Multiscale aggregating discontinuities: A method for circumventing loss of material stability Export

@article{citeulike:1616764, abstract = {New methods for the analysis of failure by multiscale methods that invoke unit cells to obtain the subscale response are described. These methods, called multiscale aggregating discontinuities, are based on the concept of ?perforated? unit cells, which exclude subdomains that are unstable, i.e. exhibit loss of material stability. Using this concept, it is possible to compute an equivalent discontinuity at the coarser scale, including both the direction of the discontinuity and the magnitude of the jump. These variables are then passed to the coarse-scale model along with the stress in the unit cell. The discontinuity is injected at the coarser scale by the extended finite element method. Analysis of the procedure shows that the method is consistent in power and yields a bulk stress-strain response that is stable. Applications of this procedure to crack growth in heterogeneous materials are given. Copyright {\copyright} 2007 John Wiley \& Sons, Ltd.}, address = {Theoretical and Applied Mechanics, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111, U.S.A.; Institute of Mechanics and Computational Mechanics, Leibniz University Hannover, Appelstr. 9A, 30167 Hannover, Germany}, author = {Belytschko, Ted and Loehnert, Stefan and Song, Jeong-Hoon}, citeulike-article-id = {1616764}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/nme.2156}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/116310129/ABSTRACT}, doi = {10.1002/nme.2156}, journal = {International Journal for Numerical Methods in Engineering}, keywords = {debonding}, number = {9999}, pages = {n/a+}, posted-at = {2007-09-03 22:17:38}, priority = {5}, title = {Multiscale aggregating discontinuities: A method for circumventing loss of material stability}, url = {http://dx.doi.org/10.1002/nme.2156}, volume = {9999}, year = {2007} }

TY - JOUR ID - citeulike:1616764 L3 - citeulike-article-id:1616764 N2 - New methods for the analysis of failure by multiscale methods that invoke unit cells to obtain the subscale response are described. These methods, called multiscale aggregating discontinuities, are based on the concept of ?perforated? unit cells, which exclude subdomains that are unstable, i.e. exhibit loss of material stability. Using this concept, it is possible to compute an equivalent discontinuity at the coarser scale, including both the direction of the discontinuity and the magnitude of the jump. These variables are then passed to the coarse-scale model along with the stress in the unit cell. The discontinuity is injected at the coarser scale by the extended finite element method. Analysis of the procedure shows that the method is consistent in power and yields a bulk stress-strain response that is stable. Applications of this procedure to crack growth in heterogeneous materials are given. Copyright © 2007 John Wiley & Sons, Ltd. IS - 9999 JF - International Journal for Numerical Methods in Engineering AD - Theoretical and Applied Mechanics, Northwestern University, 2145 Sheridan Road, Evanston, IL 60208-3111, U.S.A.; Institute of Mechanics and Computational Mechanics, Leibniz University Hannover, Appelstr. 9A, 30167 Hannover, Germany TI - Multiscale aggregating discontinuities: A method for circumventing loss of material stability VL - 9999 SP - n/a KW - debonding AU - Belytschko, Ted AU - Loehnert, Stefan AU - Song, Jeong-Hoon PY - 2007/// UR - http://dx.doi.org/10.1002/nme.2156 ER -