1965
DOI: 10.1115/1.3625865
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Progress in Solid Mechanics, vol. 4

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Cited by 11 publications
(9 citation statements)
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“…Using relations developed by Sneddon, [17] the contact area, in turn, may be related to the measured contact stiffness, S, by S = 2bE r (A/p) 1/2 , where b is a constant that depends on the geometry of the indenter (b = 1.034 for a Berkovich indenter) and E r is the reduced elastic modulus given by 1/E r = (1 À m 2 )/E + (1 À m i 2 )/E i , where E and m are the elastic modulus and Poisson's ratio for the sample, respectively, and E i and m i are the same quantities for the indenter. All parameters were calculated with the inbuilt software in the instrument.…”
Section: Methodsmentioning
confidence: 99%
“…Using relations developed by Sneddon, [17] the contact area, in turn, may be related to the measured contact stiffness, S, by S = 2bE r (A/p) 1/2 , where b is a constant that depends on the geometry of the indenter (b = 1.034 for a Berkovich indenter) and E r is the reduced elastic modulus given by 1/E r = (1 À m 2 )/E + (1 À m i 2 )/E i , where E and m are the elastic modulus and Poisson's ratio for the sample, respectively, and E i and m i are the same quantities for the indenter. All parameters were calculated with the inbuilt software in the instrument.…”
Section: Methodsmentioning
confidence: 99%
“…The power dissipation map was composed of various η values at different deformation temperatures and strain rates. Based on the extremum principle of irreversible thermodynamics, the instability criterion that was applied to the large plastic flow was given by Equation (6) [ 25 ].…”
Section: Resultsmentioning
confidence: 99%
“…For the as-deposited TiC film single contact between the indenter tip and a homogeneous, investigated here, the maximum indentation depth of the perfectly elastic material having a smooth surface. [24] These smallest indentation exceeds the rms roughness by a factor assumptions become more difficult to meet as the size of of 22 and it can be assumed that the hardness values obtained the indentations decreases, for the following reasons:…”
Section: A Load-variation Methodsmentioning
confidence: 99%
“…Thus, for materials having a high ratio of yield stress ( y ) to Young's modulus (E ), e.g., rubber, the elastic properties will dominate the contact hardness rather than the plastic properties, in contrast to the traditional hardness, where the elastic properties do not influence the hardness value determined. For metals, however, the ratio y /E, and thus the If the initial deformation upon unloading is purely elastic, the reduced elastic modulus E r can be described by [24] B. Roughness…”
Section: Hardness Measurements and Data Evaluationmentioning
confidence: 99%