Field Theory of Multiscale Plasticity

Covers foundations of dislocations and metallurgy, with up-to-date discussion of multiscale modeling, including the field theory of multiscale plasticity.

Tadashi Hasebe (Author)

9781108836609, Cambridge University Press

Hardback, published 4 January 2024

860 pages, 628 b/w illus. 4 tables
26 x 18.4 x 5 cm, 1.73 kg

This unique book provides a concise and systematic treatment of foundational material on dislocations and metallurgy and an up-to-date discussion of multiscale modeling of materials, which ultimately leads to the field theory of multiscale plasticity (FTMP). Unlike conventional continuum models, this approach addresses the evolving inhomogeneities induced by deformation, typically as dislocation substructures like dislocation cells, as well as their interplay at more than one scale. This is an impressively visual text with many and varied examples and viewgraphs. In particular, the book presents a feasible constitutive model applicable to crystal plasticity-based finite element method (FEM) simulations. It will be an invaluable resource, accessible to undergraduate and graduate students as well as researchers in mechanical engineering, solid mechanics, applied physics, mathematics, materials science, and technology.

Part I. Fundamentals: 1. Dislocation theory and metallurgy
2. Dislocation dynamics and constitutive framework
3. Dislocation substructures: universality of cell structures
4. Single crystals vs. polycrystals
Part II. Theoretical Backgrounds: Description and Evolution: 5. Overview of field theory of multiscale plasticity
6. Differential geometrical field theory of dislocations and defects
7. Gauge field theory of dislocations and defects
8. Method of quantum field theory
Part III. Applications I: Evolution of Inhomogeneity in Three Scales: 9. Identification of important scales
10. Scale A: modeling and simulations for dislocation substructures
11. Scale B: intra-granular inhomogeneity
12. Scale C: modeling and simulation for polycrystalline aggregate
Part IV. Applications II: Stability and Cooperation: 13. Cooperation of multiple inhomogeneous fields
14. Outlooks: some perspectives on new multiscale solid mechanics
15. Flow-evolutionary law as a working hypothesis
References
Author index
Subject index.

Subject Areas: Mechanics of solids [TGMD], Metals technology / metallurgy [TDM], Mathematical physics [PHU], Applied mathematics [PBW]