Fracture roughness in three-dimensional beam lattice systems

Phani K.V.V. Nukala, Pallab Barai, Stefano Zapperi, Mikko J. Alava, Srdan Simunovic

Research output: Contribution to journalArticleScientificpeer-review

13 Citations (Scopus)
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Abstract

We study the scaling of three-dimensional crack roughness using large-scale beam lattice systems. Our results for prenotched samples indicate that the crack surface is statistically isotropic, with the implication that experimental findings of anisotropy of fracture surface roughness in directions parallel and perpendicular to crack propagation is not due to the scalar or vectorial elasticity of the model. In contrast to scalar fuse lattices, beam lattice systems do not exhibit anomalous scaling or an extra dependence of roughness on system size. The local and global roughness exponents (ζloc and ζ, respectively) are equal to each other, and the three-dimensional crack roughness exponent is estimated to be ζloc=ζ=0.48±0.03. This closely matches the roughness exponent observed outside the fracture process zone. The probability density distribution p[Δh(ℓ)] of the height differences Δh(ℓ)=[h(x+ℓ)−h(x)] of the crack profile follows a Gaussian distribution, in agreement with experimental results.
Original languageEnglish
Article number026103
Pages (from-to)1-10
JournalPhysical Review B
Volume82
Issue number2
DOIs
Publication statusPublished - 2010
MoE publication typeA1 Journal article-refereed

Keywords

  • fracture roughness

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