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相关论文: Simultaneous analysis of curved Kirchhoff beams an…

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A mechanical model and numerical method for the simultaneous analysis of Reissner-Mindlin shells with geometries implied by a continuous set of level sets (isosurfaces) over some three-dimensional bulk domain is presented. A…

计算工程、金融与科学 · 计算机科学 2025-02-14 Michael Wolfgang Kaiser , Thomas-Peter Fries

A novel mixed-hybrid method for Kirchhoff-Love shells is proposed that enables the use of classical, possibly higher-order Lagrange elements in numerical analyses. In contrast to purely displacement-based formulations that require higher…

计算工程、金融与科学 · 计算机科学 2026-02-17 Jonas Neumeyer , Michael Wolfgang Kaiser , Thomas-Peter Fries

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

A mechanical model and numerical method for structural membranes implied by all isosurfaces of a level-set function in a three-dimensional bulk domain are proposed. The mechanical model covers large displacements in the context of the…

计算工程、金融与科学 · 计算机科学 2023-08-02 Thomas-Peter Fries , Michael W. Kaiser

This work presents a generalized Kirchhoff-Love shell theory that can explicitly capture fiber-induced anisotropy not only in stretching and out-of-plane bending, but also in in-plane bending. This setup is particularly suitable for…

材料科学 · 物理学 2023-06-06 Thang Xuan Duong , Vu Ngoc Khiêm , Mikhail Itskov , Roger Andrew Sauer

The present work focuses on geometrically exact finite elements for highly slender beams. It aims at the proposal of novel formulations of Kirchhoff-Love type, a detailed review of existing formulations of Kirchhoff-Love and Simo-Reissner…

计算工程、金融与科学 · 计算机科学 2019-05-08 Christoph Meier , Wolfgang A. Wall , Alexander Popp

The Kirchhoff-Love hypothesis expresses a kinematic constraint that is assumed to be valid for the deformations of a three-dimensional body when one of its dimensions is much smaller than the other two, as is the case for plates. This…

数学物理 · 物理学 2020-05-28 Olivier Ozenda , Epifanio G. Virga

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

The Kirchhoff-Love shell theory is recasted in the frame of the tangential differential calculus (TDC) where differential operators on surfaces are formulated based on global, three-dimensional coordinates. As a consequence, there is no…

计算工程、金融与科学 · 计算机科学 2018-10-11 D. Schöllhammer , T. P. Fries

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

Cutting-edge smart materials are transforming the domains of soft robotics, actuators, and sensors by harnessing diverse non-mechanical stimuli, such as electric and magnetic fields. Accurately modelling their physical behaviour…

经典物理 · 物理学 2024-07-09 Abhishek Ghosh , Andrew McBride , Zhaowei Liu , Luca Heltai , Paul Steinmann , Prashant Saxena

The mechanical model of a thin plate with boundary control and observation is presented as a port-Hamiltonian system (pHs), both in vectorial and tensorial forms: the Kirchhoff-Love model of a plate is described by using a Stokes-Dirac…

偏微分方程分析 · 数学 2020-10-07 Andrea Brugnoli , Daniel Alazard , Valérie Pommier-Budinger , Denis Matignon

The wide adoption of thermoplastic composites to reduce weight in structural parts requires reliable numerical methods to account for debonding between overmolded parts. Although cohesive elements are effective for debonding, the need for…

计算工程、金融与科学 · 计算机科学 2026-03-31 Sérgio G. F. Cordeiro , Boyang Chen , Frans P. van der Meer

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

Efficient and accurate numerical algorithms are developed to solve a generalized Kirchhoff-Love plate model subject to three common physical boundary conditions: (i) clamped; (ii) simply supported; and (iii) free. We solve the model…

数值分析 · 数学 2020-08-05 Duong T. A. Nguyen , Longfei Li , Hangjie Ji

We present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff-Love plates, including the biharmonic equation as a particular case. The…

A thin shell finite element approach based on Loop's subdivision surfaces is proposed, capable of dealing with large deformations and anisotropic growth. To this end, the Kirchhoff-Love theory of thin shells is derived and extended to allow…

数值分析 · 计算机科学 2015-03-20 Roman Vetter , Norbert Stoop , Thomas Jenni , Falk K. Wittel , Hans J. Herrmann

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

The geometrically rigorous nonlinear analysis of elastic shells is considered in the context of finite, but small, strain theory. The research is focused on the introduction of the full shell metric and examination of its influence on the…

数值分析 · 数学 2023-07-19 G. Radenković , A. Borković , B. Marussig

This paper presents the application of triangle configuration B-splines (TCB-splines) for representing and analyzing the Kirchhoff-Love shell in the context of isogeometric analysis (IGA). The Kirchhoff-Love shell formulation requires…

计算工程、金融与科学 · 计算机科学 2023-05-02 Zhihao Wang , Juan Cao , Xiaodong Wei , Zhonggui Chen , Hugo Casquero , Yongjie Jessica Zhang
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