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Blowdown emissions are computed by means of the displacement equation.
If linear displacement equation is used, the position of the displacement front will be quite different.
The displacement equation is as varvec{delta}= {mathbf{K}}^{ - 1} {mathbf{F}}.
However, when the target is moving so fast that |Vr/λ|>fPRF/4, the displacement equation must be modified.
In addition, traditional azimuth displacement equation is modified to get the correct azimuth position of a moving target.
Based on the potential theory of linear elasticity, we extend the well-known Burgers displacement equation for an arbitrarily shaped dislocation loop in an isotropic elastic full space to the transversely isotropic case.
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Since the displacement equations are exact the velocity and acceleration responses are obtained by differentiation.
The contact problem is incorporated as boundary condition in the multigrid solution of the displacement equations for the volume.
To promote this situation, Mindlin's displacement equations are integrated to obtain a complete set of explicit formulae for calculating the displacements at an arbitrary point.
In viscous fluid-saturated elastic porous media, the spherical dilatational wave displacement equations are developed on Biot's theory and the spherical shear wave displacement equations are developed based on a modified wave frame.
These are inserted into stress and displacement equations at the cylinder boundaries and at the location of the stiffener.
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