RT Journal Article ID 339f011165d356fa A1 Kerfriden, Pierre A1 Schmidt, K. M. A1 Rabczuk, Timon A1 Bordas, S. P. A. T1 STATISTICAL EXTRACTION OF PROCESS ZONES AND REPRESENTATIVE SUBSPACES IN FRACTURE OF RANDOM COMPOSITES JF International Journal for Multiscale Computational Engineering JO JMC YR 2013 FD 2013-05-02 VO 11 IS 3 SP 253 OP 287 K1 fracture of particulate composites K1 process zone K1 adaptive proper orthogonal decomposition,domain decomposition K1 cross-validation K1 greedy algorithm AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,4c5b137e22f4b830,339f011165d356fa.html