With composites under increasing use in industry to replace traditional materials in components and structures, the modeling of composite performance, damage and failure has never been more important.
Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach brings together comprehensive background information on the multiscale nature of the composite, constituent material behaviour, damage models and key techniques for multiscale modelling, as well as presenting the findings and methods, developed over a lifetime’s research, of three leading experts in the field.
The unified approach presented in the book for conducting multiscale analysis and design of conventional and smart composite materials is also applicable for structures with complete linear and nonlinear material behavior, with numerous applications provided to illustrate use.
Modeling composite behaviour is a key challenge in research and industry; when done efficiently and reliably it can save money, decrease time to market with new innovations and prevent component failure. This book provides the tools and knowledge from leading micromechanics research, allowing researchers and senior engineers within academia and industry with to improve results and streamline development workflows.
Key Features
- Brings together for the first time the findings of a lifetime’s research in micromechanics by recognized leaders in the field
- Provides a comprehensive overview of all micromechanics formulations in use today and a unified approach that works for the multiscale analysis and design of multi-phased composite materials, considering both small strain and large strain formulations
- Combines otherwise disparate theory, code and techniques in a step-by-step manner for efficient and reliable modeling of composites
Dedication
Preface
Acknowledgments
Acronyms
Chapter 1. Introduction
1.1 Fundamentals of Composite Materials and Structures
1.2 Modeling of Composites
1.3 Description of the Book Layout
1.4 Suggestions on How to Use the Book
Chapter 2. Constituent Material Modeling
2.1 Reversible Models
2.2 Irreversible Deformation Models
2.3 Damage/Life Models
2.4 Concluding Remarks
Chapter 3. Fundamentals of the Mechanics of Multiphase Materials
3.1 Introduction of Scales and Homogenization/Localization
3.2 Macromechanics versus Micromechanics
3.3 Representative Volume Elements (RVEs) and Repeating Unit Cells (RUCs)
3.4 Volume Averaging
3.5 Homogeneous Boundary Conditions
3.6 Average Strain Theorem
3.7 Average Stress Theorem
3.8 Determination of Effective Properties
3.9 Mechanics of Composite Materials
3.10 Comparison of Various Micromechanics Methods for Continuous Reinforcement
3.11 Levin’s Theorem: Extraction of Effective CTE from Mechanical Effective Properties
3.12 The Self-Consistent Scheme (SCS) and Mori-Tanaka (MT) Method for Inelastic Composites
3.13 Concluding Remarks
Chapter 4. The Method of Cells Micromechanics
4.1 The MOC for Continuously Fiber-Reinforced Materials (Doubly Periodic)
4.2 The Method of Cells for Discontinuously Fiber-Reinforced Composites (Triply Periodic)
4.3 Applications: Unidirectional Continuously Reinforced Composites
4.4 Applications: Discontinuously Reinforced (Short-Fiber) Composites
4.5 Applications: Randomly Reinforced Materials
4.6 Concluding Remarks
Chapter 5. The Generalized Method of Cells Micromechanics
5.1 GMC for Discontinuous Reinforced Composites (Triple Periodicity)
5.2 Specialization of GMC to Continuously Reinforced Composites (Double Periodicity)
5.3 Applications
5.4 Concluding Remarks
Chapter 6. The High-Fidelity Generalized Method of Cells Micromechanics
6.1 Three-Dimensional (Triply Periodic) High-Fidelity Generalized Method of Cells with Imperfect Bonding Between the Phases
6.2 Specialization to Double Periodicity (for Continuous Fibers, Anisotropic Constituents, and Imperfect Bonding)
6.3 Reformulation of the Two-Dimensional (Doubly Periodic) HFGMC with Debonding and Inelasticity Effects
6.4 Contrast Between HFGMC and Finite Element Analysis (FEA)
6.5 Isoparametric Subcell Generalization
6.6 Doubly Periodic HFGMC Applications
6.7 Triply Periodic Applications
6.8 Concluding Remarks
Chapter 7. Multiscale Modeling of Composites
7.1 Introduction
7.2 Multiscale Analysis Using Lamination Theory
7.3 HyperMAC
7.4 Multiscale Generalized Method of Cells (MSGMC)
7.5 FEAMAC
7.6 Concluding Remarks
Chapter 8. Fully Coupled Thermomicromechanical Analysis of Multiphase Composites
8.1 Introduction
8.2 Classical Thermomicromechanical Analysis
8.3 Fully Coupled Thermomicromechanical Analysis
8.4 Applications
8.5 Concluding Remarks
Chapter 9. Finite Strain Micromechanical Modeling of Multiphase Composites
9.1 Introduction
9.2 Finite Strain Generalized Method of Cells (FSGMC)
9.3 Applications Utilizing FSGMC
9.4 Finite Strain High-Fidelity Generalized Method of Cells (FSHFGMC) for Thermoelastic Composites
9.5 Applications Utilizing FSHFGMC
9.6 Concluding Remarks
Chapter 10. Micromechanical Analysis of Smart Composite Materials
10.1 Introduction
10.2 Electro-Magneto-Thermo-Elastic Composites
10.3 Hysteresis Behavior of Ferroelectric Fiber Composites
10.4 The Response of Electrostrictive Composites
10.5 Analysis of Magnetostrictive Composites
10.6 Nonlinear Electro-Magneto-Thermo-Elastic Composites
10.7 Shape Memory Alloy Fiber Composites
10.8 Shape Memory Alloy Fiber Composites Undergoing Large Deformations
10.9 Applications
10.10 Concluding Remarks
Chapter 11. Higher-Order Theory for Functionally Graded Materials
11.1 Background and Motivation
11.2 Generalized Three-Directional HOTFGM
11.3 Specialization of the Higher-Order Theory
11.4 Higher-Order Theory for Cylindrical Functionally Graded Materials (HOTCFGM)
11.5 HOTFGM Applications
11.6 HOTCFGM Applications
11.7 Concluding Remarks
Chapter 12. Wave Propagation in Multiphase and Porous Materials
12.1 Full Three-Dimensional Theory
12.2 Specialization to Two-Dimensional Theory for Thermoelastic Materials
12.3 The Inclusion of Inelastic Effects
12.4 Two-Dimensional Wave Propagation with Full Thermoelastic Coupling
12.5 Applications
12.6 Concluding Remarks
Chapter 13. Micromechanics Software
13.1 Accessing the Software
13.2 Method of Cells Source Code
13.3 MAC/GMC 4.0
13.4 Concluding Remarks
Color Plate
References
Index
- Hull & Bacon, Introduction to Dislocations, Butterworth-Heinemann, 2011, Paperback, 272pp, ISBN: 9780080966724, $66.95/£39.99/ €47.95
- Buryachenko, Micromechanics of Heterogeneous Materials, Springer, 2010, Paperback, 707pp, ISBN 9781441942272, $189 / £126
- Lee et al., Metal Failure Analysis Handbook, Butterworth-Heinemann, 2011, Hardback, 700pp, ISBN 9780123852045, $125.00/ £75.00/ €88.95
Academic professionals and practicing engineers in the field of composite mechanics, including members of ASME, AIAA and SAE; Aerospace and automotive engineers wanting to design and analyze composite materials; Advanced students and graduates
