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The above internal moment and force resultants are expressed in displacement terms using Eqs.
Infinitesimal displacement terms, of order greater than 1, are systematically neglected.
The first-order upwind scheme was also used to estimate the magnitude of displacement terms in the momentum equations and volumetric fraction on the sides of computational cells.
Convergence studies are made and accurate results are obtained by using 192 displacement terms for spherical, circular cylindrical, hyperbolic paraboloidal shallow shells and 64 terms for plates.
A comparison with the conventional approach based on a uniform corrosion and expansion pressure around the rebar is performed in both cracking pressure and cracking radial displacement terms.
The correct quadratic displacement terms in the strain-displacement relations, necessary for the complete description of initial stress effects, are also discussed.
Similar(51)
Alternatively, we may eliminate the displacement term and keep the traction term in (24).
Similarly, in case of a half car model, the displacement term in the forcing function for the front wheel is formulated as per Eq. 10.
We decided to use the seismogram envelope as the ground velocity term in this equation; the seismogram envelope integrated with respect to time was used as the displacement term in (Eq. 9) (hereinafter, the envelope displacement).
A purely mathematical procedure based on the representation theorem enables us to specify the additional imaginary displacement necessary for representing a volume source only by the displacement term, which links ΔV C to ΔV T. It also specifies the additional imaginary stress necessary for representing a moment tensor solely by the traction term, which gives the "stress glut".
Due to the fact that integration of linear terms of the equations in fluctuating component in momentum and conservation equations equals to zero, the only change that is made in these equations due to turbulence will be for the displacement term of the momentum equation (in which multiplication of velocity to its derivatives brings about a non-linear answer).
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CEO of Professional Science Editing for Scientists @ prosciediting.com