Constraints of distance from boundary to skeleton: For the control of length scale in level set based structural topology optimization

By Qi Xia, Tielin Shi. 2015

119 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/e2d4fe27fa6219d45cf417a46cc1083c36e23d6c

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Structural topology optimization considering connectivity constraint (2016, background): “2014; Guest 2009a) and the level set based topology optimization schemes (Chen et al. 2008; Guo et al. 2014; Xia and Shi 2015; Luo et al. 2008) are proposed to solve this problem.”
Geometric constraints for shape and topology optimization in architectural design (2017, background): “This material plays a fundamental role in the expression of many geometric features of shapes (such as minimum and maximum length scales, see for instance [3, 6, 38, 67]), in particular in the definitions of our geometric constraints in Section 5, The present section purposely stays at an elementary”
A new multi-material level set topology optimization method with the length scale control capability (2018, unknown): “Hence, the structural skeleton is captured through the following procedures [42].”
Self-supporting structure design in additive manufacturing through explicit topology optimization (2017, methodology): “In order to control the minimum length scale in topology optimization, both global implicit [9-11] and local explicit [12-17] methods are developed.”
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “Xia and Shi [27] proposed a method to control the minimum/maximum length scale in the level-set based TO by using the concept of smallest/biggest maximal inscribable ball.”
Length scale and manufacturability in density-based topology optimization (2016, background): “Attempting to provide simpler formulations several other papers [68], [161], and [153] propose a skeleton based idea to control the minimum length scale.”