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Carbon Nanotube Reinforced Composites: Metal and Ceramic ...

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7<br />

Mechanical Properties of <strong>Carbon</strong> <strong>Nanotube</strong>–<strong>Ceramic</strong><br />

Nanocomposites<br />

7.1<br />

Fracture Toughness<br />

Mechanical strength, hardness <strong>and</strong> fracture toughness are key parameters in<br />

the materials selection process for ceramic materials. <strong>Ceramic</strong>s are attractive<br />

structural materials for engineering applications because of their high mechanical<br />

strength. However, ceramics are brittle as a result of their high resistance to<br />

dislocation slip. Designing to prevent catastrophic failure of ceramic materials under<br />

the application of external stresses requires a fundamental knowledge of their<br />

fracture mechanisms.<br />

Fracture toughness is fundamental design property of materials containing cracks<br />

that undergo fracture as a result of unstable crack propagation. A fracture mechanics<br />

approach is developed to assess the materials resistance to fracture in the presence of a<br />

crack. Linear elastic fracture mechanics (LEFM) is used to evaluate the toughness of<br />

brittle materials that fracture in elastic deformation regime. In this approach, stress<br />

intensity factor (K) is used to characterize the magnitude of stress field at a crack tip<br />

during mechanical loading. The critical value of the stress intensity factor resulting<br />

from unstable crack propagation <strong>and</strong> final failure of the materials under tensile mode<br />

is termed as fracture toughness or K IC. Most ceramic materials suffer fracture before<br />

the onset of plastic deformation. The fracture toughness of ceramics can be determined<br />

experimentally using different specimen configurations, such as single edge<br />

precracked beam (SEPB), single edge notched (SENB), single edge V-notched beam<br />

(SEVNB) <strong>and</strong> chevron notched beam (CNB). Such specimens are mechanically loaded<br />

under three-point or four-point flexural conditions [1–6]. These measurements can<br />

give bending strength <strong>and</strong> true fracture toughness values that can be accurately<br />

reproduced. Further, SEPB, SEVNB <strong>and</strong> CNB measurements have been accepted as<br />

st<strong>and</strong>ard test methods by the American Society for Testing <strong>and</strong> Materials (ASTM).<br />

Generally, a pre-existing sharp crack must be made in specimens prior to the fracture<br />

toughness measurements. For instance, SEPB specimens are pre-cracked in a<br />

specially designed bridge–anvil tool under a compressive load. This yields quite a<br />

large crack tip radius over the entire width. Thus, the geometry of the crack is difficult<br />

to control. For SENB specimens, the pre-crack can be simply made by using a diamond<br />

j185

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