
Kinetic View of Dynamic Plasticity and Fracture of Polycrystalline Solids
- 1st Edition - April 1, 2026
- Authors: Elijah Borodin, Andrey Jivkov, Alexander Mayer
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 3 3 7 2 4 - 6
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 3 3 7 2 5 - 3
Kinetic View of Dynamic Plasticity and Fracture of Polycrystalline Solids analyzes a variety of kinetic models that can be immediately implemented into simulations of a wide-r… Read more
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Kinetic View of Dynamic Plasticity and Fracture of Polycrystalline Solids analyzes a variety of kinetic models that can be immediately implemented into simulations of a wide-range of mechanical processes incorporating dislocation plasticity, deformation twinning, phase transitions, dynamic recrystallization, pore growth, and multiple cracking. The book is divided into three parts, the first providing a state-of-the-art review of kinetic structural models of plasticity and fracture, the second outlining novel fully discrete formulations of the kinetic models with the variables defined on the elements of polytopal cell complexes instead of the conventional continuous manifolds, and the third discussing the implications of formulations for mechanical criteria of plasticity and fracture, the corresponding rheological models for high-strain-rate material deformation, and finite element method-based simulation results. The book also provides guidance on and examples of modeling of deformation processes of nano-sized samples with naturally high strain rates as well as how to use data acquired in microstructural characterization (such as SEM or X-ray).
- Analyzes a large number of kinetic models for simulation of metal forming and high-strain-rate plastic deformation of metals that can be introduced into finite element modeling packages as additional state variables
- Outlines structural physical approaches to plasticity and fracture of polycrystalline metals
- Includes applications of the kinetic models and insight on how to use data acquired in microstructural characterization
Researchers, advanced students, and professionals in materials science and engineering, particularly those focused on physics and mechanics of plasticity and fracture of metals, computational materials science, materials characterization, metal forming, severe plastic deformation (SPD), bulk nanocrystalline materials, high strain rates, and the physics of defects in crystalline solids
Part I: Continuous models
1. Defects in Continuous Media
2. Dislocation Kinetics
3. Kinetics of Deformation Twins
4.. Transformation-Induced Plasticity
5. Grain Rotations and Dynamic Recrystallisation (CDRX & DDRX)
6. Pore Growth and Multiple Cracking
Part II: Discrete models
7. Defects in Discrete Manifolds
8. Kinetics of Micro-slips
9. Grain Boundary Fracture Networks
10. Continuous and Discontinuous Dynamic Recrystallisation
11. Crystallographic Grain Rotations
12. Pore Growth
Part III: Implications for Computational Mechanics
13. Relation between Kinetic and Dynamic Variables
14. Defect-Induced Strain Hardening
15. Rheological Models with Characteristic Relaxation Times
16.. Simulations of Metals Subjected to High Strain Rates and Severe Plastic Deformations
1. Defects in Continuous Media
2. Dislocation Kinetics
3. Kinetics of Deformation Twins
4.. Transformation-Induced Plasticity
5. Grain Rotations and Dynamic Recrystallisation (CDRX & DDRX)
6. Pore Growth and Multiple Cracking
Part II: Discrete models
7. Defects in Discrete Manifolds
8. Kinetics of Micro-slips
9. Grain Boundary Fracture Networks
10. Continuous and Discontinuous Dynamic Recrystallisation
11. Crystallographic Grain Rotations
12. Pore Growth
Part III: Implications for Computational Mechanics
13. Relation between Kinetic and Dynamic Variables
14. Defect-Induced Strain Hardening
15. Rheological Models with Characteristic Relaxation Times
16.. Simulations of Metals Subjected to High Strain Rates and Severe Plastic Deformations
- Edition: 1
- Published: April 1, 2026
- Language: English
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Elijah Borodin
Dr. Elijah Borodin has an extensive track record in computational materials science, materials physics, and mechanics. To date, he has published more than 50 papers developing theoretical kinetic approaches to plasticity and fracture of metals subjected to high strain rates, extreme deformation conditions and severe plastic deformations. He had a particular contribution to the mechanical behaviour of fine-grained and nanocrystalline metals where the micro-mechanisms change, and material behaviour often becomes unpredictable. His unique multidisciplinary background allows him to link traditionally well-separated areas of a material’s microstructure evolution and the mechanical behaviour of materials. Dr Borodin has been collaborating extensively with both co-authors of this book. With Prof Mayer they developed theoretical and computational kinetic approaches for continuous formulation of plasticity and fracture processes, while during the last several years, more traditional continuous approaches were supplemented by the novel wholly discrete representation of polycrystalline material microstructures and kinetic processes of its development in close collaboration with Prof Jivkov. Such a combination of multidisciplinary expertise and extensive research in both continuous and discrete formulations provides a unique blend allowing the creation of a holistic picture of the defect structure evolution simultaneously on multiple scales presented in this book.
Affiliations and expertise
Lecturer in Solid Mechanics, Department of Solids and Structures, The University of Manchester, UKAJ
Andrey Jivkov
Prof Andrey Jivkov is a recognized expert in solid mechanics and EPSRC Research Fellow (2017-2022). He has authored over 140 peer-reviewed publications, including more than 80 articles in leading journals in the areas of mechanics and physics of materials. He has pioneered mesoscale modelling of deformation and fracture of metallic and quasi-brittle, materials with continuous and discrete mathematical formulations.
Affiliations and expertise
Doctor of Philosophy, Professor of Solid Mechanics, Head of the Department of Solids and Structures, The University of Manchester, UKAM
Alexander Mayer
Prof. Alexander Mayer is a recognized expert in plasticity, damage, and numerical simulations of structural transformation in metals. He has published over 140 publications with a particular focus on shock waves and dynamic deformation of metals, molecular dynamics simulations, and micromechanical models of plasticity and fracture. In the last several years, Prof Mayer and his research group are actively developing multiscale simulations and machine-learning-based approaches.
Affiliations and expertise
Dr. Sci., Professor, Head of the Department of General and Theoretical Physics, Chelyabinsk State University, Russia