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Laminated glass units exhibit complex response as a result of different mechanical behavior and properties of glass and polymer foil. We aim to develop a finite element model for elastic laminated glass plates based on the refined plate…

计算工程、金融与科学 · 计算机科学 2016-08-10 Alena Zemanová , Jan Zeman , Michal Šejnoha

This contribution presents a simple Finite Element model aimed at efficient simulation of layered glass units. The adopted approach is based on considering independent kinematics of each layer, tied together via Lagrange multipliers.…

计算工程、金融与科学 · 计算机科学 2012-01-18 Alena Zemanová , Jan Zeman , Michal Šejnoha

This paper focuses on the modal analysis of laminated glass beams. In these multilayer elements, the stiff glass plates are connected by compliant interlayers with frequency/temperature-dependent behavior. The aim of our study is (i) to…

计算工程、金融与科学 · 计算机科学 2018-01-04 Alena Zemanová , Jan Zeman , Tomáš Janda , Jaroslav Schmidt , Michal Šejnoha

Laminated glass elements, which consist of stiff elastic glass layers connected with a compliant viscoelastic polymer foil, exhibit geometrically non-linear and time/temperature-sensitive behavior. In computational modeling, the…

计算工程、金融与科学 · 计算机科学 2017-12-11 Alena Zemanová , Jan Zeman , Michal Šejnoha

Laminated glass achieves improved post-critical response through the composite effect of stiff glass layers and more compliant polymer films, manifested in progressive layer failure by multiple localized cracks. As a result, laminated glass…

计算工程、金融与科学 · 计算机科学 2024-02-23 Jaroslav Schmidt , Alena Zemanová , Jan Zeman

We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in $\mathbb{R}^d$, $d \in \{2,3\}$. The sequence of finite element approximations is shown to exhibit strong convergence to the unique…

数值分析 · 数学 2020-04-02 Andrea Bonito , Vivette Girault , Endre Süli

In this work, an efficient and robust isogeometric three-dimensional solid-beam finite element is developed for large deformations and finite rotations with merely displacements as degrees of freedom. The finite strain theory and…

数值分析 · 数学 2023-12-13 Abdullah Shafqat , Oliver Weeger , Bai-Xiang Xu

In this paper, a novel and effective formulation based on isogeometric approach (IGA) and Refined Plate Theory (RPT) is proposed to study the behavior of laminated composite plates. Using many kinds of higher-order distributed functions,…

计算工程、金融与科学 · 计算机科学 2014-03-04 Loc V. Tran , Chien H. Thai , Buntara S. Gan , H. Nguyen-Xuan

This paper proposes a low order geometrically exact flexible beam formulation based on the utilisation of generic beam shape functions to approximate distributed kinematic properties of the deformed structure. The proposed nonlinear beam…

经典物理 · 物理学 2018-09-05 C. Howcroft , R. G. Cook , S. A. Neild , M. H. Lowenberg , J. E. Cooper , E. B. Coetzee

We present a first principle scheme to compute the rigidity, i. e. the shear-modulus of structural glasses at finite temperatures using the cloned liquid theory, which combines the replica theory and the liquid theory. With the aid of the…

软凝聚态物质 · 物理学 2012-06-08 Hajime Yoshino

We present a strongly-coupled immersed-boundary method for flow-structure interaction problems involving thin deforming bodies. The method is stable for arbitrary choices of solid-to-fluid mass ratios and for large body motions. As with…

流体动力学 · 物理学 2016-10-05 Andres Goza , Tim Colonius

A novel finite element formulation for gradient-regularized damage models is presented which allows for the robust, efficient, and mesh-independent simulation of damage phenomena in engineering and biological materials. The paper presents a…

计算工程、金融与科学 · 计算机科学 2022-11-16 Johannes Riesselmann , Daniel Balzani

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

材料科学 · 物理学 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

In this paper, we propose a linear and monolithic finite element method for the approximation of an incompressible viscous fluid interacting with an elastic and deforming plate. We use the arbitrary Lagrangian-Eulerian (ALE) approach that…

数值分析 · 数学 2023-01-13 Sebastian Schwarzacher , Bangwei She , Karel Tuma

The objective of this work is the development of a novel finite element formulation describing the contact interaction of slender beams in complex 3D configurations involving arbitrary beam-to-beam orientations. It is shown in a…

计算工程、金融与科学 · 计算机科学 2018-05-28 Christoph Meier , Alexander Popp , Wolfgang A. Wall

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…

数值分析 · 数学 2012-09-03 Karin Saavedra , Olivier Allix , Pierre Gosselet

The paper extends the formulation of a 2D geometrically exact beam element proposed in our previous paper [1] to curved elastic beams. This formulation is based on equilibrium equations in their integrated form, combined with the kinematic…

计算工程、金融与科学 · 计算机科学 2022-10-06 Martin Horák , Emma La Malfa Ribolla , Milan Jirásek

We formulate a cut finite element method for linear elasticity based on higher order elements on a fixed background mesh. Key to the method is a stabilization term which provides control of the jumps in the derivatives of the finite element…

数值分析 · 数学 2019-02-05 Peter Hansbo , Mats G. Larson , Karl Larsson

A mixed finite element method (MFEM), using dual-parametric piecewise bi-quadratic and affine (DP-Q2-P1) finite element approximations for the deformation and the pressure like Lagrange multiplier respectively, is developed and analyzed for…

偏微分方程分析 · 数学 2019-04-30 Weijie Huang , Zhiping Li

The thin plate spline is a popular tool for the interpolation and smoothing of scattered data. In this paper we propose a novel stabilized mixed finite element method for the discretization of thin plate splines. The mixed formulation is…

数值分析 · 数学 2013-05-13 Bishnu P. Lamichhane , Markus Hegland
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