From Damage Percolation to Crack Nucleation Through Finite Size Criticality

被引:102
作者
Shekhawat, Ashivni [1 ]
Zapperi, Stefano [2 ,3 ]
Sethna, James P. [1 ]
机构
[1] Cornell Univ, Dept Phys, LASSP, Ithaca, NY 14853 USA
[2] CNR, IENI, I-20125 Milan, Italy
[3] ISI Fdn, I-10126 Turin, Italy
基金
美国国家科学基金会;
关键词
ELECTRICAL BREAKDOWN; FUSE NETWORK; FRACTURE; BUNDLES; MEDIA; TRANSITION; AVALANCHES; DISORDER; FAILURE; MODEL;
D O I
10.1103/PhysRevLett.110.185505
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a unified theory of fracture in disordered brittle media that reconciles apparently conflicting results reported in the literature. Our renormalization group based approach yields a phase diagram in which the percolation fixed point, expected for infinite disorder, is unstable for finite disorder and flows to a zero-disorder nucleation-type fixed point, thus showing that fracture has a mixed first order and continuous character. In a region of intermediate disorder and finite system sizes, we predict a crossover with mean-field avalanche scaling. We discuss intriguing connections to other phenomena where critical scaling is only observed in finite size systems and disappears in the thermodynamic limit.
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页数:5
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