2018
DOI: 10.1016/j.cossms.2018.04.001
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Predicting whether a material is ductile or brittle

Abstract: In this paper we discuss the various models that have been used to predict whether a material will tend to be ductile or brittle. The most widely used is the Pugh ratio, G/K, but we also examine the Cauchy pressure as defined by Pettifor, a combined criterion proposed by Niu, the Rice and Thomson model, the Rice model, and the Zhou-Carlsson-Thomson model. We argue that no simple model that works on the basis of simple relations of bulk polycrystalline properties can represent the failure mode of different mate… Show more

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Cited by 76 publications
(29 citation statements)
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“…The former property unequivocally suggests the ductile nature of these materials, and the positive nature of C P is expected of any ductile metals, such as Ni or Al, for example (Kamran et al, 2009;Ivanovskii, 2012). This may be consistent with the observation that materials that feature metallic bonding exhibit a positive Cauchy pressure (Thompson and Clegg, 2018). From the mean values of Poisson's ratio σ (values between 0.32 and 0.38 in Table S6), it is obvious that the chemical bonding between metal ions and Cl is increasingly ionic across the series from Cs 2 AgRhCl 6 to Rb 2 AgRhCl 6 to K 2 AgRhCl 6 to Li 2 AgRhCl 6 , given that σ is close to 0.1 -0.28 for covalent materials (Haines et al, 2001).…”
Section: Mechanical (Elastic) Propertiessupporting
confidence: 71%
“…The former property unequivocally suggests the ductile nature of these materials, and the positive nature of C P is expected of any ductile metals, such as Ni or Al, for example (Kamran et al, 2009;Ivanovskii, 2012). This may be consistent with the observation that materials that feature metallic bonding exhibit a positive Cauchy pressure (Thompson and Clegg, 2018). From the mean values of Poisson's ratio σ (values between 0.32 and 0.38 in Table S6), it is obvious that the chemical bonding between metal ions and Cl is increasingly ionic across the series from Cs 2 AgRhCl 6 to Rb 2 AgRhCl 6 to K 2 AgRhCl 6 to Li 2 AgRhCl 6 , given that σ is close to 0.1 -0.28 for covalent materials (Haines et al, 2001).…”
Section: Mechanical (Elastic) Propertiessupporting
confidence: 71%
“…In other words, CsPbI 3 can withstand fracture longer than CsPbBr 3 and CsPbCl 3 under compression. Their deformation behavior can also be quantified by measuring Pugh ratio and normalized Cauchy pressure [53]. The Pugh ratio criterion [54] suggests that the materials show ductile nature when B/G ratio is greater than 1.75; otherwise, they exhibit brittle nature.…”
Section: Resultsmentioning
confidence: 99%
“…These empirical observations implicate G/B as explaining well brittle or tough behaviour [19,26]. Pugh's criterion is the most widely used model to predict plastic behaviour of materials [27].…”
Section: Elasticity and Ductility Criteriamentioning
confidence: 99%