Arbitrary-degree T-splines for isogeometric analysis of fully nonlinear Kirchhoff–Love shells. (January 2017)

• Record Type: Journal Article
• Authors: Casquero, Hugo; Liu, Lei; Zhang, Yongjie; Reali, Alessandro; Kiendl, Josef; Gomez, Hector
• Is Part Of: Computer aided design. Volume 82(2017)
• Page Start: 140
• Page End: 153
• Publication Date: 2017-01
• Subjects: Isogeometric analysis -- Analysis-suitable T-splines -- Arbitrary-degree T-splines -- Trimmed surfaces -- Nonlinear Kirchhoff–Love shells -- Incompressibility; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2016.08.009
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: This paper focuses on the employment of analysis-suitable T-spline surfaces of arbitrary degree for performing structural analysis of fully nonlinear thin shells. Our aim is to bring closer a seamless and flexible integration of design and analysis for shell structures. The local refinement capability of T-splines together with the Kirchhoff–Love shell discretization, which does not use rotational degrees of freedom, leads to a highly efficient and accurate formulation. Trimmed NURBS surfaces, which are ubiquitous in CAD programs, cannot be directly applied in analysis, however, T-splines can reparameterize these surfaces leading to analysis-suitable untrimmed T-spline representations. We consider various classical nonlinear benchmark problems where the cylindrical and spherical geometries are exactly represented and point loads are accurately captured through local h -refinement. Taking advantage of the higher inter-element continuity of T-splines, smooth stress resultants are plotted without using projection methods. Finally, we construct various trimmed NURBS surfaces with Rhino, an industrial and general-purpose CAD program, convert them to T-spline surfaces, and directly use them in analysis. Highlights: ASTS of arbitrary degree are used as a basis for solving the Kirchhoff–Love shell equations. The local h -refinement capabilities of ASTS enable to capture point loads efficiently. The higher inter-element continuity of ASTS leads to smooth stress resultants. Trimmed NURBS surfaces are transformed into ASTS surfaces.