Journal
COMPUTERS & STRUCTURES
Volume 81, Issue 12, Pages 1241-1253Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0045-7949(03)00039-7
Keywords
brittle materials; continuum damage mechanics; discrete modeling; dynamic fracture; probability and statistics; single and multiple fragmentation; stress relaxation; Weibull model
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Dynamic loadings produce high stress waves leading to the fragmentation of brittle materials such as ceramics, concrete, glass and rocks. The main mechanism used to explain the change of the number of fragments with stress rate is a shielding phenomenon. However, under quasi-static loading conditions, a weakest link hypothesis may be applicable. Therefore, depending on the local strain or stress rate, different fragmentation regimes are observed. One regime corresponds to single fragmentation for which a probabilistic approach is needed. Conversely, the multiple fragmentation regime may be described by a deterministic approach. The transition between the two fragmentation regimes is discussed for high performance concrete, glass and SiC ceramics. (C) 2003 Elsevier Science Ltd. All rights reserved.
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