Exact(3)
The rigid-body displacement T of adjacent grains at the GB in the direction n along the <110> axis of misorientation is absent (Tn 110 = 0), in agreement with mirror symmetry of body centered cubic crystals with respect to the {110} crystallographic plane.
The surface stress σ along the channel direction is calculated by σ = E∙y∙t/[2a∙(L/2 − 2a/3 ], where E is the Young's Modulus, y is the sample vertical displacement, t is the total thickness of the sample, L is the distance between the two supports, and a is the distance between the support and load [12].
Each bead trajectory was approximated as a sum of an exponential and a linear function of time: x t) = A·(1−e−B·t)+C·t, where x is bead displacement, t is time and A, B and C are fitting parameters.
Similar(57)
This phenomenon is named anomalous diffusion which is described by the nonlinear growth of the mean square displacement x ( t ) of a diffusion particle over time t: 〈 x 2 ( t ) 〉 ∼ κ α t α, where κ α is the diffusion coefficient, and α is the anomalous diffusion exponent.
In three dimensions, α2 is defined in terms of even powers of displacement r(t) of a atoms from their initial position at t = 0: 2The non-Gaussian parameter α2 is defined as equaling zero if the atomic motion is Brownian, and this measure of DH has often been considered in previous MD simulation studies of glass-forming liquids, grain boundaries, and the interfacial dynamics of NPs.
The FEMA-356 recommends the following equation for computing the target displacement: δ t = C 0 C 1 C 2 C 3 S a T e 2 4 π 2 g.
Displacement s(t n ), which is the distance from the center of signature to barycenter trajectory at time t n.
In this section, we calculate numerical results of the displacement u x, t) for different time-fractional Brownian motions α = 2/3, 3/4, 1 and for various values of t and x.
The output is the displacement y (t) of the mass.
Open image in new window Fig. 13 Slab in-plane displacement at t = 90 min (unit m).
The propagator can be derived for various displacement times, t, and hence these gradually probe a wider domain of the pore-scale velocity field within the porous medium.
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