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Updated: Jun 8, 2026

Fragility Assessment of Bovine Cortical Bone Using Scratch Tests

Fragility Assessment of Bovine Cortical Bone Using Scratch Tests

Published on: November 30, 2017

Fracture roughness in three-dimensional beam lattice systems.

Phani K V V Nukala¹, Pallab Barai, Stefano Zapperi

¹Oak Ridge National Laboratory, Oak Ridge, TN 37831-6164, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 28, 2010

Summary

This study on three-dimensional crack roughness in beam lattice systems reveals statistically isotropic crack surfaces. The findings suggest crack roughness is independent of system size, with a consistent roughness exponent.

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Last Updated: Jun 8, 2026

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Area of Science:

Physics
Materials Science
Fracture Mechanics

Background:

Understanding three-dimensional crack roughness is crucial for material science and fracture mechanics.
Previous models suggested anisotropy in fracture surface roughness, but the underlying causes were debated.

Purpose of the Study:

To investigate the scaling of three-dimensional crack roughness using large-scale beam lattice systems.
To determine if crack surface roughness exhibits anisotropy and its dependence on system size.

Main Methods:

Utilized large-scale beam lattice systems to simulate crack propagation.
Analyzed crack surface statistics, including height differences and roughness exponents.

Main Results:

Demonstrated that crack surfaces in beam lattice systems are statistically isotropic.
Found no anomalous scaling or dependence of roughness on system size, unlike scalar fuse lattices.
Estimated the three-dimensional crack roughness exponent (ζ) to be 0.48±0.03, matching external observations.
Observed a Gaussian distribution for crack profile height differences.

Conclusions:

The statistical isotropy of crack surfaces implies that experimental anisotropy findings are not due to the elasticity of the model.
Beam lattice systems provide a more accurate representation of crack roughness scaling.
The results align with experimental observations of crack profiles and roughness exponents.