Browse > Article
http://dx.doi.org/10.7734/COSEIK.2018.31.2.71

Studies of Interface Continuity in Isogeometric Structural Analysis for Multi-patch Shell Components  

Ha, Youn Doh (Department of Naval Architecture and Ocean Engineering, Kunsan National University)
Noh, Jungmin (Department of Naval Architecture and Ocean Engineering, Kunsan National University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.31, no.2, 2018 , pp. 71-78 More about this Journal
Abstract
This paper presents the assembling of multiple patches based on the single patch isogeometric formulation for the shear deformable shell element given in the previous study. The geometrically exact shell formulation has been accomplished with the shell theory based formulation and the generalized curvilinear coordinate system directly derived from the given NURBS geometry. For the knot elements matching across adjacent surfaces, the zero-th and first parametric continuity conditions are considered and the corresponding coupling constraints are implemented by a master-slave formulation between adjacent patches. The constraints are then enforced by a substitution method for condensation of the slave variables, thereby reducing the model size. Through numerical investigations, the important features of the first parametric continuity condition are confirmed. The performance of the multi-patch shell models is also examined comparing the rate of convergence of response coefficients for the zero and first order continuity conditions and continuity in coupling boundary between two patches is confirmed.
Keywords
isogeometric analysis; multi-patch formulation; parametric continuity conditions; NURBS; geometrically exact shell formulation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Nguyen, V., Kerfridenu, P., Brino, M., Bordas, S., Bonisoli, E. (2015) Nitsche's Method for Two and Three Dimensional NURBS Patch Coupling, Comput. Mech., 53(6), pp.1163-1182.   DOI
2 Ahmad, S., Orons, B.M., Zienkiewicz, O.C. (1970) Analysis of Thick and Thin Shell Structures by Curved Finite Elements, Int. J. Numer. Meth. Eng., 2, pp. 419-451.   DOI
3 Benson, D.J., Bazileves, Y., Hsu, M.C., Hughes, T.J.R. (2010) Isogeometric Shell Analysis: The Reissner-Mindlin Shell, Comput. Methods Appl. Mech. & Eng., 199(5-8), pp.276-289.   DOI
4 Bouclier, R., Elguedj, T., Combescure, A. (2013) Efficient Isogeometric NURBS-based Solid-Shell Element: Mixed Formulation and B-method, Comput. Methods Appl. Mech. & Eng., 267, pp.86-110.   DOI
5 Cottrell, J.A., Hughes, T.J.R., Reali, A. (2007) Studies of Refinement and Continuity in Isogeometric Structural Analysis, Comput. Methods Appl. Mech. & Eng., 196(41-44), pp.4160-4183.   DOI
6 Echter, R., Oesterle, B., Bischoff, M. (2013) A Hierarchic Family of Isogeometric Shell Finite Elements, Comput. Methods Appl. Mech. & Eng., 254, pp.170-180.   DOI
7 Hosseini, S., Remmers, J.J.C., Verhoosel, C. V., Borst, R. (2014) An Isogeometric Continuum Shell Element For Non-linear Analysis, Comput. Methods Appl. Mech. & Eng., 271, pp.1-22.   DOI
8 Hughes, T.J.R., Cottrell, J.A., Bazileves, Y. (2005) Isogeometric Analysis: CAD, Finite Element, NURBS, Exact Geometry and Mesh Refinement, Comput. Methods Appl. Mech. & Eng., 194(39-41), pp.4135-4195.   DOI
9 Ha, Y.D. (2015) Generalized Isogeometric Shape Sensitivity Analysis in Curvilinear Coordinate System and Shape Optimization of Shell Structures, Struct. & Multidiscip. Optim., 52(6), pp.1069-1088.   DOI
10 Kiendl, J., Bletzinger, K.-U., Linhard, J., Wuchner, R. (2009) Isogeometric Shell Analysis with Kirchhoff-Love Elements, Comput. Methods Appl. Mech. & Eng., 198(49-52), pp.3902-3914.   DOI
11 Lei, Z., Gillot, F., Jezequel, L. (2015) A $C^0/C^1$ Multiple Patches Connection Method in Isogeometric Analysis, Appl. Math. Model., 39(15), pp.4405-4420.   DOI
12 Simo, J.C., Fox, D.D. (1989) On a Stress Resultant Geometrically Exact Shell Model. Part I: Formulation and Optimal Parametrization, Comput. Methods Appl. Mech. & Eng., 72(3), pp.267-304.   DOI