納米力學(xué)與材料：理論、多尺度方法和應(yīng)用（影印版）

1 Introduction
　1.1 Potential of Nanoscale Engineering
　1.2 Motivation for Multiple Scale Modeling
　1.3 Educational Approach
2　Classical Molecular Dynamics
　2.1 Mechanics of a System of Particles
　2.2 Molecular Forces
　2.3 Molecular Dynamics Applications
3　Lattice Mechanics
　3.1 Elements of Lattice Symmetries
　3.2 Equation of Motion of a Regular Lattice
　3.3 Transforms
　3.4 Standing Waves in Lattices
　3.5 Green's Function Methods
　3.6 Q~asi-Static Approximation
4　Methods of Thermodynamics and Statistical Mechanics
　4.1 Basic Results of the Thermodynamic Method
　4.2 Statistics of Multiparticle Systems in Thermodynamic Equilibrium
　4.3 Numerical Heat Bath Techniques
5　Introduction to Multiple Scale Modeling
　5.1 MAAD
　5.2 Coarse-Grained Molecular Dynamics
　5.3 Quasi-Continuum Method
　5.4 CADD
　5.5 Bridging Domain
6　Introduction to Bridging Scale　
　6.1 Bridging Scale Fundamentals
　6.2 Removing Fine Scale Degrees of Freedom in Coarse Scale Region
　6.3 Discussion on the Damping Kernel Technique
　6.4 Cauchy-Born Rule
　6.5 Virtual Atom Cluster Method
　6.6 Staggered Time Integration Algorithm
　6.7 Summary of Bridging Scale Equations
　6.8 Discussion on the Bridging Scale Method
7　Bridging Scale Numerical Examples
　7.1 Comments on Time History Kernel
　7.2 1D Bridging Scale Numerical Examples
　7.3 2D/3D Bridging Scale Numerical Examples
　7.4 Two-Dimensional Wave Propagation
　7.5 Dynamic Crack Propagation in Two Dimensions
　7.6 Dynamic Crack Propagation in Three Dimensions
　7.7 Virtual Atom Cluster Numerical Examples
8　Non-Nearest Neighbor MD Boundary Condition
　8.1 Introduction
　8.2 Theoretical Formulation in 3D
　8.3 Numerical Examples: ID Wave Propagation
　8.4 Time-History Kernels for FCC Gold
　8.5 Conclusion for the Bridging Scale Method
9 Multiscale Methods for Material Design
　9.1 Multiresolution Continuum Analysis
　9.2 Multiscale Constitutive Modeling of Steels
　9.3 Bid-Inspired Materials
　9.4 Summary and Future Research Directions
10 Bio-Nano Interface
　10.1 Introduction
　10.2 Immersed Finite Element Method
　10.3 Vascular Flow and Blood Rheology
　10.4 Electrohydrodynamic Coupling
　10.5 CNT/DNA Assembly Simulation
　10.6 Cell Migration and Cell-Suhstrate Adhesion
　10.7 Conclusions
Appendix A Kernel Matrices for EAM Potential
Bibliography
Index