Field Theory of Multiscale Plasticity

Tadashi Hasebe

doi:10.1017/9781108874069

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.

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Contents

Field Theory of Multiscale Plasticity
pp i-ii
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Field Theory of Multiscale Plasticity - Title page
pp iii-iii
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Copyright page
pp iv-iv
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Contents
pp v-xiv
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Preface
pp xv-xvii
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Acknowledgments
pp xviii-xx
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Part I - Fundamentals
pp 1-264
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1 - Dislocation Theory and Metallurgy
pp 3-85
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2 - Dislocation Dynamics and Constitutive Framework
pp 86-138
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3 - Dislocation Substructures
pp 139-231
Universality of Cell Structures
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4 - Single Crystals versus Polycrystals
pp 232-264
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Part II - Theoretical Backgrounds
pp 265-436
Description and Evolution
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5 - Overview of Field Theory of Multiscale Plasticity
pp 267-303
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6 - Differential Geometrical Field Theory of Dislocations and Defects
pp 304-370
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7 - Gauge Field Theory of Dislocations and Defects
pp 371-415
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8 - Method of Quantum Field Theory
pp 416-436
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Part III - Applications I
pp 437-678
Evolution of Inhomogeneity in Three Scales
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9 - Identification of Important Scales
pp 439-482
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10 - Scale A: Modeling and Simulations for Dislocation Substructures
pp 483-544
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11 - Scale B
pp 545-603
Intragranular Inhomogeneity
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12 - Scale C
pp 604-678
Modeling and Simulations for Polycrystalline Aggregate
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Part IV - Applications II
pp 679-808
Stability and Cooperation
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13 - Cooperation of Multiple Inhomogeneous Fields
pp 681-747
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14 - Outlooks
pp 748-773
Some Perspectives on New Multiscale Solid Mechanics
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15 - Flow-Evolutionary Law as a Working Hypothesis
pp 774-808
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References
pp 809-832
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Author Index
pp 833-834
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Subject Index
pp 835-839
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Field Theory of Multiscale Plasticity

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Contents

Field Theory of Multiscale Plasticity
pp i-ii

Field Theory of Multiscale Plasticity - Title page
pp iii-iii

Copyright page
pp iv-iv

Contents
pp v-xiv

Preface
pp xv-xvii

Acknowledgments
pp xviii-xx

Part I - Fundamentals
pp 1-264

1 - Dislocation Theory and Metallurgy
pp 3-85

2 - Dislocation Dynamics and Constitutive Framework
pp 86-138

3 - Dislocation Substructures
pp 139-231

4 - Single Crystals versus Polycrystals
pp 232-264

Part II - Theoretical Backgrounds
pp 265-436

5 - Overview of Field Theory of Multiscale Plasticity
pp 267-303

6 - Differential Geometrical Field Theory of Dislocations and Defects
pp 304-370

7 - Gauge Field Theory of Dislocations and Defects
pp 371-415

8 - Method of Quantum Field Theory
pp 416-436

Part III - Applications I
pp 437-678

9 - Identification of Important Scales
pp 439-482

10 - Scale A: Modeling and Simulations for Dislocation Substructures
pp 483-544

11 - Scale B
pp 545-603

12 - Scale C
pp 604-678

Part IV - Applications II
pp 679-808

13 - Cooperation of Multiple Inhomogeneous Fields
pp 681-747

14 - Outlooks
pp 748-773

15 - Flow-Evolutionary Law as a Working Hypothesis
pp 774-808

References
pp 809-832

Author Index
pp 833-834

Subject Index
pp 835-839

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Field Theory of Multiscale Plasticity

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