2021
DOI: 10.1002/nme.6786
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Explicit structural topology optimization using boundary element method‐based moving morphable void approach

Abstract: This article presents an explicit topology optimization approach using boundary element method based moving morphable void (MMV). Structural analysis in the conventional MMV approach is performed on a fixed mesh over the entire design domain. However, in the proposed method structural boundaries are described using B-splines and discretized with boundary elements making explicit representation of the boundaries possible. In this regard, the proposed approach has following merits: a) the use of weak material, w… Show more

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Cited by 11 publications
(7 citation statements)
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“…observed by naked eyes, and quantitatively evidenced by the values of M d , that is, M d = 0.208 for the OC algorithm and M d = 0.288 for the OC one. The topological configurations are constructed by using 𝜌 0 = 0.5 for the heuristic criterion on Equation (42). As visualized, while the topology obtained by the PTO algorithm is well-defined, the topology obtained by the OC algorithm does not exhibit a complete load-transferring path.…”
Section: Three-dimensional Structuresmentioning
confidence: 99%
See 3 more Smart Citations
“…observed by naked eyes, and quantitatively evidenced by the values of M d , that is, M d = 0.208 for the OC algorithm and M d = 0.288 for the OC one. The topological configurations are constructed by using 𝜌 0 = 0.5 for the heuristic criterion on Equation (42). As visualized, while the topology obtained by the PTO algorithm is well-defined, the topology obtained by the OC algorithm does not exhibit a complete load-transferring path.…”
Section: Three-dimensional Structuresmentioning
confidence: 99%
“…Then, the structural boundary is outlined by the points occupied with material. On the other hand, the second branch encompasses the level‐set method (LSM), 35–37 phase‐field method, 38,39 and moving morphable components/voids (MMC/V) method 40–43 . In this branch, a higher‐dimensional function is constructed in either explicit or implicit forms, and the structural boundary is defined as the iso‐contour or iso‐surface of the function.…”
Section: Introductionmentioning
confidence: 99%
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“…The introduction of IGA in topology optimization to develop the framework of Isogeometric Topology Optimization (ITO) has fascinated more attention among researchers and engineers, 43,44 such as the densities-based ITO methods, [45][46][47] the level-set-based ITO methods, 48,49 the moving morphable components-based ITO design frameworks. 50,51 The related ITO methods have also addressed several design problems, and the optimized solutions demonstrated the effectiveness and efficiency of the proposed ITO methods. For example, trimmed spline surfaces eliminated the design space dependence based on spline optimization to achieve topological flexibility.…”
Section: Introductionmentioning
confidence: 99%