![]() Xia, Q., Shi, T.: Optimization of structures with thin-layer functional device on its surface through a level set based multiple-type boundary method. Xia, Q., Shi, T.: Topology optimization of compliant mechanism and its support through a level set method. Xia, L., Xia, Q., Huang, X.D., Xie, Y.M.: Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review. 48, 1031–1055 (2013)ĭeaton, J.D., Grandhi, R.V.: A survey of structural and multidisciplinary continuum topology optimization: post 2000. Sigmund, O., Maute, K.: Topology optimization approaches. Sabido, A., Bahamonde, L., Harik, R., van Tooren, M.J.L.: Maturity assessment of the laminate variable stiffness design process. Lozano, G.G., Tiwari, A., Turner, C., Astwood, S.: A review on design for manufacture of variable stiffness composite laminates. Ghiasi, H., Fayazbakhsh, K., Pasini, D., Lessard, L.: Optimum stacking sequence design of composite materials part II: Variable stiffness design. Ghiasi, H., Pasini, D., Lessard, L.: Optimum stacking sequence design of composite materials part I: Constant stiffness design. In the simple representative numerical examples, the proposed method shows good performance. ![]() Several examples with in-plane load are investigated. The design variables to be optimized are the angles at scattered design points. ![]() In the design optimization of fiber reinforced composite structures, the proposed Shepard interpolation based on geodesic distance is used to construct a continuous global function that represents the fiber angle arrangement. In view of the fact that the length of a geodesic line can be considered as the time it takes to go with a certain velocity from one point to another, the fast marching method is used to compute the geodesic distance. When the shape of structure is non-convex, the geodesic distance is more reasonable than the Euclidean distance to define influence domain for interpolation points. 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. In the present paper, we propose to define the Shepard interpolation by using the geodesic distance. ![]()
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