Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials

By Xiaodong Huang, Yi Min Xie. 2009

573 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d0fe883bab7f8ea36988c646a8f7eeafa8962c8b

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Citations in the corpus

A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, methodology): “Zhu et al. (2007) and Huang and Xie (2009) independently proposed methods that employ a penalized density measure similar to the SIMP densitybased method.”
An improved soft-kill BESO algorithm for optimal distribution of single or multiple material phases (2015, methodology): “The obtained topology is simpler and the objective function is almost 7% lower than the one reported by Huang and Xie (2009) for the same problem (c = 13.0 N.mm).”
Concurrent topology optimization of structures and their composite microstructures (2014, methodology): “Introduction materials to the design domain [10,11].”
Bi-directional Evolutionary Structural Optimization on Advanced Structures and Materials: A Comprehensive Review (2016, methodology): “Huang and Xie [53] proposed a so called ‘‘soft-kill’’ BESO method using an arti-”
Evolutionary topology optimization of continuum structures with an additional displacement constraint (2009, methodology): “To circumvent those problems, we use a BESO mesh-independency filter ( Huang and Xie 2007, 2009a ) by averaging the elemental sensitivity number with its neighbouring elements based on image-process techniques.”
Topology Optimization for Additive Manufacturing (2011, background): “There have been several attempts in the literature topology optimization using multiple mat of different material [42-46].”
Evolutionary Topology Optimization of Structures with Multiple Displacement and Frequency Constraints (2012, unknown): “μ 2 2 2 2   + − +   μ ω ω * n S material model, the element sensitivity for the mean compliance takes the following form (Huang and Xie 2009).”
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].”
A new multi-material level set topology optimization method with the length scale control capability (2018, unknown): “In addition, multi-material topology optimization has also been performed under other frameworks, e.g., BESO (Bidirectional Evolutionary Structural Optimization) [37,38] and Phase field [39,40].”