Universality behind Basquin's law of fatigue
Universality behind Basquin's law of fatigue
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DOI：
10.1103/physrevlett.100.094301
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发表时间：
2008-03-07
影响因子：
8.6
通讯作者：
Herrmann, H. J.
中科院分区：
文献类型：
--
作者：
Kun, F.;Carmona, H. A.;Herrmann, H. J.
Basquin疲劳定律指出，系统的寿命与外部载荷幅度t（f）具有幂律依赖性，类似于sigma（-alpha）（0），其中指数alpha具有很强的材料依赖性。我们发现，尽管指数α的广泛的分散，非均匀材料的疲劳断裂表现出普遍的特点。我们提出了一个通用的宏观变形的标度形式，并表明，在疲劳极限的系统进行了连续的相变。在微观层面上，疲劳断裂的特点是普遍的幂律分布的突发进行。我们表明，系统相关的细节包含在Basquin的指数故障时间，一旦考虑到这一点，其余功能的故障是普遍的。
Basquin's law of fatigue states that the lifetime of the system has a power-law dependence on the external load amplitude, t(f) similar to sigma(-alpha)(0), where the exponent alpha has a strong material dependence. We show that in spite of the broad scatter of the exponent alpha, the fatigue fracture of heterogeneous materials exhibits universal features. We propose a generic scaling form for the macroscopic deformation and show that at the fatigue limit the system undergoes a continuous phase transition. On the microlevel, the fatigue fracture proceeds in bursts characterized by universal power-law distributions. We demonstrate that the system dependent details are contained in Basquin's exponent for time to failure, and once this is taken into account, remaining features of failure are universal.