caa a22 4500 388018461 CHVBK 20180307124917.0 cr unu---uuuuu 161130e199811 xx s 000 0 eng 10.1557/JMR.1998.0429 doi S088429140004663X pii (NATIONALLICENCE)cambridge-10.1557/JMR.1998.0429 On the fractal nature of crack branching in MgF2 [Elektronische Daten] Nineteen disks of IR window grade, hot pressed magnesium fluoride (˜0% porosity, grain size ˜1 μm) previously loaded in ring-on-ring flexure tests were used to analyze the crack branching patterns. Fractal geometry was used to determine the crack branching fractal dimension which was named the crack branching coefficient or CBC. The failure stress was proportional to the CBC and the number of pieces generated during the fracture. Thus, the number of pieces was proportional to the crack branching coefficient. The crack branching coefficient is distinct from the fractal dimension obtained from the onset of mist and hackle on the fracture surface. The fractal dimension of the fracture surface is, in most cases for brittle materials, a constant and related to the crack tip stress field. The crack branching fractal dimension is a function of the stress at fracture and the far-field stress distribution, or in other words, related to both the type and magnitude of loading. The findings in this work have strong implications for many commercial processes such as comminution, attrition, grinding, and basic studies in crack branching. Copyright © Materials Research Society 1998 Mecholsky J. J. University of Florida, Gainesville, Florida 32611 Linhart Richard University of Florida, Gainesville, Florida 32611 Kwitkin Brian D. University of Florida, Gainesville, Florida 32611 Rice Roy W. 5411 Hopark Drive, Alexandria, Virginia 22310-1109 Journal of Materials Research Cambridge University Press 13/11(1998-11), 3153-3159 0884-2914 13:11<3153 1998 13 JMR https://doi.org/10.1557/JMR.1998.0429 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1557/JMR.1998.0429 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mecholsky J. J. University of Florida, Gainesville, Florida 32611 NATIONALLICENCE 700 1- Linhart Richard University of Florida, Gainesville, Florida 32611 NATIONALLICENCE 700 1- Kwitkin Brian D. University of Florida, Gainesville, Florida 32611 NATIONALLICENCE 700 1- Rice Roy W. 5411 Hopark Drive, Alexandria, Virginia 22310-1109 NATIONALLICENCE 773 0- Journal of Materials Research Cambridge University Press 13/11(1998-11), 3153-3159 0884-2914 13:11<3153 1998 13 JMR CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge