This expression is then applicable only to regions of the crystal where the stress is uniform, and estimates are made of the limits of applicability of this equation to compression test specimens of conventional geometry.doi:10.1080/14786437308227424...
For larger pillars up to about 40 μm (Parthasarathy et al., 2007), the size effect of the initial yield strength can be well-predicted in terms of SAS activation stress by Eq. (8.4.10). However, the statistically based evolution equation of an effective SAS length must be modified ...
Micro-models containing microstructures of the materials are set up by using the finite element method (FEM) and are applied in combination with the Tanaka-Mura (TM) equation in order to estimate the number of cycles required for the crack initiation. The long crack growth analysis...
aThe slip components are uniformly discrete in the space. For the slip component A, the kinematic variable is shearing deformation AA and the kinetic variable is resolved shear stress AA. 滑动组分是一致地分离的在空间。 为滑动组分A,运动学可变物剪变形AA,并且运动可变物是解决的抗剪应力AA。[translat...
whereGis theshear modulus,bis the magnitude of theBurgers vector, andχis a material constant ranging from 0.1 to 1(53). The effect of grain boundary barriers on slip resistance is generally modeled with the Hall–Petch equation: [21]gHP=KHPd−1/2 ...
In these two equations, the subscripts NR and ND denote the influence of the refractive index and depolarization, respectively, which were not considered; hence, the equation without the subscripts NR and ND is the result considering the influence of the refractive index and depolarization. ...
The influx of native LDL through the endothelium described by the second Kedem–Katchalsky equation [cf. Eq. (4)] is well studied, and thus the required parameters are available in the literature. In contrast, the flux of modified LDL and native HDL is scant investigated. Due to its origi...
To simulate the two-phase flow situation, driven in this case by a constant pressure gradient, a single set of Navier–Stokes equations, coupled with an enthalpy conservation equation, have been employed. The interfacial mass transfer, seen in this case to be dominated by condensation, has been...
the supplemental force model based on the solution of the lubrication equation. Typically, these lubrication models are resolution-dependent, that is, the gap to cell size ratio is used as a parameter. However, the results in this section reveals that it is important to use the gap to ...
it appears in the temporally and horizontally averaged momentum equation as follows:(6)−∂〈p¯〉s∂x+v∂2〈u¯〉s∂y2−∂〈u′v′¯〉s∂y−∂〈u˜v˜〉s∂y−〈∂p˜∂x〉s+v〈∇2u˜〉s=0,where 〈u˜v˜〉s is the dispersive shear stress...