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This paper presents three different constitutive approaches to model thin rotation-free shells based on the Kirchhoff-Love hypothesis. One approach is based on numerical integration through the shell thickness while the other two approaches…

计算工程、金融与科学 · 计算机科学 2017-10-25 Farshad Roohbakhshan , Roger A. Sauer

The article addresses the mathematical modeling of the folding of a thin elastic sheet along a prescribed curved arc. A rigorous model reduction from a general hyperelastic material description is carried out under appropriate scaling…

数值分析 · 数学 2022-02-09 Sören Bartels , Andrea Bonito , Peter Hornung

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

We present a theoretical model and experimental demonstration of thin liquid film deformations due to a dielectric force distribution established by surface electrodes. We model the spatial electric field produced by a pair of parallel…

软凝聚态物质 · 物理学 2023-06-22 Israel Gabay , Federico Paratore , Evgeniy Boyko , Antonio Ramos , Amir D. Gat , Moran Bercovici

In this paper, we use isogeometric Kirchhoff plates to approximate composite laminates adopting the classical laminate plate theory. Both isogeometric Galerkin and collocation formulations are considered. Within this framework, interlaminar…

数值分析 · 数学 2020-07-21 Alessia Patton , Pablo Antolin , John-Eric Dufour , Josef Kiendl , Alessandro Reali

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

A novel approach which combines isogeometric collocation and an equilibrium-based stress recovery technique is applied to analyze laminated composite plates. Isogeometric collocation is an appealing strong form alternative to standard…

数值分析 · 数学 2024-12-20 Alessia Patton , John-Eric Dufour , Pablo Antolin , Alessandro Reali

Shells are ubiquitous thin structures that can undergo large nonlinear elastic deformations while exhibiting combined modes of bending and stretching, and have profound modern applications. In this paper, we have proposed a new Isogeometric…

软凝聚态物质 · 物理学 2022-06-22 Nikhil Padhye , Subodh Kalia

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

Numerical simulations of thin sheets undergoing large deformations are computationally challenging. Depending on the scenario, they may spontaneously buckle, wrinkle, fold, or crumple. Nature's thin tissues often experience significant…

软凝聚态物质 · 物理学 2015-08-03 Roman Vetter , Norbert Stoop , 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

An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics is specialised to infinitesimal deformations and follow the Kirchhoff-Love hypothesis. Both the geometry and…

数值分析 · 数学 2021-05-20 Zhaowei Liu , Andrew McBride , Prashant Saxena , Luca Heltai , Yilin Qu , Paul Steinmann

In this work, we present a method for simulating the large-scale deformation and crumpling of thin, elastoplastic sheets. Motivated by the physical behavior of thin sheets during crumpling, two different formulations of the governing…

软凝聚态物质 · 物理学 2023-07-10 Jovana Andrejevic , Chris H. Rycroft

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

Functionalized thin elastic films and membranes frequently feature internal sites of net forces or stresses. These are, for instance, active sites of actuation, or rigid inclusions in a strained membrane that induce counterstress upon…

软凝聚态物质 · 物理学 2024-09-02 Tyler Lutz , Andreas M. Menzel , Abdallah Daddi-Moussa-Ider

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

We present a numerical model for the dynamics of thin viscous threads based on a discrete, Lagrangian formulation of the smooth equations. The model makes use of a condensed set of coordinates, called the centerline/spin representation: the…

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

We present and analyze a high-order discontinuous Galerkin method for the space discretization of the wave propagation model in thermo-poroelastic media. The proposed scheme supports general polytopal grids. Stability analysis and…

数值分析 · 数学 2023-06-28 Stefano Bonetti , Michele Botti , Ilario Mazzieri , Paola F. Antonietti

We propose a new discontinuous Galerkin (dG) method for a geometrically nonlinear Kirchhoff plate model for large isometric bending deformations. The minimization problem is nonconvex due to the isometry constraint. We present a practical…

数值分析 · 数学 2020-09-30 Andrea Bonito , Ricardo H. Nochetto , Dimitrios Ntogkas
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