| 本书是微纳技术著作丛书(影印版)之一，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。 |
| Introduction 1.1 Potential of Nanoscale Engineering 1.2 Motivation for Multiple Scale Modeling 1.3 Educational Approach Classical Molecular Dynamics 2.1 Mechanics of a System of Particles 2.1.1 Generalized Coordinates 2.1.2 Mechanical Forces and Potential Energy 2.1.3 Lagrange Equations of Motion 2.1.4 Integrals of Motion and Symmetric Fields 2.1.5 Newtonian Equations 2.1.6 Examples 2.2 Molecular Forces 2.2.1 External Fields 2.2.2 Pair-Wise Interaction 2.2.3 Multibody Interaction 2.2.4 Exercises 2.3 Molecular Dynamics Applications Lattice Mechanics 3.1 Elements of Lattice Symmetries 3.1.1 Bravais Lattices 3.1.2 Basic Symmetry Principles 3.1.3 Crystallographic Directions and Planes 3.2 Equation of Motion of a Regular Lattice 3.2.1 Unit Cell and the Associate Substructure 3.2.2 Lattice Lagrangian and Equations of Motion 3.2.3 Examples 3.3 Transforms 3.3.1 Fourier Transform 3.3.2 Laplace Transform 3.3.3 Discrete Fourier Transform 3.4 Standing Waves in Lattices 3.4.1 Normal Modes and Dispersion Branches 3.4.2 Examples 3.5 Green's Function Methods 3.5.1 Solution for a Unit Pulse 3.5.2 Free Lattice with Initial Perturbations 3.5.3 Solution for Arbitrary Dynamic Loads 3.5.4 General Inhomogeneous Solution 3.5.5 Boundary Value Problems and the Time History Kernel 3.5.6 Examples 3.6 Q~asi-Static Approximation 3.6.1 Equilibrium State Equation 3.6.2 Quasi-Static Green's Function 3.6.3 Multiscale Boundary Conditions Methods of Thermodynamics and Statistical Mechanics 4.1 Basic Results of the Thermodynamic Method 4.1.1 State Equations 4.1.2 Energy Conservation Principle 4.1.3 Entropy and the Second Law of Thermodynamics 4.1.4 Nernst's Postulate 4.1.5 Thermod…… |
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