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The consistency of the formulation is demonstrated by reducing it to classical ring theories based on inextensional or negligible shear deformation assumptions.
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The dry matter (DM), density, chemical analyses were repeated on three production batches to assess the consistency of the formulations.
In order to check the self-consistency of the formulation, we consider the energy conservation of a P wave and an S wave.
The focus is put on the rigour and consistency of the proposed formulation in accommodating the coupling between damage and plasticity, while keeping its structure sufficiently generic to be applicable to a wide range of engineering materials.
The consistency of the two formulations is shown through an appropriate transformation of the governing equations to a fixed domain.
Scott (2012) evaluated two existing formulations of force-based element response sensitivity and found the consistency of first formulation, while the second one proved to be inconsistent with a high condition number.
Thus, the mathematical consistency of the inverse problem formulation has been guaranteed.
2D integral fracture equation is multiplied by the fracture aperture b for consistency of the integral form.The formulation of the governing equation for hydraulic process through matrix porous medium can be written as follows: mathop {nabla left( {frac{{vec{vec{k}}_{mu } cdot nabla p_ right) + Q_{H} = 0.0}limits^.
Because the resulting geotextile products represent engineered formulated materials, their consistency of formulation and the associated time-dependent service life are of high interest.
Elemental analysis showed consistency with the formulation.
First, the consistency of the complex wave vector mathematical formulation is discussed, placing particular emphasis on the real or complex nature of the resulting characteristic equation from which the natural frequencies are derived.
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