Publication

Finite element analysis enhanced with subdivision surface boundary representations

Greco, F., Barendrecht, P., Coox, L., Atak, O. & Desmet, W., Dec-2017, In : Finite elements in analysis and design. 137, p. 56-72 17 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Greco, F., Barendrecht, P., Coox, L., Atak, O., & Desmet, W. (2017). Finite element analysis enhanced with subdivision surface boundary representations. Finite elements in analysis and design, 137, 56-72. https://doi.org/10.1016/j.finel.2017.09.002

Author

Greco, F. ; Barendrecht, P. ; Coox, L. ; Atak, O. ; Desmet, W. / Finite element analysis enhanced with subdivision surface boundary representations. In: Finite elements in analysis and design. 2017 ; Vol. 137. pp. 56-72.

Harvard

Greco, F, Barendrecht, P, Coox, L, Atak, O & Desmet, W 2017, 'Finite element analysis enhanced with subdivision surface boundary representations', Finite elements in analysis and design, vol. 137, pp. 56-72. https://doi.org/10.1016/j.finel.2017.09.002

Standard

Finite element analysis enhanced with subdivision surface boundary representations. / Greco, F.; Barendrecht, P.; Coox, L.; Atak, O.; Desmet, W.

In: Finite elements in analysis and design, Vol. 137, 12.2017, p. 56-72.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Greco F, Barendrecht P, Coox L, Atak O, Desmet W. Finite element analysis enhanced with subdivision surface boundary representations. Finite elements in analysis and design. 2017 Dec;137:56-72. https://doi.org/10.1016/j.finel.2017.09.002


BibTeX

@article{ec6f9688f5ee4f939c21e2321ef5860d,
title = "Finite element analysis enhanced with subdivision surface boundary representations",
abstract = "In this work we develop a design-through-analysis methodology by extending the concept of the NURBS-enhanced finite element method (NEFEM) to volumes bounded by Catmull-Clark subdivision surfaces. The representation of the boundary as a single watertight manifold facilitates the generation of an external curved triangular mesh, which is subsequently used to generate the interior volumetric mesh. Following the NEFEM framework, the basis functions are defined in the physical space and the numerical integration is realized with a special mapping which takes into account the exact definition of the boundary. Furthermore, an appropriate quadrature strategy is proposed to deal with the integration of elements adjacent to extraordinary vertices (EVs). Both theoretical and practical aspects of the implementation are discussed and are supported with numerical examples.",
keywords = "NURBS enhanced FEM, Subdivision surfaces, Catmull-Clark, Design-through-analysis, CATMULL-CLARK, LINEAR INDEPENDENCE, NURBS, CAD, INTEGRATION",
author = "F. Greco and P. Barendrecht and L. Coox and O. Atak and W. Desmet",
year = "2017",
month = "12",
doi = "10.1016/j.finel.2017.09.002",
language = "English",
volume = "137",
pages = "56--72",
journal = "Finite elements in analysis and design",
issn = "0168-874X",
publisher = "ELSEVIER SCIENCE BV",

}

RIS

TY - JOUR

T1 - Finite element analysis enhanced with subdivision surface boundary representations

AU - Greco, F.

AU - Barendrecht, P.

AU - Coox, L.

AU - Atak, O.

AU - Desmet, W.

PY - 2017/12

Y1 - 2017/12

N2 - In this work we develop a design-through-analysis methodology by extending the concept of the NURBS-enhanced finite element method (NEFEM) to volumes bounded by Catmull-Clark subdivision surfaces. The representation of the boundary as a single watertight manifold facilitates the generation of an external curved triangular mesh, which is subsequently used to generate the interior volumetric mesh. Following the NEFEM framework, the basis functions are defined in the physical space and the numerical integration is realized with a special mapping which takes into account the exact definition of the boundary. Furthermore, an appropriate quadrature strategy is proposed to deal with the integration of elements adjacent to extraordinary vertices (EVs). Both theoretical and practical aspects of the implementation are discussed and are supported with numerical examples.

AB - In this work we develop a design-through-analysis methodology by extending the concept of the NURBS-enhanced finite element method (NEFEM) to volumes bounded by Catmull-Clark subdivision surfaces. The representation of the boundary as a single watertight manifold facilitates the generation of an external curved triangular mesh, which is subsequently used to generate the interior volumetric mesh. Following the NEFEM framework, the basis functions are defined in the physical space and the numerical integration is realized with a special mapping which takes into account the exact definition of the boundary. Furthermore, an appropriate quadrature strategy is proposed to deal with the integration of elements adjacent to extraordinary vertices (EVs). Both theoretical and practical aspects of the implementation are discussed and are supported with numerical examples.

KW - NURBS enhanced FEM

KW - Subdivision surfaces

KW - Catmull-Clark

KW - Design-through-analysis

KW - CATMULL-CLARK

KW - LINEAR INDEPENDENCE

KW - NURBS

KW - CAD

KW - INTEGRATION

U2 - 10.1016/j.finel.2017.09.002

DO - 10.1016/j.finel.2017.09.002

M3 - Article

VL - 137

SP - 56

EP - 72

JO - Finite elements in analysis and design

JF - Finite elements in analysis and design

SN - 0168-874X

ER -

ID: 100362400