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In the present paper, we propose to define the Shepard interpolation by using the geodesic distance. The geodesic distance between a pair of points is the length of the shortest geodesic line, and geodesic line is the generalization of straight line in the Euclidean geometry to general spaces, for instance 3D surfaces. When the shape of structure is non-convex, the geodesic distance is more reasonable...
In the present paper, we propose a method for the optimization of composite structures with continuous spatial variation of fiber angle. The key idea is to construct a continuous global function interpolating scattered design points to represent the fiber angle arrangement throughout the design domain. To be more specific, the Shepard interpolation method is employed to construct the interpolation...
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