For example, an approximate equation connecting the two variables for steel is σUTS (psi) = 500 HB, where HB is the Brinell hardness. In addition, theory has shown that the hardness value (H) is related to the yield stress of metals through the formula H = 3σ0 and this relationship...
depending on the grain size and phases sampled by each indentation as shown inTable 5. Hardness decreased with increasing distance from the stir zone. The hardness of the stirzone and HAZ is found to be much higher than that of the base material, this may be due to grain refinement or du...
However, importantly, the calculated fracture toughness values, which were derived using a newly developed semi-empirical equation, agreed well with the experimental results obtained by the authors, as well as with results obtained by other authors....
The results show there is a good correlation between the dislocation density and the yield strength using the Taylor equation. The 伪 parameter in this equation is slightly lower for the higher Mo concentration in accordance with the less clustered dislocation structure....
In comparison, the hardness values obtained in this study for tungsten nanocrystals range from 24.73 to 54.7 GPa, with lower values associated with larger grain sizes. The relationship between grain size and hardness in nanocrystalline metals is typically described by the Hall–Petch equation, which ...
An attempt to create a more accurate model compared to Meyer’s law of load-indentation size is represented by the PSR model based on a polynomial equation of the second order: P = a1d + a2d2, (2) where a1 and a2 are experimental constants, P is the indentation load, and d is th...
The goal is to employ all of these data to derive different equations despite fluctuations in the data because the mentioned parameter will have parametric values that can be changed in the equations; in the end, the best equation is selected based on the predictive values of hardness that are...
Additionally, they found that the grain size effect (or Hall-Petch relation) [133,134] (Equation (3)) is applicable to both the monolayered and multilayered films. H=H0+KdnH=H0+Kdn (3) where H is the hardness (GPa), H0 is the original hardness (GPa), K is a material constant...
size, grain size and plastic zone size on measurements of the fracture mechanics stress intensity, KC: Materials 2011, 4 1288 KC = σK[πc]1/2 = α'Ks1/2[σ0C + kCℓ−1/2] (1) In Equation (1), σK is the applied stress, c is an appropriate pre-crack size, α'K is ...
path;Ris a floating parameter calculated on the basis of best fitting with experimental results,C1is taken from McMeeking’s work as 0.54,E′is the ratio of elastic modulus to Poisson’s ratio,σBis the binder effective flow stress.E′can be calculated by using Equation (4) for plane ...