Mathematical modeling of dislocation behavior and its application to crystal plasticity analysis
著者
書誌事項
Mathematical modeling of dislocation behavior and its application to crystal plasticity analysis
（Synthesis lectures on mechanical engineering）（Synthesis collection of technology）
Springer, c2024
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
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