03487nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001300172072001600185072002300201072001500224100008500239245014600324250001800470264007500488300006200563336002600625337002600651338003600677347002400713490006100737505051300798520109701311650003502408650002202443650003602465650003402501650003502535650003402570650006802604710004102672773002602713776003602739776003602775776003602811830006802847856004602915912001502961999001702976978-3-031-37893-5DE-He21320251030110810.0cr nn 008mamaa230731s2024    sz |    s    |||| 0|eng d  a97830313789359978-3-031-37893-57 a10.1007/978-3-031-37893-52doi 4aTJ1-1570 7aTGB2bicssc 7aTEC0090702bisacsh 7aTGB2thema1 aOhashi, Tetsuya.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut96554010aMathematical Modeling of Dislocation Behavior and Its Application to Crystal Plasticity Analysish[electronic resource] /cby Tetsuya Ohashi.  a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aX, 86 p. 57 illus., 31 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aSynthesis Lectures on Mechanical Engineering,x2573-31760 aIntroduction -- 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.  aThere 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. 0aMechanical engineering.958323 0aMaterials.965541 0aEngineering mathematics.964145 0aEngineeringxData processing.14aMechanical Engineering.95832324aMaterials Engineering.96554224aMathematical and Computational Engineering Applications.9655432 aSpringerLink (Online service)9655440 tSpringer Nature eBook08iPrinted edition:z978303137892808iPrinted edition:z978303137894208iPrinted edition:z9783031378959 0aSynthesis Lectures on Mechanical Engineering,x2573-317696554540uhttps://doi.org/10.1007/978-3-031-37893-5  aZDB-2-SXSC  c56225d56225