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In addition, we mimic the elastic homogeneous and isotropic half-space, or the ground surface atop the faults, by numerically imposing a free surface boundary obeying the boundary condition of (T_{p}^{i,n} = 0 left( {p = 1,2,3} right)) as in Ando and Okuyama (2010).
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The micromechanical model is numerically implemented within a shell-based nonlinear finite element (FE) by imposing a plane stress constraint on its 3D formulation.
To solve the equation numerically we also impose a reflecting boundary condition at a small value (x=x^), where the flux equals 0: (J(x^, t) = -b(x^,t f(x^,t) + sigma^{2} partial_{x}f(x^,t) / 2=0).
In this study, the wave impact load on the structure is obtained numerically by imposing the exact nonlinear free surface conditions and compared with that predicted by Morison's formula.
Finally, we demonstrate that a more precise prediction of the eigenfrequency ranges of the bridge can be obtained by studying a single repetitive cell numerically and imposing Floquet-Bloch conditions at its ends.
We will find optimal values of β by numerically solving a boundary value problem.
The editorial board imposes a few institutional constraints, by design.
Surely no government would impose a tax large enough to replace that imposed by enforcement.
Furthermore, the non-penetration condition is numerically satisfied by imposing the constraint at only the velocity level to guarantee energy-momentum conservation [1].
True, it imposes a (small) haircut.
In the context of the transformation method, we propose a general approach to construct numerically the mapping generated by imposing specific boundary conditions with a targeted function, and the necessary material and heat source spatial distributions are then derived with the help of transformation method.
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