Usually this formula is written more simply as (7.4)σ=Pcosϕcosλ/A where λ is the angle between the slip direction OT and the axis of tension. It can be seen that the resolved shear stress has a maximum value when the slip plane is inclined at 45° to the tensile axis, and ...
The formula of Peach and Koehler for the total force acting on a dislocation in a stressed crystal is derived by the use of a theorem due to Colonnetti. The same method distinguishes conservative motions of the dislocation, which do not alter the volume, from other motions. The component ...
(for example,Nabarro 1987,Joos and Duesbery 1997,Nabarro 1997), but its qualitative features survive: τPincreases with theshear modulus,G, and decreases exponentially with the interplanar spacing, (h/b). Moreover, the simple Nabarro formula is in rough agreement with the available experimental ...
Angle-resolved polarized Raman spectroscopy made it possible to analyze the anisotropy of crystals, such as c-Si, which is closely related to the crystal orientation, polari- zation, and stress state. Qiu [21] rebuilt the Raman-me- chanical theory by regarding the influence of shear stress ...
The rheology of fluid is characterized by the viscosity which is defined as the ratio between shear stress and shear rate. When particles are suspended in fluid, the viscosity of the suspension is often replaced by the effective viscosity. The relative viscosity, μr, is defined as the ratio ...
Except for γ′ NIM -single crystals with the [011]-orientation, the formula describes the anisotropy and ( t / c )-asymmetry of the critical resolved shear stress satisfactorily.doi:10.1016/S0966-9795(99)00060-6Eckhard NembachAstrid Nitz...
The theoretical calculation methods regarding resolved shear stress and shear strain of nickel-based single crystals are listed in the theoretical formulae section. Eight kinds of nickel-based single crystal fatigue life prediction models are listed in the next section, and the viewpoint that maximum...
The theoretical calculation methods regarding resolved shear stress and shear strain of nickel-based single crystals are listed in the theoretical formulae section. Eight kinds of nickel-based single crystal fatigue life prediction models are listed in the next section, and the viewpoint that maximum...
The wall model uses the instantaneous velocity in the closest gridpoint to compute the shear stress. The wall coordinate 𝑦+y+ was lower than 30 in this simulation. For this study the model was run on a uniform grid with a constant resolution of 2 mm in each direction. The boundary ...
It shows a unique combination of mechanical properties, such as an elastic modulus of 470 GPa, a ratio of bulk and shear moduli of 1.73, and a positive Cauchy pressure, which are required for hard and wear-resistant coatings with moderate ductility [3,4]. Bolvardi et al. [5] ...