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相关论文: An Interior Penalty coupling strategy for Isogeome…

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Penalty methods have proven to be particularly effective for achieving the required $C^1$-continuity in the context of multi-patch isogeometric Kirchhoff-Love shells. Due to their conceptual simplicity, these algorithms are readily…

数值分析 · 数学 2021-10-13 Luca Coradello , Josef Kiendl , Annalisa Buffa

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 C1-regular…

数值分析 · 数学 2023-04-13 Mathias Reichle , Jeremias Arf , Bernd Simeon , Sven Klinkel

We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertices, i.e. vertices with a valency different to four. The…

数值分析 · 数学 2023-05-10 Andrea Farahat , Hugo M. Verhelst , Josef Kiendl , Mario Kapl

This work focuses on the development of a super-penalty strategy based on the $L^2$-projection of suitable coupling terms to achieve $C^1$-continuity between non-conforming multi-patch isogeometric Kirchhoff plates. In particular, the…

数值分析 · 数学 2020-07-29 Luca Coradello , Gabriele Loli , Annalisa Buffa

Isogeometric Analysis (IGA) bridges Computer-Aided Design (CAD) and Finite Element Analysis (FEA) by employing splines as a common basis for geometry and analysis. One of the advantages of IGA is in the realm of thin shell analysis: due to…

数值分析 · 数学 2025-08-15 Hugo M. Verhelst , Angelos Mantzaflaris , Matthias Möller

For Kichhoff-Love shell problems a new mixed formulation solely based on standard $H^1$ spaces is presented. This allows for flexibility in the construction of discretization spaces, e.g., standard $C^0$-coupling of multi-patch isogeometric…

数值分析 · 数学 2019-01-30 Katharina Rafetseder , Walter Zulehner

We present a systematic study on higher-order penalty techniques for isogeometric mortar methods. In addition to the weak-continuity enforced by a mortar method, normal derivatives across the interface are penalized. The considered…

数值分析 · 数学 2018-07-04 Thomas Horger , Alessandro Reali , Barbara Wohlmuth , Linus Wunderlich

We introduce a coupled finite and boundary element formulation for acoustic scattering analysis over thin shell structures. A triangular Loop subdivision surface discretisation is used for both geometry and analysis fields. The…

数值分析 · 数学 2019-04-16 Zhaowei Liu , Musabbir Majeed , Fehmi Cirak , Robert N. Simpson

While shape optimization using isogeometric shells exhibits appealing features by integrating design geometries and analysis models, challenges arise when addressing computer-aided design (CAD) geometries comprised of multiple non-uniform…

最优化与控制 · 数学 2024-07-02 Han Zhao , John T. Hwang , J. S. Chen

This paper studies elasto-plastic large deformation behavior of thin shell structures using the isogeometric computational approach with the main focus on the efficiency in modelling the multi-patches and arbitrary material formulations. In…

数值分析 · 数学 2023-07-12 Giang Huynh , Xiaoying Zhuang , Hoang-Giang Bui , G. Meschke , Hung Nguyen-Xuan

Shell analysis is a well-established field, but achieving optimal higher-order convergence rates for such simulations is a difficult challenge. We present an isogeometric Kirchhoff-Love shell framework that treats every numerical aspect in…

计算工程、金融与科学 · 计算机科学 2020-12-23 Daniel Schöllhammer , Benjamin Marussig , Thomas-Peter Fries

This work utilizes the Immersed Boundary Conformal Method (IBCM) to analyze Kirchhoff-Love and Reissner-Mindlin shell structures within an immersed domain framework. Immersed boundary methods involve embedding complex geometries within a…

数值分析 · 数学 2024-08-06 Giuliano Guarino , Alberto Milazzo , Annalisa Buffa , Pablo Antolin

This work presents a new hybrid discretization approach to alleviate membrane locking in isogeometric finite element formulations for Kirchhoff-Love shells. The approach is simple, and requires no additional dofs and no static condensation.…

计算工程、金融与科学 · 计算机科学 2025-09-09 Roger A. Sauer , Zhihui Zou , Thomas J. R. Hughes

This work presents numerical techniques to enforce continuity constraints on multi-patch surfaces for three distinct problem classes. The first involves structural analysis of thin shells that are described by general Kirchhoff-Love…

计算工程、金融与科学 · 计算机科学 2021-10-07 Karsten Paul , Christopher Zimmermann , Thang X. Duong , Roger A. Sauer

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous both in nature and in industrial applications. In this paper we present an isogeometric formulation of such problems which exploits a boundary…

数值分析 · 数学 2017-02-17 Luca Heltai , Josef Kiendl , Antonio DeSimone , Alessandro Reali

Although isogeometric analysis exploits smooth B-spline and NURBS basis functions for the definition of discrete function spaces as well as for the geometry representation, the global smoothness in so-called multipatch parametrizations is…

数值分析 · 数学 2023-07-26 Jeremias Arf , Mathias Reichle , Sven Klinkel , Bernd Simeon

We present a novel isogeometric discretization approach for the Kirchhoff-Love shell formulation based on the Hellinger-Reissner variational principle. For mitigating membrane locking, we discretize the independent strains with spline basis…

计算工程、金融与科学 · 计算机科学 2025-08-05 Thi-Hoa Nguyen , René R. Hiemstra , Dominik Schillinger

Isogeometric analysis (IGA) has emerged as a promising approach in the field of structural optimization, benefiting from the seamless integration between the computer-aided design (CAD) geometry and the analysis model by employing…

最优化与控制 · 数学 2024-07-02 Han Zhao , David Kamensky , John T. Hwang , Jiun-Shyan Chen

In order to perform isogeometric analysis with increased smoothness on complex domains, trimming, variational coupling or unstructured spline methods can be used. The latter two classes of methods require a multi-patch segmentation of the…

数值分析 · 数学 2025-03-20 H. M. Verhelst , P. Weinmüller , A. Mantzaflaris , T. Takacs , D. Toshniwal

This work presents a numerical formulation to model isotropic viscoelastic material behavior for membranes and thin shells. The surface and the shell theory are formulated within a curvilinear coordinate system, which allows the…

计算工程、金融与科学 · 计算机科学 2022-08-24 Karsten Paul , Roger A. Sauer
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