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Open AccessArticle

A Model for Determining Strength for Embedded Elliptical Crack in Ultra-high-temperature Ceramics

by Ruzhuan Wang 1 and Weiguo Li 1,2,*
1
Chongqing Key Laboratory of Heterogeneous Material Mechanics, College of Aerospace Engineering, Chongqing University, Chongqing 400030, China
2
State Key Lab for Strength and Vibration of Mechanical Structures, Xi\'an Jiaotong University, Xi'an 710049, China
*
Author to whom correspondence should be addressed.
Academic Editor: Mark Whittaker
Materials 2015, 8(8), 5018-5027; https://doi.org/10.3390/ma8085018
Received: 3 June 2015 / Revised: 23 July 2015 / Accepted: 28 July 2015 / Published: 5 August 2015
(This article belongs to the Special Issue Failure Analysis in Materials)
A fracture strength model applied at room temperature for embedded elliptical crack in brittle solid was obtained. With further research on the effects of various physical mechanisms on material strength, a thermo-damage strength model for ultra-high-temperature ceramics was applied to each temperature phase. Fracture strength of TiC and the changing trends with elliptical crack shape variations under different temperatures were studied. The study showed that under low temperature, the strength is sensitive to the crack shape variation; as the temperature increases, the sensitivities become smaller. The size of ellipse’s minor axes has great effect on the material strength when the ratio of ellipse’s minor and major axes is lower than 0.5, even under relatively high temperatures. The effect of the minor axes of added particle on material properties thus should be considered under this condition. As the crack area is set, the fracture strength decreases firstly and then increases with the increase of ratio of ellipse’s minor and major axes, and the turning point is 0.5. It suggests that for the added particles the ratio of ellipse’s minor and major axes should not be 0.5. All conclusions significantly coincided with the results obtained by using the finite element software ABAQUS. View Full-Text
Keywords: embedded elliptical crack; ultra-high-temperature ceramics; fracture strength; theoretical model; ABAQUS embedded elliptical crack; ultra-high-temperature ceramics; fracture strength; theoretical model; ABAQUS
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Wang, R.; Li, W. A Model for Determining Strength for Embedded Elliptical Crack in Ultra-high-temperature Ceramics. Materials 2015, 8, 5018-5027.

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