%0 Book Section %1 statphys23_0249 %A Alava, M.J. %A Nukala, P.K.V.V. %A Zapperi, S. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K fracture fuse model random statphys23 topic-4 %T Disorder and the statistical physics of size-scaling of material strength %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=249 %X The sample-size dependence of the strength of materials is an old problem that is best treated with statistical mechanics. We have recently analyzed its basics using the Random Fuse Model (1) and scaling arguments 2. These allow to connect the classical results using extremal statistics for disordered but statistically homogeneous systems 3 to ones with defects. This can also be interpreted as a crossover between a disorder-induced statistical regime and a regime controlled by the stress-concentration of the defect. The long-range elastic field enhancement of such defects is revealed by the simulations to be partially screened by dynamically created disorder or damage. The numerical results follow a scaling law, which contains the screening effect in a statistical sense, as a statistical fracture process zone in the fracture mechanics language. The results are compared to experimental data from paper samples. 1) M.J. Alava, P.K.K.V. Nukala, and S. Zapperi, Adv. Phys. 55, 349 (2006).\\ 2) M.J. Alava, P.K.K.V. Nukala, and S. Zapperi, submitted for publication.\\ 3) P.M. Duxbury et al., Phys. Rev. Lett. 57, 1052 (1986).

@incollection{statphys23_0249, abstract = {The sample-size dependence of the strength of materials is an old problem that is best treated with statistical mechanics. We have recently analyzed its basics using the Random Fuse Model ([1]) and scaling arguments [2]. These allow to connect the classical results using extremal statistics for disordered but statistically homogeneous systems [3] to ones with defects. This can also be interpreted as a crossover between a disorder-induced statistical regime and a regime controlled by the stress-concentration of the defect. The long-range elastic field enhancement of such defects is revealed by the simulations to be partially screened by dynamically created disorder or damage. The numerical results follow a scaling law, which contains the screening effect in a statistical sense, as a statistical fracture process zone in the fracture mechanics language. The results are compared to experimental data from paper samples. 1) M.J. Alava, P.K.K.V. Nukala, and S. Zapperi, Adv. Phys. 55, 349 (2006).\\ 2) M.J. Alava, P.K.K.V. Nukala, and S. Zapperi, submitted for publication.\\ 3) P.M. Duxbury et al., Phys. Rev. Lett. 57, 1052 (1986).}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Alava, M.J. and Nukala, P.K.V.V. and Zapperi, S.}, biburl = {https://www.bibsonomy.org/bibtex/2a8e20fecd11507ba2554b228564522a0/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {2d18a344e2c0f40cca56bbac3cd996a9}, intrahash = {a8e20fecd11507ba2554b228564522a0}, keywords = {fracture fuse model random statphys23 topic-4}, month = {9-13 July}, timestamp = {2007-06-20T10:16:15.000+0200}, title = {Disorder and the statistical physics of size-scaling of material strength}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=249}, year = 2007 }