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To evaluate the convergence developing with the advancing, numerical modeling was carried out and a relation of displacement percentage versus distance coefficient was obtained as shown in Fig. 7.
Matsuda (1975) derived an empirical relation of displacement D (m) and M given by log D = 0.6M−4.0, and by extrapolation, displacement D for M 5.0 is 0.1 m.
Table 1 Monitored and total convergence No. Chainage Monitored convergence (mm) Distance behind face (m) Prior convergence (mm)/ Total convergence (mm) 1 S3 + 634.4 160 5.0 98/ 38) 258 2 S3 + 762.8 30 2.4 5/ 13) 35 3 S3 + 770.0 18 2.5 3/(14) 21 Open image in new window Fig. 7 Relation of displacement percentage versus distance coefficient.
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The relation of the displacement gradient and deformation gradient tensor is brought via the matrix logarithm function.
We will also thank professor Paul Holtenius for letting us use the Hemo-Cue, B-Glucosephotometer (serial number 9540102191, Helsingborg, Sweden) and for his ideas around elevated glucose levels in relation to displacement of abomasum.
These relations allow design of displacement ventilation effective to contain the smoke but not cause fire spread owing to the leaning of the flames.
Table 2 shows the positional distribution of the fractured condylar segment (on MRI) in relation to the degree of displacement of the segment (on plain X-rays).
By applying the stochastic central difference method and statistical linearization technique, a recursive relation for the variance of displacement of a Duffing oscillator excited by a class of non-stationary random disturbances is obtained and presented in this paper.
Lateral condyle fractures are also described in relation to the degree of displacement and rotation of the fracture fragment [ 12].
The relations of stresses-displacement for homogeneous transversely isotropic bone in two dimensions are in the form: τ r r = ( c 11 + P ∗ ) ∂ u r ∂ r + ( c 12 + P ∗ ) u r r + ( c 13 + P ∗ ) ∂ u z ∂ z, (3a).
The first formulation uses the kinematic relations of large displacements with moderate rotations for the face sheets, non-linear kinematic relations for the core and it assumes that the distribution of the vertical normal stresses through the depth of the core are linear.
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