Phase transitions in load transfer models of fracture
نویسندگان
چکیده
منابع مشابه
1 6 M ar 2 00 1 Phase Transitions in Load Transfer Models of Fracture
The possible paralelism existing between phase transitions and fracture in disordered materials, is discussed using the well-known Fiber Bundle Models and a probabilistic approach suited to smooth fluctuations near the critical point. Two limiting cases of load redistribution are analyzed: the global transfer scheme, and the local transfer rule. The models are then studied and contrasted by def...
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The time to failure, T, of dynamical models of fracture for a hierarchical load-transfer geometry is studied. Using a probabilistic strategy and juxtaposing hierarchical structures of height n, we devise an exact method to compute T, for structures of height n+1. Bounding T, for large n, we are able to deduce that the time to failure tends to a nonzero value when n tends to infinity. This numer...
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A probabilistic method for solving time-dependent load-transfer models of fracture is developed. It is applicable to any rule of load redistribution, i.e., local, hierarchical, etc. In the new method, the fluctuations are generated during the breaking process ~annealed randomness! while in the usual method, the random lifetimes are fixed at the beginning ~quenched disorder!. Both approaches are...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2001
ISSN: 0378-4371
DOI: 10.1016/s0378-4371(01)00018-8