Isogeometric analysis of large thin shell structures based on weak coupling of substructures with unstructured T-splines patches

Liu, Zhenyu; Cheng, Jin; Yang, Minglong; Yuan, Pei Pei; Qiu, Chao; Gao, Wei; Tan, Jianrong

doi:10.1016/j.advengsoft.2019.102692

Cited by 14 publications

(1 citation statement)

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“…Subsequently, research was done to complete the T-spline theory, including the linear independence of blending functions [6][7][8], local refinement algorithm [9][10][11][12], and other fundamental theories of T-splines [13][14][15]. It also extended the applications of NURBS and T-splines in CAD and CAE such as the isogeometric analysis [16] based integration of NURBS or T-splines with finite element analysis [17][18][19][20][21]. The unified representation in the isogeometric analysis may avoid the efficiency and accuracy problems caused by the transformation between the geometric design model and the analysis model.…”

Section: Introductionmentioning

confidence: 99%

Unified Representation of Curves and Surfaces

Wang

Zhao

2021

Mathematics

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In conventional modeling, shared control points can be employed to realize a unified representation for an object consisting of only curves or only surfaces touching one another. However, this method fails in treating the following two cases: (a) a system consisting of detached curves or surfaces; (b) a system having both curves and surfaces. The purpose of the present paper is to develop a new theoretical tool to solve such problems. By introducing the definitions of naked knot and I-mesh, the concept of I-spline is put forth, which is, in essence, an expanded B-spline or T-spline. It is verified by examples that the naked knots make I-splines flexible and effective in transforming different surfaces and/or curves into a unified one, especially in the above two cases.

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