𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the probabilistic–deterministic transition involved in a fragmentation process of brittle materials

✍ Scribed by François Hild; Christophe Denoual; Pascal Forquin; Xavier Brajer

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
412 KB
Volume
81
Category
Article
ISSN
0045-7949

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

On the loss of information in the transi
On the loss of information in the transition from deterministic systems to probabilistic processes
✍ I. Assani; M. Courbage 📂 Article 📅 1986 🏛 Springer 🌐 English ⚖ 298 KB

In a previous work, Misra, Prigogine, and Courbage obtained Markov processes with a time-increasing entropy functional from unstable deterministic dynamic systems. Here we study the problem of the loss of information under the transition from the deterministic to the probabilistic one. We show that,

Size as a factor in the brittle-ductile
Size as a factor in the brittle-ductile transition and the strength of some materials
✍ Joseph Glucklich; Leslie J. Cohen 📂 Article 📅 1967 🏛 Springer Netherlands 🌐 English ⚖ 766 KB

Attention is called to a new phenomenon: in certain materials, specimen size (or, its energy-storage capacity) influences its brittle-ductile transition and strength. This effect is not the recognized statistical one (which only concerns the nucleation of fracture), blot derives from the strain-ener