001414302 000__ 05099nam\a2200481\a\4500 001414302 001__ 1414302 001414302 003__ MiAaPQ 001414302 005__ 20221109003342.0 001414302 006__ m\\\\\o\\d\\\\\\\\ 001414302 007__ cr\cn\nnnunnun 001414302 008__ 130726s2014\\\\enkad\\\ob\\\\001\0\eng\d 001414302 020__ $$a9781118534847 (electronic bk.) 001414302 020__ $$z9781118410684 (hardback) 001414302 035__ $$a(MiAaPQ)EBC7103779 001414302 035__ $$a(Au-PeEL)EBL7103779 001414302 040__ $$aMiAaPQ$$beng$$erda$$epn$$cMiAaPQ$$dMiAaPQ 001414302 050_4 $$aTJ153$$b.F455 2014 001414302 0820_ $$a620.001/51$$223 001414302 1001_ $$aFish, J.$$q(Jacob) 001414302 24510 $$aPractical multiscaling /$$cJacob Fish. 001414302 260__ $$aChichester, West Sussex, U.K. :$$bJohn Wiley & Sons Inc.,$$c2014. 001414302 300__ $$a1 online resource (xiii, 398 pages ) :$$billustrations (some col.). 001414302 336__ $$atext$$2rdacontent 001414302 337__ $$acomputer$$2rdamedia 001414302 338__ $$aonline resource$$2rdacarrier 001414302 504__ $$aIncludes bibliographical references and index. 001414302 5050_ $$aChapter 1. Introduction to multiscale methods -- The rationale for multiscale computations -- The hype and the reality -- Examples and qualification of multiscale methods -- Nomenclature and definitions -- Notation -- Chapter 2. Upscaling/Downscaling of Continua -- Homogenizaton of linear heterogeneous media -- Upscaling based on enhanced kinematics -- Homogenization of nonlinear heterogeneous media -- Higher order homogenization -- Multiple-scale homogenization -- Going beyond upscaling : homogenization-based multigrid -- Chapter 3. Upscaling/Downscaling of Atomistic/Continuum Media -- Governing equations -- Generalized mathematical homogenization (GMH) -- Finite element implementation and numerical verification -- Statistical ensemble -- Verification -- Going beyond upscaling -- Chapter 4. Reduced Order Homogenization -- Reduced order homogenization for two-scale problems -- Lower order approximation of eigenstrains -- Extension to nonlocal heterogeneous media -- Extension to dispersive heterogeneous media -- Extension to multiple spatial scales -- Extension to large deformations -- Extension to multiple temporal scales with application to fatigue -- Extension to multiphysics problems -- Chapter 5. Scale-separation-free Upscaling/Downscaling of Continua -- Computational continua (C2) -- Reduced order computational continua (RC2) -- Nonlocal quadrature in multidimensions -- Model Verification -- Chapter 6. Multiscale Design Software -- Microanalysis with MDS-Lite -- Macroanalysis with MDS-Lite. 001414302 506__ $$aAccess limited to authorized users. 001414302 5202_ $$a"Practical Multiscaling covers fundamental modelling techniques aimed at bridging diverse temporal and spatial scales ranging from the atomic level to a full-scale product level. It focuses on practical multiscale methods that account for fine-scale (material) details but do not require their precise resolution. The text material evolved from over 20 years of teaching experience at Rensselaer and Columbia University, as well as from practical experience gained in the application of multiscale software. This book comprehensively covers theory and implementation, providing a detailed exposition of the state-of-the-art multiscale theories and their insertion into conventional (single-scale) finite element code architecture. The robustness and design aspects of multiscale methods are also emphasised, which is accomplished via four building blocks: upscaling of information, systematic reduction of information, characterization of information utilizing experimental data, and material optimization. To ensure the reader gains hands-on experience, a companion website hosting a lite version of the multiscale design software (MDS-Lite) is available. Key features: Combines fundamental theory and practical methods of multiscale modelling Covers the state-of-the-art multiscale theories and examines their practical usability in design; covers applications of multiscale methods; accompanied by a continuously updated website hosting the multiscale design software; illustrated with colour images. Practical Multiscaling is an ideal textbook for graduate students studying multiscale science and engineering. It is also a must-have reference for government laboratories, researchers and practitioners in civil, aerospace, pharmaceutical, electronics, and automotive industries, and commercial software vendors"--$$cProvided by publisher. 001414302 650_0 $$aContinuum mechanics$$xComputer simulation. 001414302 650_0 $$aContinuum mechanics$$xMathematical models. 001414302 650_0 $$aMaterials$$xComputer simulation. 001414302 650_0 $$aMaterials$$xMathematical models. 001414302 650_0 $$aMechanical engineering$$xComputer simulation. 001414302 650_0 $$aMechanical engineering$$xMathematical models. 001414302 650_0 $$aMultiscale modeling. 001414302 650_0 $$aScaling laws (Statistical physics) 001414302 655_0 $$aElectronic books 001414302 852__ $$bebk 001414302 85640 $$3ProQuest Ebook Central Academic Complete $$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=7103779$$zOnline Access 001414302 909CO $$ooai:library.usi.edu:1414302$$pGLOBAL_SET 001414302 980__ $$aBIB 001414302 980__ $$aEBOOK 001414302 982__ $$aEbook 001414302 983__ $$aOnline