Reference : Statistical extraction of process zones and representative subspaces in fracture of r...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/10066

Title :	Statistical extraction of process zones and representative subspaces in fracture of random composites
Language :	English
Author, co-author :	Kerfriden, P. [Cardiff University, School of Engineering, Queen's Buildings, The Parade, Cardiff CF24 3AA, United Kingdom > Institute of Mechanics and Advanced Materials]
	Schmidt, K. M. [Cardiff University, School of Mathematics, Senghennydd Road, Cardiff CF24 4AG, United Kingdom]
	Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423 Weimar, Germany]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	2013
Journal title :	International Journal for Multiscale Computational Engineering
Volume :	11
Issue/season :	3
Special issue title :	Multiscale Methods in Fracture Mechanics with Extended/Generalized Finite Elements
Pages :	253-287
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	15431649
Keywords :	[en] Adaptive proper orthogonal decomposition ; Cross-validation ; Domain decomposition ; Fracture of particulate composites ; Greedy algorithm ; Process zone ; Cross validation ; Domain decompositions ; Greedy algorithms ; Particulate composites ; Algorithms ; Domain decomposition methods ; Principal component analysis ; Random processes ; Spectrum analysis ; Statistical mechanics ; Fracture
Abstract :	[en] We propose to identify process zones in heterogeneous materials by tailored statistical tools. The process zone is redefined as the part of the structure where the random process cannot be correctly approximated in a low-dimensional deterministic space. Such a low-dimensional space is obtained by a spectral analysis performed on precomputed solution samples. A greedy algorithm is proposed to identify both process zone and low-dimensional representative subspace for the solution in the complementary region. In addition to the novelty of the tools proposed in this paper for the analysis of localized phenomena, we show that the reduced space generated by the method is a valid basis for the construction of a reduced-order model. © 2013 by Begell House, Inc.
Target :	Researchers ; Professionals ; Students ; Others
Permalink :	http://hdl.handle.net/10993/10066
DOI :	10.1615/IntJMultCompEng.2013005939
Framework Programme / European Project :	FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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