2009
DOI: 10.1063/1.3267158
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Toughness scale from first principles

Abstract: We correlate the experimentally measured fracture toughness of 24 metals and ceramics to their quantum mechanically calculated brittleness parameter. The brittleness parameter is defined as the ratio of the elastic energy density needed to spontaneously break bonds in shear versus in tension, and is a primitive-cell property. Under 300 GPa hydrostatic pressure, the model predicts that diamond has smaller brittleness than molybdenum at zero pressure, and thus should deform plastically without cracking at room t… Show more

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Cited by 45 publications
(27 citation statements)
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“…According to the analysis above, ideal strength data (r 0 and s 0 ) of six fcc crystals (Cu, Au, Ni, Pt, Al, and Ir) were collected from literature [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] and are listed in Table I. Since for some metals the reported data are dispersive, here we selected the data of r 0 and s 0 to use in the present study from those obtained, as far as possible, by the same group or with the same method, as identified in bold and underlined in Table I.…”
Section: Computational Detailsmentioning
confidence: 99%
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“…According to the analysis above, ideal strength data (r 0 and s 0 ) of six fcc crystals (Cu, Au, Ni, Pt, Al, and Ir) were collected from literature [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] and are listed in Table I. Since for some metals the reported data are dispersive, here we selected the data of r 0 and s 0 to use in the present study from those obtained, as far as possible, by the same group or with the same method, as identified in bold and underlined in Table I.…”
Section: Computational Detailsmentioning
confidence: 99%
“…21 Several experiments [22][23][24][25][26][27][28] recently claimed that the strengths have approached or even exceeded the ideal strengths calculated by the first principle method. However, raw data of ideal strengths in literature [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] are mostly the ideal cleavage strength (ICS) of low index planes such as f100g, f110g, and f111g and the ideal shear strength (ISS) of f111gh112i and f111gh110i for face-centered-cubic (fcc) crystals. These strength values cannot be simply compared with those measured from the uniaxial loading [22][23][24][25][26][27] or hardness experiments 28 owing to the influence of the competition between fracture along different planes and the obvious normal stress effect for high-strength materials.…”
Section: Introductionmentioning
confidence: 99%
“…Theoretically, the shearability and tensibility are characterized by ideal shear strength and ideal tensile strength . As for the fracture toughness, it is studied by the energy density absorbed by shear deformation and tensile deformation in the process of structural instability . In the following, the ideal shear strength, tensile strength and fracture toughness of β‐Si 3 (C x ,N 1− x ) 4 at different carbon concentration were investigated.…”
Section: Resultsmentioning
confidence: 99%
“…As for the shear strain energy density stored in the unit volume, W shear , it can be calculated as, W normalshear = min shear mode false∫ 0 η ideal Ω normalΩ 0 Tr )( boldτ boldJ T d η boldJ 1 , …”
Section: Methodologies and Materialsmentioning
confidence: 99%
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