Jianmin Qu, Mohammed Cherkaoui

Fundamentals of Micromechanics of Solids

• Gebundenes Buch

Produktbeschreibung

The complete primer to micromechanics

Fundamentals of Micromechanics of Solids is the first book integrating various approaches in micromechanics into a unified mathematical framework, complete with coverage of both linear and nonlinear behaviors. Based on this unified framework, results from the authors' own research, as well as existing results in the literature are re-derived in a logical, pedagogical, and understandable approach. It enables readers to follow the various developments of micromechanics theories and quickly understand its wide range of applications of micromechanics.

This helpful guide is a powerful tool for learning the most fundamental ideas and approaches, basic concepts, principles, and methodologies of micromechanics. Readers will find:

- Vigorous derivations of the mathematical framework

- Introductions to both linear and nonlinear material behavior

- Unique coverage of brittle damage, shape memory alloys, and TRIP steels

- Large numbers of problems and exercises to support teaching and learning the concepts

- Lists of references and suggested readings in each chapter

Produktdetails

• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 400
• Erscheinungstermin: 18. August 2006
• Englisch
• Abmessung: 240mm x 161mm x 26mm
• Gewicht: 680g
• ISBN-13: 9780471464518
• ISBN-10: 0471464511
• Artikelnr.: 20894988

Autorenporträt

Jianmin Qu is a professor in the G. W. Woodruff School of Mechanical Engineering at Georgia Institute of Technology in Atlanta. Mohammed Cherkaoui, Phd, is a professor in the G. W. Woodruff School of Mechanical Engineering at Georgia Institute of Technology in Atlanta. He is formerly with the Université de Metz, France.

Inhaltsangabe

Preface. 1 Introduction. 1.1 Background and Motivation. 1.2 Objectives. 1.3
Organization of Book. 1.4 Notation Conventions. References. 2 Basic
Equations of Continuum Mechanics. 2.1 Displacement and Deformation. 2.2
Stresses and Equilibrium. 2.3 Energy, Work, and Thermodynamic Potentials.
2.4 Constitutive Laws. 2.5 Boundary Value Problems for Small-Strain Linear
Elasticity. 2.6 Integral Representations of Elasticity Solutions. Problems.
Appendix 2.A. Appendix 2.B. Appendix 2.C. References. Suggested Readings. 3
Eigenstrains. 3.1 Definition of Eigenstrains. 3.2 Some Examples of
Eigenstrains. 3.3 General Solutions of Eigenstrain Problems. 3.4 Examples.
Problems. Appendix 3.A. Appendix 3.B. References. Suggested Readings. 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. Problems. Appendix 4.A. Appendix 4.B.
Suggested Readings. 5 Definitions of Effective Moduli of Heterogeneous
Materials. 5.1 Heterogeneity and Length Scales. 5.2 Representative Volume
Element. 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. Problems. Suggested Readings. 6 Bounds
for Effective Moduli. 6.1 Classical Variational Theorems in Linear
Elasticity. 6.2 Voigt Upper Bound and Reuss Lower Bound. 6.3 Extensions of
Classical Variational Principles. 6.4 Hashin-Shtrikman Bounds. Problems.
Appendix 6.A. References. Suggested Readings. 7 Determination of Effective
Moduli. 7.1 Basic Ideas of Micromechanics for Effective Properties. 7.2
Eshelby Method. 7.3 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 Different Methods.
Problems. Suggested Readings. 8 Determination of the Effective
Moduli--Multiinclusion Approaches. 8.1 Composite-Sphere Model. 8.2
Three-Phase Model. 8.3 Four-Phase Model. 8.4 Multicoated Inclusion Problem.
Problems. Appendix 8.A. Appendix 8.B. Appendix 8.C. References. Suggested
Readings. 9 Effective Properties of Fiber-Reinforced Composite Laminates.
9.1 Unidirectional Fiber-Reinforced Composites. 9.2 Effective Properties of
Multilayer Composites. 9.3 Effective Properties of a Lamina. 9.4 Effective
Properties of a Laminated Composite Plate. Problems. Appendix 9.A.
References. Suggested Readings. 10 Brittle Damage and Failure of
Engineering Composites. 10.1 Imperfect Interfaces. 10.2 Fiber Bridging.
10.3 Transverse Matrix Cracks. Problems. Appendix 10.A. References.
Suggested Readings. 11 Mean Field Theory for Nonlinear Behavior. 11.1
Eshelby's Solution and Kröner's Model. 11.2 Applications. 11.3
Time-Dependent Behavior of Polycrystalline Materials: Secant Approach.
Problems. References. 12 Nonlinear Properties of Composites Materials:
Thermodynamic Approaches. 12.1 Nonlinear Behavior of Constituents. 12.2
Effective Potentials. 12.3 The Secant Approach. Problems. Suggested
Readings. 13 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.
Problems. References. Suggested Readings. Index.