Kirchhoff–Love shell representation and analysis using triangle configuration B-splines

Wang, Zhihao; Cao, Juan; Wei, Xiaodong; Chen, Zhonggui; Casquero, Hugo; Zhang, Yongjie Jessica

doi:10.1016/j.cma.2023.116316

Computer Methods in Applied Mechanics and Engineering

2023

DOI: 10.1016/j.cma.2023.116316

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Kirchhoff–Love shell representation and analysis using triangle configuration B-splines

Zhihao Wang,

Juan Cao,

Xiaodong Wei

et al.

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2024

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Cited by 3 publications

References 72 publications

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An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff–Love shell patches

Guarino,

Antolin,

Milazzo

et al. 2024

Engineering with Computers

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This work focuses on the coupling of trimmed shell patches using Isogeometric Analysis, based on higher continuity splines that seamlessly meet the $$C^1$$ C 1 requirement of Kirchhoff–Love-based discretizations. Weak enforcement of coupling conditions is achieved through the symmetric interior penalty method, where the fluxes are computed using their correct variationally consistent expression that was only recently proposed and is unprecedentedly adopted herein in the context of coupling conditions. The constitutive relationship accounts for generically laminated materials, although the proposed tests are conducted under the assumption of uniform thickness and lamination sequence. Numerical experiments assess the method for an isotropic and a laminated plate, as well as an isotropic hyperbolic paraboloid shell from the new shell obstacle course. The boundary conditions and domain force are chosen to reproduce manufactured analytical solutions, which are taken as reference to compute rigorous convergence curves in the $$L^2$$ L 2 , $$H^1$$ H 1 , and $$H^2$$ H 2 norms, that closely approach optimal ones predicted by theory. Additionally, we conduct a final test on a complex structure comprising five intersecting laminated cylindrical shells, whose geometry is directly imported from a STEP file. The results exhibit excellent agreement with those obtained through commercial software, showcasing the method’s potential for real-world industrial applications.

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An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff–Love shell patches

Guarino,

Antolin,

Milazzo

et al. 2024

Engineering with Computers

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Isogeometric Topology Optimization of Multi-patch Shell Structures

Pan,

Zhai,

Kang

et al. 2024

Computer-Aided Design

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A T-splines-oriented isogeometric topology optimization for plate and shell structures with arbitrary geometries using Bézier extraction

Zhang,

Xiao,

Gao

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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Kirchhoff–Love shell representation and analysis using triangle configuration B-splines

Cited by 3 publications

References 72 publications

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff–Love shell patches

An interior penalty coupling strategy for isogeometric non-conformal Kirchhoff–Love shell patches

Isogeometric Topology Optimization of Multi-patch Shell Structures

A T-splines-oriented isogeometric topology optimization for plate and shell structures with arbitrary geometries using Bézier extraction

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