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Qu, Jianmin

Fundamentals of Micromechanics of Solids

€ 165.95

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.


Taal / Language : English

Inhoudsopgave:
Preface xiii
1 Introduction
1(10)
1.1 Background and Motivation
3(1)
1.2 Objectives
4(1)
1.3 Organization of Book
4(1)
1.4 Notation Conventions
5(4)
References
9(2)
2 Basic Equations of Continuum Mechanics
11(38)
2.1 Displacement and Deformation
11(4)
2.2 Stresses and Equilibrium
15(3)
2.3 Energy, Work, and Thermodynamic Potentials
18(4)
2.4 Constitutive Laws
22(12)
2.5 Boundary Value Problems for Small-Strain Linear Elasticity
34(9)
2.6 Integral Representations of Elasticity Solutions 35 Problems
43(1)
Appendix 2.A
44(1)
Appendix 2.B
44(2)
Appendix 2.C
46(1)
References
47(1)
Suggested Readings
48(1)
3 Eigenstrains
49(22)
3.1 Definition of Eigenstrains
49(3)
3.2 Some Examples of Eigenstrains
52(1)
3.3 General Solutions of Eigenstrain Problems
53(3)
3.4 Examples
56(10)
Problems
66(1)
Appendix 3.A
67(3)
Appendix 3.B
70(1)
References
70(1)
Suggested Readings
70(1)
4 Inclusions and Inhomogeneities
71(28)
4.1 Definitions of Inclusions and Inhomogeneities
71(2)
4.2 Interface Conditions
73(4)
4.3 Ellipsoidal Inclusion with Uniform Eigenstrains (Eshelby Solution)
77(7)
4.4 Ellipsoidal Inhomogeneities
84(4)
4.5 Inhomogeneous Inhomogeneities
88(3)
Problems
91(1)
Appendix 4.A
92(1)
Appendix 4.B
93(5)
Suggested Readings
98(1)
5 Definitions of Effective Moduli of Heterogeneous Materials
99(21)
5.1 Heterogeneity and Length Scales
99(3)
5.2 Representative Volume Element
102(1)
5.3 Random Media
102(6)
5.4 Macroscopic Averages
108(3)
5.5 Hill`s Lemma
111(2)
5.6 Definitions of Effective Modulus of Heterogeneous Media
113(3)
5.7 Concentration Tensors and Effective Properties
116(3)
Problems
119(1)
Suggested Readings
119(1)
6 Bounds for Effective Moduli
120(34)
6.1 Classical Variational Theorems in Linear Elasticity
120(3)
6.2 Voigt Upper Bound and Reuss Lower Bound
123(3)
6.3 Extensions of Classical Variational Principles
126(10)
6.4 Hashin Shtrikman Bounds
136(9)
Problems
145(2)
Appendix 6.A
147(5)
References
152(1)
Suggested Readings
153(1)
7 Determination of Effective Moduli
154(42)
7.1 Basic Ideas of Micromechanics for Effective Properties
154(4)
7.2 Eshelby Method
158(5)
7.3 Mori Tanaka Method
163(6)
7.4 Self-Consistent Methods for Composite Materials
169(4)
7.5 Self-Consistent Methods for Polycrystalline Materials
173(6)
7.6 Differential Schemes
179(4)
7.7 Comparison of Different Methods
183(10)
Problems
193(2)
Suggested Readings
195(1)
8 Determination of the Effective Moduli Multiinclusion Approaches
196(18)
8.1 Composite-Sphere Model
196(4)
8.2 Three-Phase Model
200(3)
8.3 Four-Phase Model
203(1)
8.4 Multicoated Inclusion Problem
204(2)
Problems
206(1)
Appendix 8.A
207(1)
Appendix 8.B
208(2)
Appendix 8.0
210(1)
References
211(1)
Suggested Readings
212(2)
9 Effective Properties of Fiber-Reinforced Composite Laminates
214(31)
9.1 Unidirectional Fiber-Reinforced Composites
214(12)
9.2 Effective Properties of Multilayer Composites
226(8)
9.3 Effective Properties of a Lamina
234(4)
9.4 Effective Properties of a Laminated Composite Plate
238(2)
Problems
240(1)
Appendix 9.A
240(3)
References
243(1)
Suggested Readings
244(1)
10 Brittle Damage and Failure of Engineering Composites 245(35)
10.1 Imperfect Interfaces
245(14)
10.2 Fiber Bridging
259(7)
10.3 Transverse Matrix Cracks
266(11)
Problems
277(1)
Appendix 10.A
277(1)
References
278(1)
Suggested Readings
279(1)
11 Mean Field Theory for Nonlinear Behavior 280(39)
11.1 Eshelby`s Solution and Kr ner`s Model
283(16)
11.2 Applications
299(13)
11.3 Time-Dependent Behavior of Polycrystalline Materials: Secant Approach
312(4)
Problems
316(1)
References
316(3)
12 Nonlinear Properties of Composites Materials: Thermodynamic Approaches 319(28)
12.1 Nonlinear Behavior of Constituents
321(7)
12.2 Effective Potentials
328(3)
12.3 The Secant Approach
331(11)
Problems
342(3)
Suggested Readings
345(2)
13 Micromechanics of Martensitic Transformation in Solids 347(34)
13.1 Phase Transformation Mechanisms at Different Scales
350(17)
13.2 Application: Thermodynamic Forces and Constitutive Equations for Single Crystals
367(6)
13.3 Overall Behavior of Polycrystalline Materials with Phase Transformation
373(4)
Problems
377(2)
References
379(1)
Suggested Readings
379(2)
Index 381
Extra informatie: 
Hardback
386 pagina's
Januari 2006
680 gram
235 x 152 x 19 mm
John Wiley & Sons us

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