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
