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Anisotropic self-affine properties of experimental fracture surfaces

机译:实验断裂表面的各向异性自仿射特性

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The scaling properties of post-mortem fracture surfaces of brittle (silica glass), ductile (aluminum alloy) and quasi-brittle (mortar and wood) materials have been investigated. These surfaces,, studied far from the initiation, were shown to be self-affine. However, the Hurst exponent measured along the crack direction is found to be different from the one measured along the propagation direction. More generally, a complete description of the scaling properties of these surfaces call for the use of the two-dimensional (2D) height-height correlation function that involves three exponents zeta approx = 0.75, beta approx = 0.6 and zeta approx = 1.25 independent of the material considered as well as of the crack growth velocity. These exponents are shown to correspond to the roughness, growth and dynamic exponents respectively, as introduced in interface growth models. They are conjectured to be universal.
机译:研究了脆性(石英玻璃),韧性(铝合金)和准脆性(砂浆和木材)材料的事后断裂表面的结垢特性。这些表面(从起步阶段开始研究很远)被证明是自仿射的。然而,发现沿着裂纹方向测量的赫斯特指数不同于沿着传播方向测量的赫斯特指数。更一般地,对这些表面的缩放特性的完整描述要求使用二维(2D)高度-高度相关函数,该函数涉及三个指数zeta近似= 0.75,β近似= 0.6和zeta近似= 1.25,与所考虑的材料以及裂纹扩展速度。这些指数显示分别对应于界面增长模型中引入的粗糙度,增长和动态指数。他们被认为是普遍的。

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