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051021s2006 njua |! 001 0 eng |
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|a Qu, Jianmin.
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|a Fundamentals of micromechanics of solids /
|c Jianmin Qu, Mohammed Cherkaoui.
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|a Hoboken, N.J. :
|b Wiley,
|c c2006.
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| 300 |
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|a xiii, 386 p. :
|b il. ;
|c 25 cm.
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|a Incluye referencias bibliográficas e índice.
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|a Chapter 1: INTRODUCTION ?1.1 Background and Motivation ?1.2 Objectives ?1.3 Organization of the Book ?1.4 Notation Conventions References Chapter 2: BASIC EQUATIONS OF CONTINUUM MECHANICS ?2.1 Displacement and Deformation ?2.2 Stresses and Equilibrium ?2.3 Energy, Work and Thermodynamics Potentials ?2.4 Constitutive Laws ?2.5 Boundary Value Problems for Small Strain Linear Elasticity ?2.6 Integral Representations of the Elasticity Solutions Exercise Problems References and Suggested Readings Appendix 2.A Appendix 2.B Appendix 2.C Chapter 3: EIGENSTRAINS ?3.1 Definition of Eigenstrains ?3.2 Some Examples of Eigenstrains ?3.3 General Solutions of Eigenstrain Problems ?3.4 Examples Exercise Problems References and Suggested Readings Appendix 3.A Appendix 3.B Chapter 4: INCLUSIONS AND INHOMOGENEITIES ?4.1 Definitions of Inclusions and Inhomogeneities ?4.2 Interface Conditions ?4.3 Ellipsoidal Inclusion with Uniform Eigenstrains (Eshelby Solution) ?4.4 Ellipsoidal Inhomogeneities ?4.5 Inhomogeneous Inhomogeneities Exercise Problems References and Suggested Readings Appendix 4.A Appendix 4.B Micromechanics ? Qu and Cherkaoui Chapter 5: DEFINITIONS OF EFFECTIVE MODULI OF HETEROGENEOUS MATERIALS ?5.1 Heterogeneity and Length Scales ?5.2 Representative Volume Element (RVE) ?5.3 Random Media ?5.4 Macroscopic Averages ?5.5 Hill's Lemma ?5.6 Definitions of Effective Modulus of Heterogeneous Media ?5.7 Concentration Tensors and Effective Properties Exercise Problems References and Suggested Readings Chapter 6: BOUNDS FOR THE EFFECTIVE MODULI ?6.1 Classical Variational Theorems in Linear Elasticity ?6.2 Voigt Upper Bound and the Reuss Lower Bound ?6.3 Extensions of the Classical Variational Principles ?6.4 Hashin-Shtrikman Bounds Exercise Problems References and Suggested Readings Appendix 6.A Chapter 7: DETERMINATION OF THE EFFECTIVE MODULI ?7.1 Basic Ideas of Micromechanics for Effective Properties ?7.2 The Eshelby Method ?7.3 The Mori-Tanaka Method ?7.4 Self-Consistent Methods for Composite Materials ?7.5 Self-Consistent Methods for Polycrystalline Materials ?7.6 Differential Schemes ?7.7 Comparison of the Different Methods Exercise Problems References and Suggested Readings Chapter 8: DETERMINATION OF THE EFFECTIVE MODULI? MULTIINCLUSION APPROACHES ?8.1 The Composite Sphere Model ?8.2 The Three-Phase model ?8.3 The Four-Phase Model ?8.4 The Multicoated Inclusion Problem Exercise Problems References and Suggested Readings Appendix 8.A Appendix 8.B Appendix 8.C Micromechanics ? Qu and Cherkaoui Chapter 9: EFFECTIVE PROPERTIES OF FIBER-REINFORCED COMPOSITE LAMINATES ?9.1 Unidirectional Fiber-Reinforced Composites ?9.2 Effective Properties of Multi-Layer Composites ?9.3 Effective Properties of a Lamina ?9.4 Effective Properties of a Laminated Composite Plate Exercise Problems References and Suggested Readings Appendix 9.A Chapter 9: BRITTLE DAMAGE AND FAILURE OF ENGINEERING COMPOSITES ?10.1 Imperfect Interfaces ?10.2 Fiber Bridging ?10.3 Transverse Matrix Cracks Exercise Problems References and Suggested Readings Appendix 10.A Chapter 11: MEAN FIELD THEORY FOR NONLINEAR BEHAVIOR ?11.1 Eshelby?s Solution and Kr¿ner?s Model ?11.2 Applications ?11.3 Time Dependent Behavior of Polycrystalline Materials: Secant Approach Exercise Problems References and Suggested Readings Chapter 12: NON LINEAR PROPERTIES OF COMPOSITES MATERIALS - THERMODYNAMIC APPROACHES ?12.1 Nonlinear Behavior of the Constituents ?12.2 Effective Potentials ?12.3 The Secant Approach Exercise Problems References and Suggested Readings Chapter 13: ON MICROMECHANICS OF MARTENSITIC TRANSFORMATION IN SOLIDS ?13.1 Phase Transformation Mechanisms at Different Scales ?13.2. Application: Thermodynamic Forces and Constitutive Equations for Single Crystals ?13.3. Overall Behavior of Polycrystalline Materials with Phase Transformation Exercise Problems References and Suggested Readings
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