Geometry and microstructure parameters to predict fracture at notches in a polycrystalline material

Yang, Shuangge; Zhang, Chunguo

doi:10.1016/j.jeurceramsoc.2022.05.055

Cited by 6 publications

(3 citation statements)

References 52 publications

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“…where K c is the critical stress intensity factor, K Ic is the fracture toughness, σ 0 is the inherent strength (tensile strength in general, and flexural strength for ceramics), ρ is the U-notch root radius and l ch is the characteristic length. Yang et al 17 connected the strength-controlled fracture criterion and the fracture toughness-controlled fracture criterion in the field of fracture through the intersection of the characteristic crack size (a ch ). Since the a ch can be written as l ch /(1.12 2 π), here we classify this model as the L chb criterion for discussion, and the specific expression is…”

Section: Characteristic Length-based (L Chb ) Criterionmentioning

confidence: 99%

“…This section will discuss the prediction accuracy of the two types of classical failure criteria ( L chb and G b 15 ) over a wider range of ρ which values from micrometers to millimeters. Among them, the L chb criteria were put forward by Gómez and Guinea 8 and improved by Yang and Zhang 17 and Chen and Fan 18 . Among them, the Gómez and Yang models were theoretical models, whereas the Chen criterion was semiempirical because the H value in this model was based on the fitting results.…”

Section: Applicability Analysis For the Reported Failure Criteriamentioning

confidence: 99%

“…Yang et al 17 . connected the strength‐controlled fracture criterion and the fracture toughness‐controlled fracture criterion in the field of fracture through the intersection of the characteristic crack size ( a ch ).…”

Section: Applicability Analysis For the Reported Failure Criteriamentioning

confidence: 99%

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Failure criterion for brittle materials with U‐notches: Unification of characteristic length‐based and grain size‐based criteria

Wang

Liu

et al. 2023

J Am Ceram Soc.

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Here, the limitations of characteristic length‐based (Lchb) and grain size‐based (Gb) criteria with two or three parameters were pointed out employing the apparent toughness tests of 12 different ceramics at a large span range of U‐notch root radius (ρ) values. After comprehensively considering the potential influencing factors of stress intensity factor (Kc), ρ divided by critical notch tip radius (ρc) was proposed as the independent variable, and the data of 21 materials (covering ceramics, plastics, resins, rocks, and metals) was summarized and discussed to establish a simple and more applicable Kc prediction model. Results indicated that Kc/KIc was a power function of ρ/ρc with a power exponent n of 0.5 for ideal materials and less than 0.5 for actual materials. It was also found that ρc can be calculated simply by KIc2/(πσ02), where σ0 represented the inherent strength. This semiempirical criterion succeeded in unifying the Lchb and Gb criteria without introducing more parameters to increase the prediction accuracy of the Kc at the U‐notch root for brittle materials like ceramics.

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Section: Characteristic Length-based (L Chb ) Criterionmentioning

confidence: 99%