"Version: 20240701"--Title page verso.

Includes bibliographical references.

1. Introduction -- 1.1. Slip system and dislocations -- 1.2. Multiscale modeling of crystal plasticity and the meso-scale gap -- 1.3. CDD and why this book?

2. What are dislocation densities? -- 2.1. Defects and their densities -- 2.2. Fine grained dislocation density -- 2.3. Coarse grained dislocation density--extensive dislocation microstructures -- 2.4. The three distinctive length scales for dislocation plasticity

3. Kinematics of intensive line density: evolution laws and simulation codes -- 3.1. Maxwell's kinematics law for line density -- 3.2. Other forms of Maxwell's kinematics law -- 3.3. Finite-difference numerical scheme -- 3.4. Simple MATLAB codes for line-density kinematics

4. Dynamics of intensive line density -- 4.1. Dynamics closure by velocity law -- 4.2. Mura's formula for long-range elastic interaction -- 4.3. Interaction within dislocation core -- 4.4. Simulation codes for internal interaction stress tint -- 4.5. Simulation of Orowan looping -- 4.6. Simulation of Frank-Read source

5. All-dislocation density (ADD) for extensive microstructures--kinematics and dynamics closure -- 5.1. Extensive microstructures and ADD revisited -- 5.2. ADD and kinematics law of individual dislocations -- 5.3. Kinematics law of ADD for extensive microstructures comprising many dislocations -- 5.4. Alternative proofs of equation (5.12) -- 5.5. Multiple slip and dynamics closure -- 5.6. Elastoplastic framework for dynamics closure

6. Numerical scheme for ADD simulation -- 6.1. Realistic ADD for connected-line microstructures -- 6.2. Codes for ADD kinematics simulation -- 6.3. Codes for dynamics simulation for ADD

7. Concluding remarks -- 7.1. Earlier CDD models revisited -- 7.2. The 'Beauty and the Beast' of CDD based on ADD -- 7.3. What requires future work? -- Appendix A. Basic mathematics for understanding this book.

Full-text restricted to subscribers or individual document purchasers.

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.

Starting PhD researchers working on crystal-plasticity simulation.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.

Alfonso Ngan is Kingboard Professor in Materials Engineering and Chair in Materials Science and Engineering at the University of Hong Kong (HKU). He obtained his PhD from the University of Birmingham, UK in 1992, and carried out postdoctoral research work at the University of Oxford, before joining HKU in 1993. His research interests include nanomechanics, smart actuating materials, and microstructural basis of material properties. He is an editorial board member for the IOP journal Modelling and Simulation in Materials Science and Engineering. Alireza Kalaei is currently pursuing PhD studies at the University of Hong Kong. Prior to this, he completed his undergraduate studies at the Sharif University of Technology in 2020 and finished his MPhil studies at the University of Hong Kong in 2022. His research interests include mechanical properties of materials, microstructural basis of strength, and computational materials science. On the topic of continuous dislocation dynamics, he has made important contributions to the development of numerical schemes and simulation codes.

Title from PDF title page (viewed on August 1, 2024).