Quasistatic fractures in brittle media and iterated conformal maps

被引：12

作者：

Barra, Felipe ^{[1
]}

George, H. ^{[1
]}

Hentschel, E. ^{[1
,2
]}

Levermann, Anders ^{[1
]}

Procaccia, Itamar ^{[1
]}

机构：

[1] Department of Chemical Physics, Weizmam Institute of Science, Rehovot, 76100, Israel

[2] Department of Physics, Emory University, Atlanta, GA

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 04期

关键词：

Conformal mapping - Cracks - Crystal lattices - Elasticity - Fracture mechanics - Iterative methods - Laplace transforms - Problem solving - Strain - Surface roughness;

D O I：

10.1103/PhysRevE.65.045101

中图分类号：

学科分类号：

摘要：

We study the geometrical characteristic of quasistatic fractures in brittle media, using iterated conformal maps to determine the evolution of the fracture pattern. This method allows an efficient and accurate solution of the Lame´ equations without resorting to lattice models. Typical fracture patterns exhibit increased ramification due to the increase of the stress at the tips. We find the roughness exponent of the experimentally relevant backbone of the fracture pattern, it crosses over from about 0.5 for small scales to about 0.75 for large scales. We propose that this crossover reflects the increased ramification of the fracture pattern. © 2002 The American Physical Society.

引用

页码：1 / 045101