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Material Modeling with the Visco-Plastic Self-Consistent (VPSC) Approach
Theory and Practical Applications
- 1st Edition - May 24, 2023
- Authors: Carlos N. Tome, Ricardo A. Lebensohn
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 2 0 7 1 3 - 0
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 2 0 7 2 0 - 8
Material Modeling with the Visco-Plastic Self-Consistent (VPSC) Approach: Theory and Practical Applications provides readers with knowledge of material viscoplasticity and robus… Read more
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Request a sales quoteMaterial Modeling with the Visco-Plastic Self-Consistent (VPSC) Approach: Theory and Practical Applications provides readers with knowledge of material viscoplasticity and robust modeling approaches for predicting plastic deformation of crystal aggregates. Visco-Plastic Self-Consistent (VPSC) is the identifier of a computer code developed for the specific mechanical regime addressed (visco-plastic: VP) and the approach used (self-consistent: SC) meant to simulate large plastic deformation of aggregates, thermo-elastic material deformation, as well as predict stress-strain response, texture evolution of aggregates and stress-strain state inside grains. This approach is very versatile and able to tackle arbitrary material symmetry (cubic, hexagonal, trigonal, orthorhombic, triclinic), twinning, and multiphase aggregates.
It accounts for hardening, reorientation and shape change of individual grains, and can be applied to the deformation of metals, inter-metallics and geologic aggregates. Readers will have access to a companion website where they can download code and modify its input/output or add subroutines covering specific simulation research needs.
- Highlights a modeling approach that allows readers to accurately predict stress-strain response, texture evolution of aggregates, and internal stress states inside grains while also accounting for hardening, reorientation and shape change of individual grains
- Features modeling techniques that can be applied to the deformation of metals, inter-metallics and geologic aggregates
- Covers the theoretical aspects of homogeneous effective medium models as they apply to the simulation of plasticity and elasticity
- Provides several practical examples and applications of materials of different symmetry subjected to different deformation conditions
Academic researchers in mechanical engineering, materials science; Professional engineers and material scientists Professors and students in these fields
- Cover image
- Title page
- Table of Contents
- Copyright
- Preface
- 1. Basic concepts
- Abstract
- 1.1 Introduction
- 1.2 Stress, strain, governing, and constitutive equations
- 1.3 Crystal symmetry and crystallographic directions
- 1.4 Representation and transformation of Cartesian tensors
- 1.5 Description and representation of crystal orientations
- 1.6 Crystallographic slip and associated concepts
- 1.7 Kinematics of crystal plasticity adopted in VPSC formulation
- References
- 2. Polycrystal thermoelasticity: theory, models and applications
- Abstract
- 2.1 Introduction
- 2.2 Local constitutive behavior and homogenization
- 2.3 Green’s function method and Fourier transform solution
- 2.4 Elastic inclusion and Eshelby tensor
- 2.5 Interaction and localization equations
- 2.6 Self-consistent equations for a polycrystal
- 2.7 Algorithm
- 2.8 Applications
- Appendix
- References
- 3. Polycrystal viscoplasticity: theory and models
- Abstract
- 3.1 Introduction
- 3.2 Local viscoplastic constitutive behavior and homogenization
- 3.3 Green’s function method and Fourier transform solution
- 3.4 Viscoplastic inclusion and Eshelby tensor
- 3.5 Interaction and localization equations
- 3.6 Self-consistent equations
- 3.7 Linearization
- 3.8 Microstructure evolution
- 3.9 Algorithm
- Appendix
- References
- 4. Constitutive models
- Abstract
- 4.1 Introduction
- 4.2 Constitutive models for slip and twinning
- 4.3 Anisotropic yield surfaces of polycrystals and plastic forming
- 4.4 Extensions of the viscoplastic self-consistent model
- References
- 5. Description of viscoplastic self-consistent code and numerical algorithms
- Abstract
- 5.1 Introduction
- 5.2 VPSC code description
- 5.3 Units, notation, and conventions
- 5.4 Description of subroutines and related algorithms
- 5.5 Description of input files
- 5.6 Description of output files
- References
- 6. Application examples of the viscoplastic self-consistent code
- Abstract
- 6.1 Introduction
- 6.2 Thermoelastic processes
- 6.3 Tension and compression of FCC aggregate
- 6.4 Rolling of an FCC aggregate
- 6.5 Rolling of a BCC aggregate
- 6.6 Rolling of a two-phase aggregate
- 6.7 Torsion of FCC and HCP aggregates
- 6.8 Mechanical threshold strength model applied to aluminum
- 6.9 Tension and compression of rolled Zr
- 6.10 Compression of orthorhombic olivine (MgSiO4)
- 6.11 Compression of hexagonal ice
- 6.12 Equal channel angular extrusion of FCC
- 6.13 Dislocation density model applied to FCC and HCP
- 6.14 Strain-path changes in steel and Mg
- 6.15 Irradiation creep and growth of Zircaloy-2
- 6.16 Grain shape and postmortem restart features
- References
- Index
- No. of pages: 380
- Language: English
- Edition: 1
- Published: May 24, 2023
- Imprint: Elsevier
- Paperback ISBN: 9780128207130
- eBook ISBN: 9780128207208
CT
Carlos N. Tome
Dr. Tome is a Laboratory Fellow at Los Alamos National Laboratory where he started at in 1996 as Scientist. Prior he was a Professor at the National University of La Plata (Argentina). For the last 35 years his research interest has been on elastic, plastic, and creep behavior of polycrystalline aggregates, with a focus on development of constitutive equations at the single crystal level for low symmetry metals and geologic materials. His research includes pioneering the theoretical and numerical modeling of mechanical behavior of polycrystals with a focus on the role played by texture, twinning, and microstructure. He has over 200 peer-reviewed publications with over 20k citations. He has co-authored multiple books and has won multiple awards.
Affiliations and expertise
Laboratory Fellow, Los Alamos National Laboratory; Professor, National University of La Plata, ArgentinaRL
Ricardo A. Lebensohn
Dr. Lebensohn is Senior Scientist of Los Alamos National Laboratory’s Theoretical Division, Fluid Dynamics, and Solid Mechanics Group. He is an expert in structure/property relationships and crystal plasticity modeling. His original contributions in terms of wide-spread materials modeling and simulation tools include the viscoplastic self-consistent (VPSC) code, a homogenization-based crystal plasticity formulation for the prediction of mechanical response, anisotropy, and microstructure evolution of polycrystalline materials, as well as Fast Fourier Transform (FFT)-based codes, for efficient prediction of micromechanical fields in polycrystalline aggregates. He has published more than 130 peer-reviewed journal papers that have received more than 8900 citations.
Affiliations and expertise
Senior Scientist, Los Alamos National Laboratory’s Theoretical Division, Fluid Dynamics, and Solid Mechanics Group, USARead Material Modeling with the Visco-Plastic Self-Consistent (VPSC) Approach on ScienceDirect