Fundamentals of Micromechanics of Solids

Informationen zum Autor 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. Klappentext The complete primer to micromechanicsFundamentals 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 Zusammenfassung The complete primer to micromechanicsFundamentals 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 Inhaltsverzeichnis 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. Suggest...

Table des matières

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 Re

Détails du produit

• Auteurs: Cherkaoui, Mohammed Cherkaoui, Cherkaoui Mohammed, Qu, J Qu, Jianmi Qu, Jianmin Qu, Jianmin (Georgia Institute of Technology) Cher Qu, Jianmin Cherkaoui Qu, Qu Jianmin, QU JIANMIN CHERKAOUI MOHAMMED
• Edition: Wiley, John and Sons Ltd
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 01.09.2006
• EAN: 9780471464518
• ISBN: 978-0-471-46451-8
• Pages: 400
• Catégories: Sciences naturelles, médecine, informatique, technique > Physique, astronomie > Mécanique, acoustique; Maschinenbau, Mikromechanik, Mechanical Engineering, Solid Mechanics, Electrical & Electronics Engineering, Elektrotechnik u. Elektronik, Festkörpermechanik, MEMS