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The smooth intersection eliminates the numerical complexity of treating a compressive "corner" region between the failure surface and the cap as shown in Fig. 1.
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To smooth the intersection of the two curves, the gamma value is calculated by (4).
In the present paper we introduce a natural construction that allows to tackle the case of a non-smooth real hypersurface by means of a reduction to a smooth complete intersection.
It is found that the effect of the vertex angle on the order of stress singularity at interface corner can be eliminated by smoothing the intersection of interface edges, which can be achieved simply by generating a circular-arc fillet at the intersection of the two free side surfaces.
In previous work we designed an efficient procedure that finds an algebraic sample point for each connected component of a smooth real complete intersection variety.
CSCM uses the Duvaut Lions formulation (Simo et al. 1988) and it is a cap model with a smooth or continuous intersection between the failure surface and the hardening cap.
The auto body shop and fast-food restaurants have vanished, swept away into a long-anticipated $120 million road project designed to smooth the car-choked intersection at Lee Highway and Gallows Road, used by 80,000 vehicles a day.
Recall the following generic hypothesis: All stable and unstable manifolds intersect transversely and all such intersections are smooth regularly embedded submanifolds of S n.
The P-surface is an intersection-free smooth surface that has constant mean curvature everywhere on the surface, and periodicity in three directions in 3D space.
For the case of smoothing surfaces and lines of intersection of surfaces, each relaxation consists of a pure smoothing component and a volume conserving correction which is chosen to be of minimum norm.
Firstly, the smooth approximate solution on the intersection of the two adjacent intervals is not easy to get.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com