Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method

By Xiaodong Huang, Yi Min Xie. 2007

822 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e4d4ab618e959012b9203db07cc7f1caa7e5b49e

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In Civil and Structural Engineering

In Computational Theory and Mathematics

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Citations in the corpus

Topological design and additive manufacturing of porous metals for bone scaffolds and orthopaedic implants: A review. (2016, methodology): “These unit cells were obtained using the Bi-directional Evolutionar y Structural Optimization (BESO) method [101-105], wh ich shows faster convergence and unambiguous material definition [106-109].”
An improved soft-kill BESO algorithm for optimal distribution of single or multiple material phases (2015, methodology): “2.5 Filtering scheme for hard-kill BESO Huang and Xie (2007) used a Filtering approach in hard-kill BESO to overcome checkerboard patterns and mesh dependency.”
A voxel-based method of constructing and skinning conformal and functionally graded lattice structures suitable for additive manufacturing (2017, methodology): “A number of these algorithms have been developed, including homogenization [1], evolutionary structural optimization [ESO] [2,3], solid isotropic material with penalization [4] and level sets [5].”
Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes (2019, methodology): “The popular topology optimization approaches include the homogenization-based method [33], SIMP [34], BESO [35], the level-set method [36], the moving morphable component/moving morphable void (MMC/MMV) methods [37–39], and various algorithms derived from them.”
Evolutionary topology optimization of continuum structures with an additional displacement constraint (2009, methodology): “The details about the calculation of αth may refer to Huang and Xie (2007). Step 8: Repeat 3–7 until the solution is convergent.”
Topology Optimization for Additive Manufacturing (2011, background): “It is usual for each finite element within the design domain to be defined as a design variable, allowing a variation in density (homogenization, SIMP) [1-4] or void-solid (bidirectional evolutionary structural optimization (BESO)) [5-9].”
Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, methodology): “, the convergent and mesh-independent BESO method [48], has been applied for a wide range of structural design problems.”
Optimal design of periodic structures using evolutionary topology optimization (2008, methodology): “Computational experience has shown that averaging the sensitivity number with its historical information is an effective way to avoid this problem (Huang and Xie 2007).”