journal article·2023-06

Discrete crack mechanics of disk compression for measurement of low fracture toughness

Mohammad Alabdullah, Andrew Sheng, Nasr Ghoniem

International Journal of Fracture· Volume 241· Issue 2
Publisher page

Abstract

Diametral compression of pre-notched disks is shown to predict the fracture toughness of very brittle materials from the relationship between the crack arrest position and the imposed loading displacement. The discrete crack mechanics method (DCM), which is based on a representation of planar cracks by a discrete set of Volterra dislocations, is used to accurately predict crack growth without re-meshing of the disk geometry as the crack grows. The numerical accuracy of the DCM is demonstrated for 2D and 3D crack geometry. The DCM-predicted crack size when it is arrested is compared to experimental data on alumina (Al(_2)O(_3)) and found to be in good agreement. The measured fracture toughness for samples, which contained up to 25% porosity, were found to be (1.99 ext {MPa}sqrt{ ext {m}}) using a 3D model, and (2.1 ext {MPa}sqrt{ ext {m}} ) from 2D simulations.
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Research context

OpenAlex topics: Fatigue and fracture mechanics · High-Velocity Impact and Material Behavior · Numerical methods in engineering

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

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