Isogeometric analysis for trimmed CAD surfaces

By Hyun-Jung Kim, Yu-Deok Seo, Sung-Kie Youn. 2009

191 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/b65333a9331e3062d8448dcb749b7131d48e9dc7

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In Computational Mechanics

In Mechanical Engineering

Citations in the corpus

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”
Isogeometric boundary element analysis using unstructured T-splines (2013, background): “Interestingly, this success has attracted researchers within the Computer Aided Geometric Design (CAGD) community to develop new “analysis-aware” geometric technologies [31, 32, 33, 34, 35, 36, 37, 38].”
Local refinement of analysis-suitable T-splines (2012, background): “This success has in turn stimulated efforts within the Computer Aided Geometric Design (CAGD) community to develop and integrate analysis-suitable geometric technologies and isogeometric analysis [30, 31, 32, 33, 34, 35, 36, 37].”
A parameter-free variational coupling approach for trimmed isogeometric thin shells (2017, methodology): “, based on embedded domain methods [10,11] or boundary element methods [12,13].”
Isogeometric shape optimization of trimmed shell structures (2016, methodology): “To deal with this inconvenience and the consequential disadvantages, trimmed surface analysis (TSA) [1], which directly utilizes the information of untrimmed shell surface and trimming curves from CAD program to analysis without constructing multiple patches is employed to isogeometric analysis and ”
Shape optimization and its extension to topological design based on isogeometric analysis (2010, background): “, 2008) was proposed in the trimmed surface analysis (Kim et al., 2009).”
Isogeometric contact analysis using mortar method (2012, background): “The trimmed surface analysis [5] successfully resolved the serious difficulty of the isogeometric analysis in treatments of topologically complicated spline surfaces.”
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.”
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”