纳米力学与材料：理论、多尺度方法和应用

合成与分析纳米物质特性的能力取得了革命性的进展，广泛应用于生物医学、机械、电子、精密材料以及军事工程等领域。纳米力学是研究和描述单个原子、系统和结构在各种载荷条件下响应的机械行为特性的学科，它的发展促进了该技术的进步。尤其是多尺度建模方法，它可以使此领域的工程师更好的理解微纳米材料。
　　本书由该领域内资深专家撰写，对纳米力学和材料的基本概念进行了介绍，侧重于多重尺度建模方法和技术的研究。本书内容包括：分子力学基础，微粒系统、晶格机械及现代多尺度建模理论等。
　　本书是一本相关领域电子工程师、材料科研工作者开发微纳米材料应用的全面的指南，同时也可作为微纳米力学和微纳米技术专业研究生的参考书。

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

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