Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

 Siegel der Universität Augsburg

 

Oberseminar Analysis

 

Dr. Julian Braun
University of Warwick
 
spricht am
 
Freitag, 25. Juli 2025
 
um
 
14:10 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Incompleteness of the Sinclair expansion for the elastic field around the crack tip in atomistic fracture models«

Abstract:
The elastic field around a crack opening is known to be described by continuum linearised elasticity in leading order. In this talk, I will present the next term in a rigorous atomistic asymptotic expansion in the case of a Mode III crack in anti-plane geometry. The aim of such an expansion is twofold. First, it shows that the well-known flexible boundary condition expansion due to Sinclair is incomplete, meaning that, in principle, employing it in atomistic fracture simulations is no better than using boundary conditions from continuum linearised elasticity. And secondly, the higher order far-field expansion can be employed as a boundary condition for high-accuracy atomistic simulations.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernd Schmidt

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