1. Edition - December 2005
102.- Euro
2005. 334 Pages, Hardcover
- Practical Approach Book -
ISBN-10: 0-470-01851-8
ISBN-13: 978-0-470-01851-4 - John Wiley & Sons






Sample Chapter

Short description
Written by respected researchers in the field, Nano Mechanics and Materials informs researchers and practitioners about the fundamental concepts in nano mechanics and materials, focusing on their modeling via multiple scale methods and techniques. The book systematically covers the theory behind multi-particle and nanoscale systems, introduces multiple scale methods, and finally looks at contemporary applications in nano-structured and bio-inspired materials. The authors begin by explaining the potential of nanoscale engineering, and the rationale behind the multiple scale modeling method in a comprehensive introduction. They then follow this by providing theoretical information on the mechanics of a system of particles, molecular forces, and lattice mechanics. The next chapter introduces the reader to potential methods used to analyze these materials, which most importantly includes the multiple scale modeling method. A substantial section is taken up with introducing the bridging scale method, which is backed up with a chapter on numerical examples using this technique. Analysis of materials applications and bio-inspired applications, using and testing the multiple scale modeling method, concludes the text.

From the contents
Preface.

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 Quasistatic 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 Quasicontinuum 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.

3D Generalization.

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.

7.4 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 - 1D Wave Propagation.

8.4 Time History Kernels for FCC Gold.

8.5 Conclusion on the Bridging Scale Method.

9. Multiscale Methods for Material Design.

9.1 Multiresolution Continuum Analysis.

9.2 Multiscale Constitutive Modeling of Steels.

9.3 Bio-Inspired Materials.

9.4 Summary and Future Research Directions.

10. Bio-Nano Interface.

10.3 Vascular Flow and Blood Rheology.

10.4 Electrohydrodynamic Coupling.

10.5 CNT/DNA Assembly Simulation.

10.6 Cell Migration and Cell-Substrate Adhesion.

10.7 Conclusions.

Appendix A: Kernel Matrices for EAM Potential.

Bibliography.

Index.