Chapter 6. Introduction to Bridging Scale

  1. Wing Kam Liu1,
  2. Eduard G. Karpov1 and
  3. Harold S. Park2

Published Online: 16 MAY 2006

DOI: 10.1002/0470034106.ch6

Nano Mechanics and Materials: Theory, Multiscale Methods and Applications

Nano Mechanics and Materials: Theory, Multiscale Methods and Applications

How to Cite

Liu, W. K., Karpov, E. G. and Park, H. S. (2006) Introduction to Bridging Scale, in Nano Mechanics and Materials: Theory, Multiscale Methods and Applications, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470034106.ch6

Author Information

  1. 1

    Northwestern University, Illinois, USA

  2. 2

    Vanderbilt University, Tennessee, USA

Publication History

  1. Published Online: 16 MAY 2006
  2. Published Print: 13 JAN 2006

ISBN Information

Print ISBN: 9780470018514

Online ISBN: 9780470034101

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Keywords:

  • bridging scale;
  • multiscale equations of motion;
  • damping kernel;
  • lattice mechanics concepts;
  • inverse Fourier transform (IFT);
  • impedance force boundary condition;
  • damping kernel technique;
  • virtual atom cluster (VAC) method;
  • coarse scale equation

Summary

This chapter contains sections titled:

  • Bridging Scale Fundamentals

  • Removing Fine Scale Degrees of Freedom in Coarse Scale Region

  • Discussion on the Damping Kernel Technique

  • Cauchy–Born Rule

  • Virtual Atom Cluster Method

  • Staggered Time Integration Algorithm

  • Summary of Bridging Scale Equations

  • Discussion on the Bridging Scale Method