Coupling of non-conforming trimmed isogeometric Kirchhoff–Love shells via a projected super-penalty approach

Coradello, Luca; Kiendl, Josef; Buffa, Annalisa

doi:10.1016/j.cma.2021.114187

Cited by 21 publications

(5 citation statements)

References 42 publications

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“…It uses the concept of a stiff strip to connect patches with arbitrary angle and patches with a non-conforming interface. Besides the bending strip strategy, different penalty methods [38,39,40,41],…”

Section: Multi-patch Isogeometric Analysismentioning

confidence: 99%

Isogeometric analysis with C1-smooth functions over multi-patch surfaces

Farahat

Jüttler²,

Kapl³

et al. 2023

Computer Methods in Applied Mechanics and Engineering

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Section: Multi-patch Isogeometric Analysismentioning

confidence: 99%

Isogeometric analysis with C1-smooth functions over multi-patch surfaces

Farahat

Jüttler²,

Kapl³

et al. 2023

Computer Methods in Applied Mechanics and Engineering

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“…According to [26] the linearized strain components are and Besides the kinematics, the stress resultants n and m are derived by applying a suitable constitutive relation. Thus, the Cauchy stress tensor is analytically integrated through the thickness and reads as a decomposition into the stress tensors' components as [13] and (4b)…”

Section: Kirchhoff-love Shell Formulationmentioning

confidence: 99%

“…We want to remark, that the analytical integration herein assumes a constant thickness of the shell. Applying Hooke's law as a linear constitutive model, the tensor is given as [13] and Herein the parameters and E are the specific material parameters of Poisson's ratio and Young's modulus, respectively. It is remarkable, that due to the occurrence of second order derivatives of the basis functions in the bending components, C 1 continuity is required for the computation.…”

Section: Kirchhoff-love Shell Formulationmentioning

confidence: 99%

“…As complex shell structures often consist of multi-patch geometries, C 1 continuity needs to be enforced at patch boundaries. Common approaches to ensure higher continuity on multiple patches are Nitsche methods [7,8], mortar methods [9,10], and penalty methods [11][12][13][14], among others [15,16]. However, all of these methods are coupling techniques in a weak sense that can only represent the isogeometric discretization space approximately C 1 smooth.…”

Section: Introductionmentioning

confidence: 99%

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Smooth multi-patch scaled boundary isogeometric analysis for Kirchhoff–Love shells

Reichle¹,

Jeremias²,

Simeon³

et al. 2023

Meccanica

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In this work, a linear Kirchhoff–Love shell formulation in the framework of scaled boundary isogeometric analysis is presented that aims to provide a simple approach to trimming for NURBS-based shell analysis. To obtain a global $$C^1$$ C 1 -regular test function space for the shell discretization, an inter-patch coupling is applied with adjusted basis functions in the vicinity of the scaling center to ensure the approximation ability. Doing so, the scaled boundary geometries are related to the concept of analysis-suitable $$G^1$$ G 1 parametrizations. This yields a coupling of patch boundaries in a strong sense that is restricted to $$G^1$$ G 1 -smooth surfaces. The proposed approach is advantageous to trimmed geometries due to the incorporation of the trimming curve in the boundary representation that provides an exact representation in the planar domain. Since the coupling of star-shaped blocks is feasible, a mesh generation also for complex domains is implementable. The potential of the approach is demonstrated by several problems of untrimmed and trimmed geometries of Kirchhoff–Love shell analysis evaluated against error norms and displacements. Lastly, the applicability is highlighted in the analysis of a violin structure including arbitrarily shaped patches.

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“…With an increased refinement this problem may be smoothened out, but will always be slightly apparent. Additionally, the multipatch coupling is implemented by the penalty approach (see [12,18,50,51,63] for IBRA), which results, dependent on the selection of the penalty factor in a corrupted stiffness at the interface. Accordingly, if the solutions are not satisfactory it may be advantageous to use different coupling approaches (see e.g.…”

Section: Trimmingmentioning

confidence: 99%

Concepts of data collection for the CAD-integrated isogeometric analysis

Teschemacher

Bauer

Aristio

et al. 2022

Engineering with Computers

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This publication presents required steps for the realization of the pre- and post-processing for the isogeometric analysis and the isogeometric B-Rep analysis, with a focus on the collection of required data. It reveals the essential prerequisites for the preparation and the collection of geometrical information, which are merged with physical information for the creation of numerical models. It addresses both the direct computation on existing CAD drawings and the geometrical design during the preparation of the numerical models. The developments are presented through the example of the open source Rhino plugin Cocodrilo, which shall bring IGA to a larger community, including research and industrial facilities.

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Coupling of non-conforming trimmed isogeometric Kirchhoff–Love shells via a projected super-penalty approach

Cited by 21 publications

References 42 publications

Isogeometric analysis with C1-smooth functions over multi-patch surfaces

Isogeometric analysis with C1-smooth functions over multi-patch surfaces

Smooth multi-patch scaled boundary isogeometric analysis for Kirchhoff–Love shells

Concepts of data collection for the CAD-integrated isogeometric analysis

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