Mathematical Modeling of Dislocation Behavior and Its Application to Crystal Plasticity Analysis

There are several textbooks and monographs on dislocations and the mechanical and physical properties of metals, but most of them discuss the topics in terms of more or less one-dimensional or scalar quantities. However, actual metallic materials are often three-dimensionally heterogeneous in their microstructure, and this heterogeneity has a significant impact on the macroscopic mechanical properties. With advances in computational technology, the complexity introduced by spatial heterogeneity in the microstructure of metals can now be explored using numerical methods. This book explains in simple terms the idea of extending the continuum mechanics theory of plastic deformation of crystals to three-dimensional analysis and applying it to the analysis of more realistic models of metal microstructures. This book links solid mechanics and materials science by providing clear physical pictures and mathematical models of plastic slip deformation and the accumulation of dislocations and atomic vacancies in metallic materials. Both monotonic and cyclic loading cases are considered.

Approaches theory of plastic slip deformation through simple intuitive physical pictures without too many math-oriented terms This book connects solid mechanics and materials sciences with mathematical models of plastic slip deformation Accumulation of dislocations and atomic vacancies in metallic materials with monotonic and cyclic loading cases

Autorentext

Tetsuya Ohashi was born in Sapporo, Japan in 1951. He received ME and Ph.D. degrees in mechanical engineering from Hokkaido University in 1976 and 1981, respectively. He joined Hitachi Ltd in 1981 and has been engaged in research on the modeling and numerical simulation of deformations and lattice defect accumulation in metallic and semiconductor materials. In 1997, he joined National Research Institute for Metals and in 1999 he moved to Kitami Institute of Technology. In 2019 he joined National Institute for Materials Science as an advisor for a national project of "element strategy initiative for structural materials". Throughout his carrier, he has been engaged in research on the slip deformation in metal microstructures and dislocations' behavior in them.

Inhalt
Introduction.- Plastic shear strain associated with dislocation movement.- Dislocation accumulation due to plastic slip.- Statistically stored dislocations, mean free path of dislocations and recovery due to thermal effects.- Model of critical shear stress.- Work done by slip deformation and equivalent plastic strain.- Generation of atomic vacancies by dislocation pair annihilation.- Scheme of crystal plasticity finite element analysis.- Some numerical examples.- Acknowledgements.- References.