Advanced Mechanics of Composite Materials

Composite materials have been representing most significant breakthroughs in various industrial applications, particularly in aerospace structures, during the past thirty five years. The primary goal of Advanced Mechanics of Composite Materials is the combined presentation of advanced mechanics, manufacturing technology, and analysis of composite materials. This approach lets the engineer take into account the essential mechanical properties of the material itself and special features of practical implementation, including manufacturing technology, experimental results, and design characteristics. Giving complete coverage of the topic: from basics and fundamentals to the advanced analysis including practical design and engineering applications. At the same time including a detailed and comprehensive coverage of the contemporary theoretical models at the micro- and macro- levels of material structure, practical methods and approaches, experimental results, and optimisation of composite material properties and component performance. The authors present the results of more than 30 year practical experience in the field of design and analysis of composite materials and structures.

* Eight chapters progressively covering all structural levels of composite materials from their components through elementary plies and layers to laminates
* Detailed presentation of advanced mechanics of composite materials
* Emphasis on nonlinear material models (elasticity, plasticity, creep) and structural nonlinearity

Chapter 1. Introduction
1.1 Structural Materials
1.2 Composite Materials
1.3 References

Chapter 2. Fundamentals of Mechanics of Solids
2.1 Stresses
2.2 Equilibrium Equations
2.3 Stress Transformation
2.4 Principal Stresses
2.5 Displacements and Strains
2.6 Transformation of Small Strains
2.7 Compatibility Equations
2.8 Admissible Static and Kinematic Fields
2.9 Constitutive Equations for an Elastic Solid
2.10 Formulations of the Problem
2.11 Variational Principles

Chapter 3. Mechanics of a Unidirectional Ply
3.1 Ply Architecture
3.2 Fiber-Matrix Interaction
3.3 Micromechanics of a Ply
3.4 Mechanical Properties of a Ply under Tension, Shear, and Compression
3.5 Hybrid Composites
3.6 Composites with High Fiber Fraction
3.7 Phenomenological Homogeneous Model of a Ply

Chapter 4. Mechanics of a Composite Layer
4.1 Isotropic Layer
4.2 Unidirectional Orthotropic Layer
4.3 Unidirectional Anisotropic Layer
4.4 Orthogonally Reinforced Orthotropic Layer
4.5 Angle-Ply Orthotropic Layer
4.6 Fabric Layers
4.7 Lattice Layer
4.8 Spatially Reinforced Layers and Bulk Materials

Chapter 5. Mechanics of Laminates
5.1 Stiffness Coefficients of a Generalized Anisotropic Layer
5.2 Stiffness Coefficients of a Homogeneous Layer
5.3 Stiffness Coefficients of a Laminate
5.4 Symmetric Laminates
5.5 Engineering Stiffness Coefficients of Orthotropic Laminates
5.6 Quasi-Homogeneous Laminates
5.7 Quasi-Isotropic Laminates
5.8 Antisymmetric Laminates
5.9 Sandwich Structures
5.10 Coordinate of the Reference Plane
5.11 Stresses in Laminates
5.12 Example

Chapter 6. Failure Criteria and Strength of Laminates
6.1 Failure Criteria for an Elementary Composite Layer or Ply
6.2 Practical Recommendations
6.3 Examples
6.4 Allowable Stresses for Laminates Consisting of Unidirectional Plies

Chapter 7. Environmental, Special Loading, and Manufacturing Effects
7.1 Temperature Effects
7.2 Hydrothermal Effects and Aging
7.3 Time and Time-Dependent Loading Effects
7.4 Manufacturing Effects

Chapter 8. Optimal Composite Structures
8.1 Optimal Fibrous Structures
8.2 Composite Laminates of Uniform Strength
8.3 Application to Optimal Composite Structures