Practical multiscaling / Jacob Fish.

Format:

Book

Author/Creator:

Fish, J. (Jacob)

Language:

English

Subjects (All):

Continuum mechanics--Computer simulation.

Continuum mechanics.

Continuum mechanics--Mathematical models.

Materials--Computer simulation.

Materials.

Materials--Mathematical models.

Mechanical engineering--Computer simulation.

Mechanical engineering.

Mechanical engineering--Mathematical models.

Multiscale modeling.

Scaling laws (Statistical physics).

Physical Description:

xiii, 398 p. : ill. (some col.)

Place of Publication:

Chichester, West Sussex, U.K. : John Wiley & Sons Inc., 2014.

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

Description based on print version record and CIP data provided by publisher.

ISBN:

1-118-53486-7

1-118-53485-9

1-118-53484-0

OCLC:

862821341