%0 Book Section %1 statphys23_0080 %A Herrmann, H. %A Kun, P. %A Wittel, F. %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 fatigue fragmentation statphys23 topic-4 %T Fragmentation and Fatigue %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=80 %X The fragmentation of brittle solids under impact or explosion produces power-law distributed fragment size distributions above a critical energy. Considering two-dimensional objects embedded in 3d gives a new class of universal exponents as we will show experimentally with egg shells and numerically in DEM simulations. In addition we reveal self-affinity in the fragment shapes for specific materials, like glass. Under subcritical loads fragmentation is a consequence of damage accumulation. Experiments as performed with asphalt samples in a Brazil test give the empirical Basquin law for the failure time. We derive this law using a fibre bundle model that includes fatigue and healing. We also obtain a universal power-law distribution for the local failure events and for the time between bursts.

@incollection{statphys23_0080, abstract = {The fragmentation of brittle solids under impact or explosion produces power-law distributed fragment size distributions above a critical energy. Considering two-dimensional objects embedded in 3d gives a new class of universal exponents as we will show experimentally with egg shells and numerically in DEM simulations. In addition we reveal self-affinity in the fragment shapes for specific materials, like glass. Under subcritical loads fragmentation is a consequence of damage accumulation. Experiments as performed with asphalt samples in a Brazil test give the empirical Basquin law for the failure time. We derive this law using a fibre bundle model that includes fatigue and healing. We also obtain a universal power-law distribution for the local failure events and for the time between bursts.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Herrmann, H. and Kun, P. and Wittel, F.}, biburl = {https://www.bibsonomy.org/bibtex/22c3b432aefd662637ee49961efb8df0b/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {650908d8f3ee1b9faa578fba3a899984}, intrahash = {2c3b432aefd662637ee49961efb8df0b}, keywords = {fatigue fragmentation statphys23 topic-4}, month = {9-13 July}, timestamp = {2007-06-20T10:16:11.000+0200}, title = {Fragmentation and Fatigue}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=80}, year = 2007 }