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This book presents an easy-to-read introduction to Continuous Dislocation Dynamics (CDD). It aims at introducing CDD as an exact approach to crystal plasticity. The starting point is Maxwell’s equation for moving lines, which is generalized to densities of parallel dislocation quantities, and then to an “all-dislocation” density (ADD) defined on both the spatial and dislocation-character domains. The ADD is a representation of dislocation density of a coarse-grained resolution suitable for handling large systems, and yet an exact kinematics law is available.
Written in a style which aims to facilitate understanding of the difficult mathematical concepts of dislocation dynamics, the book provides simple illustrations and key computer codes. Suitable readers would be senior undergraduates or starting graduate students with a basic understanding of dislocations and engineering mathematics.
Key Features:
- Explores the first dedicated treatment to CDD, an important meso-scale modelling method for dislocation plasticity
- Focuses on exact theories of CDD
- Presents an easy-to-read introduction to the subject at a level that is suitable for senior undergraduate or starting PhD students
- Includes worked examples, simulation codes and simulation videos
Ch 1: Introduction: Why need CDD
Ch 2: What are dislocation densities?
Ch 3: Kinematics of intensive line density: evolution laws and simulation codes
Ch 4: Dynamics of intensive line density
Ch 5: “All-dislocation density” (ADD) for extensive microstructures - kinematics and dynamics closure
Ch 6: Numerical scheme for extensive microstructure simulation
Ch 7: Conclusion and Perspectives