Gauge Theory and Defects in Solids
eBook - PDF

Gauge Theory and Defects in Solids

  1. 438 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Gauge Theory and Defects in Solids

Book details
Table of contents
Citations

About This Book

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.

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Yes, you can access Gauge Theory and Defects in Solids by D.G.B. Edelen,D.C. Lagoudas in PDF and/or ePUB format, as well as other popular books in Physical Sciences & Condensed Matter. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2012
ISBN
9780444600103
Topic
Physical Sciences
Subtopic
Condensed Matter

Table of contents

  1. Front Cover
  2. Gauge Theory and Defects in Solids
  3. Copyright Page
  4. Table of Contents
  5. Introduction to the Series
  6. Chapter 1. Foundations
  7. Chapter 2. Gauge Theory for Matrix Lie Groups
  8. Chapter 3. Kinematics of Defects
  9. Chapter 4. Inhomogeneous Action of the Fundamental Group
  10. Chapter 5. Kinetics of Defects in Elastic Dielectrics
  11. Chapter 6. Gauge Conditions, Observables, and Internal Space
  12. Chapter 7. Boundary Conditions, Null Lagrangians, and Effective Stresses
  13. Chapter 8. Lagrangians, Material Symmetries, and Field Equations
  14. Chapter 9. Scales, Approximations, and Solutions
  15. References
  16. Index