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In this paper we propose a novel current actuated fully dynamic piezoelectric composite model. This new model complements the existing modeling framework of deriving piezoelectric models. We show that the novel composite model is…

最优化与控制 · 数学 2024-10-30 Matthijs C. de Jong , Jacquelien M. A. Scherpen

The paper introduces a Poisson-type problem on a mixed-dimensional structure combining a Euclidean domain and a lower-dimensional self-similar component touching a compact surface (interface). The lower-dimensional piece is a so-called…

偏微分方程分析 · 数学 2025-12-02 Maryna Kachanovska , Kiyan Naderi , Konstantin Pankrashkin

We consider bivariate piecewise polynomial finite element spaces for curved domains bounded by piecewise conics satisfying homogeneous boundary conditions, construct stable local bases for them using Bernstein-B\'ezier techniques, prove…

数值分析 · 数学 2016-02-18 Oleg Davydov , Georgii Kostin , Abid Saeed

Port-Hamiltonian (PH) systems provide a framework for modeling, analysis and control of complex dynamical systems, where the complexity might result from multi-physical couplings, non-trivial domains and diverse nonlinearities. A major…

动力系统 · 数学 2024-03-15 Philipp L. Kinon , Tobias Thoma , Peter Betsch , Paul Kotyczka

We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it generalized standard materials}, the constitutive model results…

偏微分方程分析 · 数学 2020-12-30 David Melching , Michael Neunteufel , Joachim Schöberl , Ulisse Stefanelli

Piezoelectric elastic metamaterials offer the ability to overcome the fixed, narrow bandwidth characteristics of passive elastic metamaterials. Interesting ultrasonic band gaps exist in piezoelectric plate metamaterials with periodic…

应用物理 · 物理学 2022-07-19 David R. Schipf , Matthew D. Guild , Caleb F. Sieck

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

计算工程、金融与科学 · 计算机科学 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing, and so on. Current applications of interest, for instance,…

偏微分方程分析 · 数学 2022-01-03 Mina Karimi , Mehrdad Massoudi , Noel Walkington , Matteo Pozzi , Kaushik Dayal

Dielectric properties of material mixtures are of importance in diagnostics, characterization and design of systems in various engineering fields. In this Letter, we propose a peculiar dielectric mixture expression, which is based on the…

材料科学 · 物理学 2007-05-23 Enis Tuncer

This paper deals with the vibration analysis of an asymmetric composite beam composed of glass a piezoelectric material. The Bernoulli's beam theory is adopted for mechanical deformations, and the electric potential field of the…

其他计算机科学 · 计算机科学 2008-02-22 J. -S. Chen , S. -H. Chen , K. -C. Wu

This paper presents a novel finite volume mooring line model based on the geometrically exact Simo-Reissner beam model for analysing the interaction between a floating rigid body and its mooring lines. The coupled numerical model is…

数值分析 · 数学 2026-01-21 Amirhossein Taran , Seevani Bali , Zeljko Tukovic , Vikram Pakrashi , Philip Cardiff

In the present thesis, a computational framework for the analysis of the deformation and damage phenomena occurring at the micro-scale of polycrystalline materials is presented. Micro-mechanics studies are commonly performed using the…

计算工程、金融与科学 · 计算机科学 2018-02-08 Vincenzo Gulizzi

We study a thermo-poroelasticity model which describes the interaction between the deformation of an elastic porous material and fluid flow under non-isothermal conditions. The model involves several parameters that can vary significantly…

数值分析 · 数学 2025-12-24 Mingchao Cai , Miroslav Kuchta , Jingzhi Li , Ziliang Li , Kent-Andre Mardal

We present a simple and general method for construction of localized orbitals to describe electronic structure of extended periodic metals and insulators as well as confined systems. Spatial decay of these orbitals is found to exhibit…

材料科学 · 物理学 2007-05-23 Joydeep Bhattacharjee , Umesh V Waghmare

Recently, a circuits-based approach for modeling the mutual coupling of reconfigurable surfaces, which comprise sub-wavelength spaced passive scattering elements coupled with electronic circuits for enabling the reconfiguration of the…

信息论 · 计算机科学 2023-02-08 Marco Di Renzo , Vincenzo Galdi , Giuseppe Castaldi

In this contribution, a finite element scheme to impose mixed boundary conditions without introducing Lagrange multipliers is presented for hyperbolic systems described as port-Hamiltonian systems. The strategy relies on finite element…

数值分析 · 数学 2026-01-23 S. D. M. de Jong , A. Brugnoli , R. Rashad , Y. Zhang , S. Stramigioli

In the present work, a machine learning based constitutive model for electro-mechanically coupled material behavior at finite deformations is proposed. Using different sets of invariants as inputs, an internal energy density is formulated…

计算工程、金融与科学 · 计算机科学 2022-08-30 Dominik K. Klein , Rogelio Ortigosa , Jesús Martínez-Frutos , Oliver Weeger

We present a finite element variational integrator for compressible flows. The numerical scheme is derived by discretizing, in a structure preserving way, the Lie group formulation of fluid dynamics on diffeomorphism groups and the…

数值分析 · 数学 2019-10-15 Evan S. Gawlik , François Gay-Balmaz

An approximation of a system coupling the cross-diffusion of chemical species within a solvent, subjected to an electric field, is obtained through a control volume finite element (CVFE) scheme on general simplicial meshes in two or three…

数值分析 · 数学 2026-03-17 Arne Berrens , Robert Eymard

Piezoelectricity of some materials has shown to have many applications, in particular in energy harvesting. Due to the inherent hysteresis in the characteristic of such materials, a number of hysteretic models have been proposed minding the…

偏微分方程分析 · 数学 2018-03-28 Pavel Krejci , Giselle Antunes Monteiro