[en] This paper presents a multiscale method for the quasi-static crack propagation. The coarse
region is modeled by the di erential reproducing kernel particle(DRKP) method. The coupling
between the coarse scale and ne scale is realized through ghost atoms. The ghost atoms
positions are interpolated from the coarse scale solution and enforced as boundary conditions
on the ne scale. The ne scale region is adaptively enlarged as the crack propagates and the
region behind the crack tip is adaptively coarsened. The centro symmetry parameter(CSP) is
used to detect the crack tip location. The triangular lattice corresponds to the lattice structure
of the (111) plane of an FCC crystal in the ne scale region. The Lennard-Jones potential is
used to model the atom-atom interactions. The method is implemented in two dimensions. The
results are compared to pure atomistic simulations and show excellent agreement.
Disciplines :
Mechanical engineering
Author, co-author :
Shih-Wei, Yang; Institute of Structural Mechanics > Bauhaus University of Weimar
Pattabhi Ramaiah, Budarapu; Institute of Structural Mechanics > Bauhaus University of Weimar
Roy Mahapatra, Debiprasad; Indian Institute of Science, Bangalore > Department of Aerospace Engineering
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Pierre, Kerfriden; Cardiff University > Institute of Mechanics and Advanced Materials
Timon, Rabczuk
External co-authors :
yes
Language :
English
Title :
Coarsen Graining: A Renewal Concept of Efficient Adaptivity Techniques for Multiscale Models
Publication date :
n.d.
Journal title :
Computer Methods in Applied Mechanics and Engineering
