Computational and Experimental Mechanics of Advanced Materials (eBook)

Preface 6
Contents 8
Experimental Analysis of Mechanical Behaviour of Advanced Materials 9
1 Introduction 9
2 DMA & visco-elastic properties
3 Testing of microspecimens 16
4 Nanoindentation 21
5 Full field measurement techniques 31
Bibliography 50
Localization and Dynamic Defects in Lattice Structures 58
1 Introduction 58
2 Stop bands and localization within discrete dynamic systems 60
3 Dynamic fault in a two-dimensional inhomogenous lattice structure 71
Bibliography 87
A 3-D brick Cosserat Point Element (CPE) for nonlinear elasticity 90
1 Introduction 90
2 Basic tensor operations 91
3 Some kinematic measures in continuum mechanics 98
4 Balance laws in curvilinear coordinates 99
5 Bubnov-Galerkin equations for a 3-D brick element 102
6 Balance laws for a 3-D brick CPE (direct approach) 106
7 Constitutive equations for a hyperelastic CPE 108
8 A nonlinear patch test 109
9 A specific form of the strain energy function for inhomogenous 113
10 Determination of the constructive coefficients 114
11 A test for path-dependence 121
12 Example problems of thin structures with irregular element shapes 125
13 Example problems exhibiting robustness to hourglass instabilities 135
14 Example problems exhibiting robustness to near incompressibility 138
15 Conclusions 145
Bibliography 146
Multiscale Approaches: From the Nanomechanics to the Micromechanics 148
1 Overview 148
2 Continuum Mechanics Methods 151
3 Outstanding Issues and Future Prospects 163
Bibliography 169
Analytical and Numerical Methods for Modeling the Thermomechanical and Thermophysical Behavior of Microstructured Materials 173
1 Introduction 173
2 Mean Field Methods and Variational Bounds 176
3 Methods Based on Discrete Microstructures 188
4 Some Issues and Applications 203
5 Closing Remarks 219
Bibliography 219
Effect of Microstructure: Multi-scale Modelling 230
1 Introduction 230
2. Account for microstructural randomness of composites 231
3. Modelling ceramic coatings with random porosity 239
4. Effect of Microstructure in Modelling Microelectronic Applications 250
Acknowledgement 262
Bibliography 262