03642nam a22005295i 4500 978-3-031-37893-5 DE-He213 20251030110810.0 cr nn 008mamaa 230731s2024 sz | s |||| 0|eng d 9783031378935 978-3-031-37893-5 10.1007/978-3-031-37893-5 doi TJ1-1570 TGB bicssc TEC009070 bisacsh TGB thema Ohashi, Tetsuya. author. aut http://id.loc.gov/vocabulary/relators/aut 65540 Mathematical Modeling of Dislocation Behavior and Its Application to Crystal Plasticity Analysis [electronic resource] / by Tetsuya Ohashi. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. X, 86 p. 57 illus., 31 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Mechanical Engineering, 2573-3176 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. 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. Mechanical engineering. 58323 Materials. 65541 Engineering mathematics. 64145 Engineering Data processing. Mechanical Engineering. 58323 Materials Engineering. 65542 Mathematical and Computational Engineering Applications. 65543 SpringerLink (Online service) 65544 Springer Nature eBook Printed edition: 9783031378928 Printed edition: 9783031378942 Printed edition: 9783031378959 Synthesis Lectures on Mechanical Engineering, 2573-3176 65545 https://doi.org/10.1007/978-3-031-37893-5 ZDB-2-SXSC 56225 56225