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Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

In the present work, advanced spatial and temporal discretization techniques are tailored to hyperelastic physics-augmented neural networks, i.e., neural network based constitutive models which fulfill all relevant mechanical conditions of…

计算工程、金融与科学 · 计算机科学 2023-06-19 Marlon Franke , Dominik K. Klein , Oliver Weeger , Peter Betsch

The method of regularized stokeslets is extensively used in biological fluid dynamics due to its conceptual simplicity and meshlessness. This simplicity carries a degree of cost in computational expense and accuracy because the number of…

流体动力学 · 物理学 2018-02-14 David J. Smith

A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-phase and bi-phase solids is presented. The framework belongs to the embedded-boundary techniques and its novelty regards the spatial…

数值分析 · 数学 2022-05-11 Vincenzo Gulizzi , Robert Saye

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 paper proposes a novel discretization workflow for contact problems in which the discretization of the contact interface is decoupled from that of the bulk domain. This separation enables independently tailored meshes for the contact…

计算工程、金融与科学 · 计算机科学 2026-03-03 Eugenia Gabriela Loera Villeda , Ivo Steinbrecher , Alexander Popp

The modeling of electric machines and power transformers typically involves systems of nonlinear magnetostatics or -quasistatics, and their efficient and accurate simulation is required for the reliable design, control, and optimization of…

数值分析 · 数学 2024-08-23 Herbert Egger , Felix Engertsberger , Bogdan Radu

Thin shells are characterized by a high cost of stretching compared to bending. As a result isometries of the midsurface of a shell play a crucial role in their mechanics. In turn, curves with zero normal curvature play a critical role in…

软凝聚态物质 · 物理学 2018-06-05 Salem Al Mosleh , Christian Santangelo

In spite of recent progress, soft robotics still suffers from a lack of unified modeling framework. Nowadays, the most adopted model for the design and control of soft robots is the piece-wise constant curvature model, with its consolidated…

机器人学 · 计算机科学 2018-10-25 Federico Renda , Frederic Boyer , Jorge Dias , Lakmal Seneviratne

We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cell-centered variables are often…

数值分析 · 数学 2017-05-19 Jan Martin Nordbotten

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

In this paper we propose a novel and general approach to design semi-implicit methods for the simulation of fluid-structure interaction problems in a fully Eulerian framework. In order to properly present the new method, we focus on the…

数值分析 · 数学 2023-10-31 Mirco Ciallella , Thomas Milcent

We introduce a new cell-centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and flow in porous media,…

数值分析 · 数学 2015-12-04 Eirik Keilegavlen , Jan Martin Nordbotten

Designing nanophotonic structures traditionally grapples with the complexities of discrete parameters, such as real materials, often resorting to costly global optimization methods. This paper introduces an approach that leverages…

光学 · 物理学 2025-06-12 Dalin Soun , Antoine Azéma , Lucien Roach , Glenna L. Drisko , Peter R. Wiecha

In this paper, we propose a multiphysics finite element method for a nonlinear poroelasticity model. To better describe the processes of deformation and diffusion, we firstly reformulate the nonlinear fluid-solid coupling problem into a…

数值分析 · 数学 2021-12-28 Zhihao Ge , Wenlong He

The vibrational properties of a face-centered cubic granular crystal of monodisperse particles are predicted using a discrete model as well as two micropolar models, first the classical Cosserat and second an enhanced Cosserat-type model,…

软凝聚态物质 · 物理学 2016-04-19 A. Merkel , S. Luding

We propose an $hp$-adaptive discontinuous Galerkin finite element method (DGFEM) to approximate the solution of a static crack boundary value problem. The mathematical model describes the behavior of a geometrically linear strain-limiting…

数值分析 · 数学 2024-11-04 Ram Manohar , S. M. Mallikarjunaiah

In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider materials arranged into periodically alternating thin…

偏微分方程分析 · 数学 2019-02-01 Elisa Davoli , Rita Ferreira , Carolin Kreisbeck

This paper uses the HCT finite element method and mesh adaptation technology to solve the nonlinear plate bending problem and conducts error analysis on the iterative method, including a priori and a posteriori error estimates. Our…

数值分析 · 数学 2025-03-17 Akakpo A. Wilfried , Houédanou K. Wilfrid

In this work we study the dynamic behaviour of compound shells of revolution partially filled with an ideal incompressible fluid based on boundary-value problems. New analytical mathematical model with corresponding discrete scheme for the…

计算工程、金融与科学 · 计算机科学 2016-06-15 Iryna Kononenko , Oleksiy Kononenko