Practical multiscaling / Jacob Fish.
Fish, J. (Jacob)
2014
TJ153 .F455 2014
Available Online

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Title Practical multiscaling / Jacob Fish.
Author Fish, J. (Jacob)
ISBN 9781118534847 (electronic bk.)
9781118410684 (hardback)
Imprint Chichester, West Sussex, U.K. : John Wiley & Sons Inc., 2014.
Language English
Description 1 online resource (xiii, 398 pages ) : illustrations (some col.).
Call Number TJ153 .F455 2014
Dewey Decimal Classification 620.001/51
Summary "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"-- Provided by publisher.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
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Chapter 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.

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