SCAIM Seminar: Christoph Ortner

  • Date: 03/06/2012
  • Time: 12:30
Lecturer(s):
Christoph Ortner
Location: 

University of British Columbia

Topic: 

Construction and (in-) consistency of atomistic-to-continuum coupling methods

Description: 

Abstract:

Continuum mechanics models generally have an astonishing range of validity. For example, nonlinear elasticity can accurately describe the elastic behaviour of crystals even at the sub-grain scale (see talk on Monday). However, crystal defects such as cracks and dislocations are difficult to model quantitatively within CM. By coupling atomistic models of defects with continuum models of elastic far fields one can, in principle, obtain models with near-atomistic accuracy at significantly reduced computational cost. That said, various pitfalls must be overcome in the construction of efficient and reliable coupling mechanisms. In this talk, I will take a numerical analysis approach to this problem  and analyze a sequence of coupling mechanisms in terms of their accuracy relative to their computational cost, which requires a thorough understanding of the consistency errors committed in the coupled models.

Other Information: 

Location: WMAX 110

 

For more information please visit UBC Math Department

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