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Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation…

Soft Condensed Matter · Physics 2022-01-20 Benjamin Foster , Nicolás Verschueren , Edgar Knobloch , Leonardo Gordillo

This paper investigates a computational strategy for studying the interactions between multiple through-the-width delaminations and global or local buckling in composite laminates taking into account possible contact between the delaminated…

Numerical Analysis · Mathematics 2012-09-03 Karin Saavedra , Olivier Allix , Pierre Gosselet

A Nitche's method is presented to couple non-conforming two and three dimensional NURBS (Non Uniform Rational B-splines) patches in the context of isogeometric analysis (IGA). We present results for elastic stress analyses under the static…

Numerical Analysis · Mathematics 2016-02-01 Vinh Phu Nguyen , Pierre Kerfriden , Marco Brino , Stephane Bordas , Elvio Bonisoli

This paper studies the aeroelasticity of a stiffened cantilever plate using composite material and novel structural layouts. A comprehensive parametric study is conducted to determine the influence of different design parameters on the…

Fluid Dynamics · Physics 2023-11-03 Bara'ah Fraihat , Rafic Ajaj

An analytical model based on variational principles for a thin-walled stiffened plate subjected to axial compression is presented. A system of nonlinear differential and integral equations is derived and solved using numerical continuation.…

Materials Science · Physics 2014-06-10 M. Ahmer Wadee , Maryam Farsi

The aim of this work is to study the asymptotic behavior of a structure made of plates of thickness $2\delta$ when $\delta\to 0$. This study is carried on within the frame of linear elasticity by using the unfolding method. It is based on…

Numerical Analysis · Mathematics 2011-09-12 Georges Griso

The nonlinear frequencies of pre-stressed graphene-based structures, such as flat graphene sheets and carbon nanotubes, are calculated. These structures are modeled with a nonlinear hyperelastic shell model. The model is calibrated with…

Computational Engineering, Finance, and Science · Computer Science 2018-04-03 Reza Ghaffari , Roger A. Sauer

We examine the buckling shape and critical compression of confined inhomogeneous composite sheets lying on a liquid foundation. The buckling modes are controlled by the bending stiffness of the sheet, the density of the substrate, and the…

Soft Condensed Matter · Physics 2023-12-04 Marc Suñé , Cristóbal Arratia , A. F. Bonfils , Dominic Vella , J. S. Wettlaufer

The simulation of certain flow problems requires a means for modeling a free fluid surface; examples being viscoelastic die swell or fluid sloshing in tanks. In a finite-element context, this type of problem can, among many other options,…

Numerical Analysis · Mathematics 2017-09-21 Florian Zwicke , Sebastian Eusterholz , Stefanie Elgeti

We consider the axial compression of a thin sheet wrapped around a rigid cylindrical substrate. In contrast to the wrinkling-to-fold transitions exhibited in similar systems, we find that the sheet always buckles into a single symmetric…

Soft Condensed Matter · Physics 2015-07-13 Norbert Stoop , Martin Michael Müller

We propose a local type of B-bar formulation, addressing locking in degenerated Reissner-Mindlin plate and shell formulations in the context of isogeometric analysis. Parasitic strain components are projected onto the physical space…

Computational Engineering, Finance, and Science · Computer Science 2018-02-23 Qingyuan Hu , Yang Xia , Sundararajan Natarajan , Andreas Zilian , Ping Hu , Stéphane P. A. Bordas

The multi-scale nature of architectured materials raises the need for advanced experimental methods suitable for the identification of their effective properties, especially when their size is finite and they undergo extreme deformations.…

Applied Physics · Physics 2024-03-04 Filippo Agnelli , Pierre Margerit , Paolo Celli , Chiara Daraio , Andrei Constantinescu

A mechanical model of a laminated composite ring on a nonreciprocal elastic foundation is a valuable engineering tool during the early design stages of various applications, such as non-pneumatic wheels, flexible bearings, expandable…

Applied Physics · Physics 2025-01-06 Zhipeng Liu , Jaehyung Ju

A novel and efficient approach which is based on the framework of isogeometric analysis for elliptic homogenization problems is proposed. These problems possess highly oscillating coefficients leading to extremely high computational…

Numerical Analysis · Mathematics 2017-10-31 H. Nguyen-Xuan , T. Hoang , V. P. Nguyen

In this paper, we propose an effective computational approach to analyze and active control of geometrically nonlinear responses of functionally graded (FG) porous plates with graphene nanoplatelets (GPLs) reinforcement integrated with…

Applied Physics · Physics 2023-09-07 Nam V. Nguyen , Lieu B. Nguyen , H. Nguyen-Xuan , Jaehong Lee

We present a geometrically exact nonlinear analysis of elastic in-plane beams in the context of finite but small strain theory. The formulation utilizes the full beam metric and obtains the complete analytic elastic constitutive model by…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 A. Borković , B. Marussig , G. Radenković

We present a novel stabilized isogeometric formulation for the Stokes problem, where the geometry of interest is obtained via overlapping NURBS (non-uniform rational B-spline) patches, i.e., one patch on top of another in an arbitrary but…

Numerical Analysis · Mathematics 2023-09-22 Xiaodong Wei , Riccardo Puppi , Pablo Antolin , Annalisa Buffa

In this paper, the bending and free flexural vibration behaviour of sandwich plates with carbon nanotube (CNT) reinforced facesheets are investigated using QUAD-8 shear flexible element developed based on higher-order structural theory.…

Numerical Analysis · Mathematics 2014-03-10 Sundararajan Natarajan , Mohamed Haboussi , Ganapathi Manickam

The immersed isogeometric Boundary Element Method is presented and applied to the simulation of underground excavations. Nonuniform rational B-splines (NURBS) are used for the accurate definition of complex geometries with few parameters.…

Numerical Analysis · Mathematics 2022-12-01 Gernot Beer , Christian Duenser

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

Soft Condensed Matter · Physics 2017-10-25 Nicolas Mordant , Benjamin Miquel