LEADER 05795nam 2200757 a 450 001 9910452396303321 005 20200520144314.0 010 $a1-118-53486-7 010 $a1-118-53485-9 010 $a1-118-53484-0 035 $a(CKB)2550000001114516 035 $a(EBL)1367688 035 $a(OCoLC)862821341 035 $a(SSID)ssj0000981909 035 $a(PQKBManifestationID)11590924 035 $a(PQKBTitleCode)TC0000981909 035 $a(PQKBWorkID)10982687 035 $a(PQKB)10404978 035 $a(MiAaPQ)EBC1367688 035 $a(DLC) 2013030942 035 $a(Au-PeEL)EBL1367688 035 $a(CaPaEBR)ebr10753375 035 $a(CaONFJC)MIL514368 035 $a(EXLCZ)992550000001114516 100 $a20130726d2014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aPractical multiscaling$b[electronic resource] /$fJacob Fish 210 $aChichester, West Sussex, U.K. $cJohn Wiley & Sons Inc.$d2014 215 $a1 online resource (416 p.) 300 $aDescription based upon print version of record. 311 $a1-118-41068-8 311 $a1-299-83117-6 320 $aIncludes bibliographical references and index. 327 $aChapter 1. Introduction to multiscale methods -- The rationale for multiscale computations -- The hype and the reality -- Examples and qualification of multiscale methods -- Nomenclature and definitions -- Notation -- Chapter 2. Upscaling/Downscaling of Continua -- Homogenizaton of linear heterogeneous media -- Upscaling based on enhanced kinematics -- Homogenization of nonlinear heterogeneous media -- Higher order homogenization -- Multiple-scale homogenization -- Going beyond upscaling : homogenization-based multigrid -- Chapter 3. Upscaling/Downscaling of Atomistic/Continuum Media -- Governing equations -- Generalized mathematical homogenization (GMH) -- Finite element implementation and numerical verification -- Statistical ensemble -- Verification -- Going beyond upscaling -- Chapter 4. Reduced Order Homogenization -- Reduced order homogenization for two-scale problems -- Lower order approximation of eigenstrains -- Extension to nonlocal heterogeneous media -- Extension to dispersive heterogeneous media -- Extension to multiple spatial scales -- Extension to large deformations -- Extension to multiple temporal scales with application to fatigue -- Extension to multiphysics problems -- Chapter 5. Scale-separation-free Upscaling/Downscaling of Continua -- Computational continua (C2) -- Reduced order computational continua (RC2) -- Nonlocal quadrature in multidimensions -- Model Verification -- Chapter 6. Multiscale Design Software -- Microanalysis with MDS-Lite -- Macroanalysis with MDS-Lite. 330 2 $a"Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design; covers applications of multiscale methods; accompanied by a continuously updated website hosting the multiscale design software; illustrated with colour images. Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors"--$cProvided by publisher. 606 $aMechanical engineering$xMathematical models 606 $aContinuum mechanics$xMathematical models 606 $aMaterials$xMathematical models 606 $aMultiscale modeling 606 $aScaling laws (Statistical physics) 606 $aMechanical engineering$xComputer simulation 606 $aContinuum mechanics$xComputer simulation 606 $aMaterials$xComputer simulation 608 $aElectronic books. 615 0$aMechanical engineering$xMathematical models. 615 0$aContinuum mechanics$xMathematical models. 615 0$aMaterials$xMathematical models. 615 0$aMultiscale modeling. 615 0$aScaling laws (Statistical physics) 615 0$aMechanical engineering$xComputer simulation. 615 0$aContinuum mechanics$xComputer simulation. 615 0$aMaterials$xComputer simulation. 676 $a620.001/51 686 $aSCI041000$2bisacsh 700 $aFish$b J$g(Jacob)$0882821 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452396303321 996 $aPractical multiscaling$92270030 997 $aUNINA