A level set method for structural topology optimization and its applications

By Mei Yulin, Xiaoming Wang. 2004

306 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/d2ab5ef0bd40a7d7e0ccafae704e7796bae9d596

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Topology optimization of shell structures using adaptive inner-front (AIF) level set method (2008, background): “noted that the topological derivative for the compliance minimization problem of a linear elastic structure can be expressed some constant times of strain energy density (Cea et al. 2000; Mei and Wang 2004; Allaire et al. 2005).”
Topology optimization approaches (2013, methodology): “To account for design constraints, penalty or augmented Lagrange multiplier formulations are typically used for constructing merit functions (Allaire et al. 2004; Mei 2004; Luo et al. 2008b).”
MULTI-PHASE STRUCTURAL OPTIMIZATION VIA A LEVEL SET METHOD ∗, ∗∗ (2014, methodology): “The first publications on multiphase optimization, using the level set method, are [33] and [55] (see also [34], [54], [56]).”
Introducing the sequential linear programming level-set method for topology optimization (2015, methodology): “The signed distance property promotes stability in the level-set method and it is desirable to maintain this property throughout the optimization (Allaire et al. 2004; Yulin and Xiaoming 2004).”
Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method (2014, methodology): “The level set and the variational level set approaches have been adapted in [22, 24, 11, 25–27] to solve multimaterial topology optimization problems.”
Explicit level‐set‐based topology optimization using an exact Heaviside function and consistent sensitivity analysis (2012, background): “The most common extensions are the normal [12] and the natural [13] velocity extensions.”
An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions (2018, methodology): “Another way is to incorporate nucleation strategy, e.g. the topological derivative (Soko ł owski and Ż ochowski 1999), to create new holes by removing the least useful material during the optimization iterations (Burger et al. 2004; Mei and Wang 2004; Allaire et al. 2005).”