Reference : Statistical extraction of process zones and representative subspaces in fracture of r...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
Statistical extraction of process zones and representative subspaces in fracture of random composites
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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
International Journal for Multiscale Computational Engineering
Multiscale Methods in Fracture Mechanics with Extended/Generalized Finite Elements
Yes (verified by ORBilu)
[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
[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.
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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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