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  • Format: ePub

This book presents an easy-to-read introduction to Continuous Dislocation Dynamics (CDD). By treating dislocations which are carriers of crystal deformation as continuously spread defects represented by a density, CDD aims at filling the mesoscopic gap in multi-scale materials modelling. CDD is more coarse-grained than discrete dislocation dynamics (DDD) which models dislocations as discrete lines represented by nodes, and is less coarse-grained than slip-system based FEM crystal plasticity (CPFEM) which models plastic deformation as resulting from slip of crystal planes without important…mehr

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Produktbeschreibung
This book presents an easy-to-read introduction to Continuous Dislocation Dynamics (CDD). By treating dislocations which are carriers of crystal deformation as continuously spread defects represented by a density, CDD aims at filling the mesoscopic gap in multi-scale materials modelling. CDD is more coarse-grained than discrete dislocation dynamics (DDD) which models dislocations as discrete lines represented by nodes, and is less coarse-grained than slip-system based FEM crystal plasticity (CPFEM) which models plastic deformation as resulting from slip of crystal planes without important dislocation physics incorporated. Therefore, compared with DDD, CDD can treat much bigger problems involving real quantities of dislocations in engineering applications, yet compared with CPFEM, key dislocation physics are preserved.

This book 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 basic understanding of dislocations and engineering mathematics.


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Autorenporträt
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.