Roy Subhadeep, Hatano Takahiro, Ray Purusattam
PoreLab, Department of Physics, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway.
Department of Earth and Space Science, Osaka University, 560-0043 Osaka, Japan.
Phys Rev E. 2022 May;105(5-2):055003. doi: 10.1103/PhysRevE.105.055003.
Various kinds of heterogeneity in solids, including atomistic discreteness, affect the fracture strength as well as the failure dynamics remarkably. Here we study the effects of an initial crack in a discrete model for fracture in heterogeneous materials, known as the fiber bundle model. We find three distinct regimes for fracture dynamics depending on the initial crack size. If the initial crack is smaller than a certain value, it does not affect the rupture dynamics and the critical stress, while for a larger initial crack, the growth of the crack leads to breakdown of the entire system, and the critical stress depends on the crack size in a power-law manner with a nontrivial exponent. The exponent, as well as the limiting crack size, depend on the strength of heterogeneity and the range of stress relaxation in the system.
固体中的各种非均匀性，包括原子离散性，对断裂强度以及失效动力学都有显著影响。在此，我们研究了非均匀材料断裂离散模型（即纤维束模型）中初始裂纹的影响。我们发现，根据初始裂纹尺寸，断裂动力学存在三种不同的状态。如果初始裂纹小于某个值，它不会影响破裂动力学和临界应力，而对于较大的初始裂纹，裂纹的扩展会导致整个系统的破坏，并且临界应力以幂律方式依赖于裂纹尺寸，其指数非平凡。该指数以及极限裂纹尺寸取决于非均匀性的强度和系统中应力松弛的范围。
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