The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches

By Josef Kiendl, Yuri Bazilevs, Ming-Chen Hsu, Roland Wüchner, Kai-Uwe Bletzinger. 2010

554 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/d87941cc8f573c7df475250789d4f8a53b5086ac

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

In Mechanical Engineering

Citations in the corpus

An isogeometric finite element formulation for thermal buckling analysis of functionally graded plates (2013, unknown): “IGA has been widely applied to a wide range of practical problems [35–43], and so on.”
The multi-level hp-method for three-dimensional problems: Dynamically changing high-order mesh refinement with arbitrary hanging nodes (2016, methodology): “This benchmark was already investigated in the context of shell formulations [81], isogeometric analysis [82–84], T-splines [85], and adaptive volumetric shells [86, 87].”
Geometrically nonlinear analysis of functionally graded plates using isogeometric analysis (2015, methodology): “Some other methods that allow incompatible patches are also developed such as the bending strip method (Kiendl et al., 2010) and Nitsche’s method (Nguyen et al.”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, unknown): “The problem of reduced continuity across patch boundaries can be resolved by applying linear constraint equations for simple geometries [74], or through the bending strip method [139].”
Rotation free isogeometric thin shell analysis using PHT-splines (2011, methodology): “In the context of isogeometric analysis based on NURBS, such approaches have been presented by [36–39].”
Locking-free isogeometric collocation methods for spatial Timoshenko rods (2013, unknown): “Given this unique premises, IGA has been adopted in different fields of Computational Mechanics, and the properties and advantages of this more than promising approach have been successfully tested and analyzed both from the practical and mathematical standpoints (see, among others, [4,7–13,15–17,22”
Local refinement of analysis-suitable T-splines (2012, methodology): “Areas of application of NURBS-based isogeometric analysis include turbulence [5, 6, 7, 8], fluidstructure interaction [9, 10, 11, 12], incompressibility [13, 14, 15], structural analysis [16, 3], plates and shells [17, 18, 19, 20, 21], phase-field analysis [22, 23], large deformation with mesh disto”