LEADER 05676nam 2200649 a 450 001 9910822307303321 005 20200520144314.0 010 0 $a9781118534847 010 0 $a1118534840 035 $a(MiAaPQ)EBC7103779 035 $a(CKB)24989774000041 035 $a(MiAaPQ)EBC1367688 035 $a(Au-PeEL)EBL1367688 035 $a(CaPaEBR)ebr10753375 035 $a(CaONFJC)MIL514368 035 $a(OCoLC)862821341 035 $a(JP-MeL)3000111555 035 $a(Au-PeEL)EBL7103779 035 $a(OCoLC)1347027228 035 $a(EXLCZ)9924989774000041 100 $a20130726d2014 uy 0 101 0 $aeng 135 $aur||||||||||| 200 10$aPractical multiscaling$b[electronic resource] /$fJacob Fish 210 $aChichester, West Sussex, U.K. $cJohn Wiley & Sons Inc.$d2014 215 $axiii, 398 p. $cill. (some col.) 300 $aIncludes bibliographical references and index 311 08$aPrint version: Fish, J. (Jacob) Practical multiscaling Chichester, West Sussex, United Kingdom : John Wiley & Sons Inc., 2013 9781118410684 (DLC) 2013027948 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 $aContinuum mechanics$xComputer simulation 606 $aContinuum mechanics$xMathematical models 606 $aMaterials$xComputer simulation 606 $aMaterials$xMathematical models 606 $aMechanical engineering$xComputer simulation 606 $aMechanical engineering$xMathematical models 606 $aMultiscale modeling 606 $aScaling laws (Statistical physics) 615 0$aContinuum mechanics$xComputer simulation. 615 0$aContinuum mechanics$xMathematical models. 615 0$aMaterials$xComputer simulation. 615 0$aMaterials$xMathematical models. 615 0$aMechanical engineering$xComputer simulation. 615 0$aMechanical engineering$xMathematical models. 615 0$aMultiscale modeling. 615 0$aScaling laws (Statistical physics) 676 $a620.001/51 686 $a501.1$2njb/09 686 $a620.001/51$2njb/09 700 $aFish$b J$g(Jacob)$0882821 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910822307303321 996 $aPractical multiscaling$93976000 997 $aUNINA