Practical multiscaling
"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 p...
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Médium: | Elektronický zdroj E-kniha |
Jazyk: | angličtina |
Vydáno: |
Chichester, West Sussex, U.K. :
John Wiley & Sons Inc.,
2014.
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Témata: | |
On-line přístup: | An electronic book accessible through the World Wide Web; click to view |
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Obsah:
- 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.