Structural shape and topology optimization in a level-set-based framework of region representation

By Xiaobang Wang, Michael Y. Wang, D. Guo. 2004

146 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/591bd6c720e79fc7006148bdf404fa3c88febef9

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In Civil and Structural Engineering

In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

A gradient-based shape optimization scheme using an interface-enriched generalized FEM (2015, methodology): “These Eulerian methods incorporate mesh-free [20,21], fictitious domain [15,17,19,22,23], material perturbation [24], level-set [16,18,25,26], and the generalized/extended finite element methods (G/XFEM) [16,27–31].”
Topology optimization approaches (2013, background): “This requirement is satisfied in e.g. Wang et al. (2003, 2004b).”
Shape optimization and its extension to topological design based on isogeometric analysis (2010, background): “Several works on level set based shape and topology optimization can be found in (Allaire et al., 2004; Allaire and Jouve, 2005; Amstutz and Andra, 2006; Wang et al., 2003; Wang and Wang, 2004; Wang et al., 2004).”
A survey on level set methods for inverse problems and optimal design (2005, methodology): “[144, 145, 147, 148] were able to solve standard compliance minimization problems in 2d and 3d, as well as problems with more general shape functionals.”
Support structure constrained topology optimization for additive manufacturing (2016, methodology): “There are several TO methods employed today to solve such TO problems; these include Solid Isotropic Material with Penalization (SIMP) [38]–[41], level-set [42], [42]–[44] and evolutionary [45] methods.”
Nonlinear diffusions in topology optimization (2004, background): “These fundamental issues are often the subject of argument in the literature (Ruiter and Keulen 2000; Sigmund and Petersson 1998) from investigations into alternative approaches such as the evolutionary approaches (Bendsoe and Sigmund 2003), material interpolation (Bendsoe and Sigmund 2003, 1999), a”
A level set approach for topology optimization with local stress constraints (2014, methodology): “Among different techniques available to extend/regularize this field over D [17, 19, 47], the most performing for the present case was the Hilbertian method proposed in [48], providing a new velocity field G .”
A level set method for structural topology optimization and its applications (2004, methodology): “In addition, an appropriate nonlinear speed mapping [28], which is established in the tangential space of the active constraints, is further studied for increasing computational efficiency, and a return mapping algorithm is constructed for handling the violated constraints.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “In response a number of works, including Burger et al. (2004), Allaire et al. (2005), Allaire and Jouve (2006), Wang et al. (2004a), and He et al. (2007), proposed different mechanisms to include topological derivatives in the level set problem.”
Implicit boundary method for finite element analysis using non‐conforming mesh or grid (2008, methodology): “The level set approach has also been recently used for structural topology optimization [31, 32].”