-01 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: This breakthrough book is the first to examine the rotational effects in earthquakes, a revolutionary concept in seismology. Existing models do no yet explain the significant rotational and twisting motions that occur during an earthquake and cause the failure of structures. The rotation and twist effects are investigated and described, and their consequences for designing tall buildings and other important structures are presented. This book will change the way the world views earthquakes.

Creep Problems in Structural Members

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Publisher :
ISBN 13 :
Total Pages : 854 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Creep Problems in Structural Members by : I︠U︡riĭ Nikolaevich Rabotnov

Download or read book Creep Problems in Structural Members written by I︠U︡riĭ Nikolaevich Rabotnov and published by . This book was released on 1969 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Defects in Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 1475707614
Total Pages : 473 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Defects in Solids by : A.V. Chadwick

Download or read book Defects in Solids written by A.V. Chadwick and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamental Aspects of Dislocation Theory

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Publisher :
ISBN 13 :
Total Pages : 752 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Fundamental Aspects of Dislocation Theory by : John Arthur Simmons

Download or read book Fundamental Aspects of Dislocation Theory written by John Arthur Simmons and published by . This book was released on 1970 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Physics, vol. 4/2015

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Publisher : Infinite Study
ISBN 13 :
Total Pages : 61 pages
Book Rating : 4./5 ( download)

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Book Synopsis Progress in Physics, vol. 4/2015 by : Dmitri Rabounski

Download or read book Progress in Physics, vol. 4/2015 written by Dmitri Rabounski and published by Infinite Study. This book was released on with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics

Condensed Matter Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Progress in Gauge Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475702809
Total Pages : 606 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Progress in Gauge Field Theory by : G. 't Hooft

Download or read book Progress in Gauge Field Theory written by G. 't Hooft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of gauge theory for elementary particle physics is by now firmly established. Recent experiments have yielded convincing evidence for the existence of intermediate bosons, the carriers of the electroweak gauge force, as well as for the presence of gluons, the carriers of the strong gauge force, in hadronic interactions. For the gauge theory of strong interactions, however, a number of important theoretical problems remain to be definitely resolved. They include the quark confinement problem, the quantitative study of the hadron mass spectrum as well as the role of topology in quantum gauge field theory. These problems require for their solution the development and application of non-perturbative methods in quantum gauge field theory. These problems, and their non-perturbative analysis, formed the central interest of the 1983 Cargese summer institute on "Progress in Gauge Field Theory. " In this sense it was a natural sequel to the 1919 Cargese summer institute on "Recent Developments in Gauge Theories. " Lattice gauge theory provides a systematic framework for the investigation of non-perturbative quantum effects. Accordingly, a large number of lectures dealt with lattice gauge theory. Following a systematic introduction to the subject, the renormalization group method was developed both as a rigorous tool for fundamental questions, and in the block-spin formulation, the computations by Monte Carlo programs. A detailed analysis was presented of the problems encountered in computer simulations. Results obtained by this method on the mass spectrum were reviewed.

Defect and Material Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 1402069294
Total Pages : 287 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Defect and Material Mechanics by : C. Dascalu

Download or read book Defect and Material Mechanics written by C. Dascalu and published by Springer Science & Business Media. This book was released on 2008-03-26 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.