Coarsen Graining: A Renewal Concept of Efficient Adaptivity Techniques for Multiscale Models

Shih-Wei, Yang; Pattabhi Ramaiah, Budarapu; Roy Mahapatra, Debiprasad; Bordas, Stéphane; Pierre, Kerfriden; Timon, Rabczuk

Reference : Coarsen Graining: A Renewal Concept of Efficient Adaptivity Techniques for Multiscale...


	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/13939

Title :	Coarsen Graining: A Renewal Concept of Efficient Adaptivity Techniques for Multiscale Models
Language :	English
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 [> >]
Publication date :	Undated
Journal title :	Computer Methods in Applied Mechanics & Engineering
Peer reviewed :	Yes
Audience :	International
Keywords :	[en] DRKP ; Meshless methods ; multiscale
Abstract :	[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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/13939

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