局部负载分担纤维束中发射能量的尺寸分布
Size distribution of emitted energies in local load sharing fiber bundles
摘要：
研究了局部负载分担纤维束模型及其能量突发统计特性。虽然它是已知的模型的雪崩大小分布是指数，我们在这里数值表明，雪崩大小（$s$）和相应的能量爆发（$E$）在这个版本的模型有一个非线性关系（$E\sim s^γ$）。数值结果表明，$γ\approx 2.5$对不同的失效阈值分布具有普遍性.通过这种数值观测，可以表明能量爆发分布是幂律的，具有普适指数值$-(γ+1)$。
英文摘要：
We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size ($s$) and the corresponding energy burst ($E$) in this version of the model have a non-linear relation ($E\sim s^γ$). Numerical results indicate that $γ\approx 2.5$ universally for different failure threshold distributions. With this numerical observation, it is then possible to show that the energy burst distribution is a power law, with a universal exponent value of $-(γ+1)$.
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