Isogeometric topology optimization using trimmed spline surfaces

By Yu-Deok Seo, Hyun-Jung Kim, Sung-Kie Youn. 2010

229 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/9e51f2351b56876e8c22c68cf048031f1e9d91fb

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In Civil and Structural Engineering

In Computational Mechanics

In Mechanics of Materials

Citations in the corpus

Isogeometric analysis for parameterized LSM-based structural topology optimization (2016, methodology): “[53], where the trimmed surface analysis technique [33] was employed for the structural response analysis and the sensitivity calculation, but the implementation is complicated and the computational time for the analysis may increase considerably when a large number of trim curves are used in a trim”
Topology optimization in B-spline space (2013, methodology): “In [22], trimmed B-spline surface analysis and isogeometric analysis are used for topology optimization where surface control points and trimming curves’ control points are design variables and some selection criteria are used to generate internal holes.”
Isogeometric Analysis for Topology Optimization with a Phase Field Model (2012, methodology): “Recently, Isogeometric Analysis has been used in [91] to solve design optimization problems to generate optimal two–dimensional structures by means of a procedure based on trimmed curves; this concept is further extended in [90] for topology optimization problems.”
Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “[32] first proposed an isogeometric TO that used trimmed surface [33] for structural response analysis and sensitivity calculation.”
A multi-resolution method for 3D multi-material topology optimization (2015, unknown): “The concept of isogeometric analysis by Hughes et al. [43] has been used to minimize overall cost by reducing the dependence to the initial FE grid and the post-processing efforts of converting to NURBS based CAD models for problems with complex geometry [44–46].”
Isogeometric contact analysis using mortar method (2012, methodology): “The isogeometric concept has been applied to structural shape [13] and topology optimizations [14] for an integrated framework of structural design with CAD.”
Topology optimization approaches (2013, background): “…are allowed to move independently (with some regularization) (Le et al. 2011; Arnout et al. 2012), partly due to great interest in applications of isogeometric approaches (Wall et al. 2008; Cho and Ha 2009; Seo et al. 2010) and partly due to the need of explicit mesh-resolved boundary conditions.”
A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes (2018, background): “[48], while the computational time for the analysis may increase considerably when the number of trim curves in a trimmed surface is large.”
The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, methodology): “Some examples include the immersed boundary method due to Peskin [121], certain versions of the extended finite elemen t method [21, 68, 96, 106, 148, 167, 172], fixed-grid methods in fluid-structure interaction [10,58,134,136,184,186,1 96], isogeometric immersed boundary methods [86, 87, 94, 133, 1”