Coarse-Graining and Renormalization of Atomistic Binding Relations and Universal Macroscopic Cohesive Behavior Export

@misc{citeulike:1234076, abstract = {We present two approaches for coarse-graining interplanar potentials and determining the corresponding macroscopic cohesive laws based on energy relaxation and the renormalization group. We analyze the cohesive behavior of a large---but finite---number of interatomic planes and find that the macroscopic cohesive law adopts a universal asymptotic form. The universal form of the macroscopic cohesive law is an attractive fixed point of a suitably-defined renormalization-group transformation.}, archivePrefix = {arXiv}, author = {Nguyen, O. T. and Ortiz, M.}, citeulike-article-id = {1234076}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0105482}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0105482}, day = {24}, eprint = {cond-mat/0105482}, keywords = {cohesive, crack}, month = {May}, posted-at = {2007-04-18 14:44:05}, priority = {2}, title = {Coarse-Graining and Renormalization of Atomistic Binding Relations and Universal Macroscopic Cohesive Behavior}, url = {http://arxiv.org/abs/cond-mat/0105482}, year = {2001} }

TY - ELEC ID - citeulike:1234076 L3 - citeulike-article-id:1234076 N2 - We present two approaches for coarse-graining interplanar potentials and determining the corresponding macroscopic cohesive laws based on energy relaxation and the renormalization group. We analyze the cohesive behavior of a large---but finite---number of interatomic planes and find that the macroscopic cohesive law adopts a universal asymptotic form. The universal form of the macroscopic cohesive law is an attractive fixed point of a suitably-defined renormalization-group transformation. TI - Coarse-Graining and Renormalization of Atomistic Binding Relations and Universal Macroscopic Cohesive Behavior KW - cohesive KW - crack AU - Nguyen, OT AU - Ortiz, M PY - 2001/May/24/ UR - http://arxiv.org/abs/cond-mat/0105482 ER -