NUMERICAL SIMULATIONS OF BURST PROCESSES IN FIBER-BUNDLES

We discuss a very effective numerical method for simulating fibre-bundle models with equal load-sharing and with local load-sharing. Particular attention is paid to the case of the local load-sharing model, in which the critical load x(c) is defined as the average load per fibre that causes the final complete failure. It is shown that x(c) --> 0 when the size of the system N --> infinity. We also show analytically that the power law of the burst size distribution, D(Delta) alpha Delta(-xi), is approximately correct. The exponent xi in the local load-sharing case is not universal, since it depends on the strength distribution as well on as the size of the system.