The book integrates theory, numerical methods, and practical applications seamlessly. MATLAB and MathCad programs are provided for readers to master the theory, understand the approach, and to further develop and apply the methods to geological problems. Multiscale and multi-physics investigations of Earth and planetary processes have been an active trend of research in Earth Sciences, thanks to the development of scientific computation and computer software and hardware. Based on the author's research and teaching over the past 15 years, the book stands alone as the first comprehensive text in unifying fundamental continuum micromechanics theory, geometric/kinematic analysis, and applications. The book should appeal to a broad audience of students and researchers, particularly those in the fields of structural geology, tectonics, (natural and experimental) rock deformation, mineral physics and rheology, and numerical modeling of multiscale and coupling processes.
Chapter
1. Background, Mathematic Preliminaries and Notations.
Chapter
2. Orientation of Fabric Elements.
Chapter
3. Stress, Strain, and
Elasticity.
Chapter
4. Deformation: Strain and Rotation.
Chapter
5. Flow:
Strain Rate and Vorticity.
Chapter
6. Flow and Finite Deformation in Tabular
Zones.
Chapter
7. Constitutive Equations.
Chapter
8. Rotation of Rigid
Objects in Homogeneous Flows.
Chapter
9. Further Analysis of Spheroids in
Simple Shearing Flows.
Chapter
10. Eshelbys Inclusion and Inhomogeneity
Problem.
Chapter
11. Viscous Inclusions in Anisotropic Materials.
Chapter
12. Two-Dimensional Inclusion Problems.
Chapter
13. Effective Stiffnesses of
Heterogeneous Materials.
Chapter
14. Application Example 1: An Elastic
Prolate Object in a Viscous Matrix.
Chapter
15. Application Example 2: A
Penny-Shaped Viscous Inclusion in an Elastic Matrix.
Chapter
16. Application
Example 3: Deformation around a Heterogeneity: Flanking Structures.
Chapter
17. Generalization of Eshelby's Formalism and a Self-Consistent Model for
Multiscale Rock Deformation.
Dazhi Jiang is a Professor in the Department of Earth Sciences at Western University, Canada. He has been teaching and conducting research in structural geology and tectonics for over 20 years. His research interests include theoretical, field, and numerical modeling studies of multiscale structures in deformed rocks. His research approach has evolved from an emphasis on the kinematic analysis of deformation to a comprehensive mechanical approach based on continuum micromechanics.
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