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This paper concerns with finite element approximations of a quasi-static poroelasticity model in displacement-pressure formulation which describes the dynamics of poro-elastic materials under an applied mechanical force on the boundary. To…

数值分析 · 数学 2014-12-01 Xiaobing Feng , Zhihao Ge , Yukun Li

In the development of active animate materials, electromechanical coupling is highly attractive to realize mechanoresponsive functionality. Piezoelectricity is the most utilized electromechanical phenomenon due to the wide availability of…

In this paper, we introduce tensor involved peridynamics, a unified framework for simulating both isotropic and anisotropic materials. While traditional peridynamics models effectively simulate isotropic materials, they face challenges with…

材料科学 · 物理学 2024-12-23 Hao Tian , Jinlong Shao , Chenguang Liu , Shuo Liu , Xu Guo

Magnetizable piezoelectric beams exhibit strong couplings between mechanical, electric, and magnetic fields, significantly affecting their high-frequency vibrational behavior. Ensuring exponential stability under boundary feedback…

数值分析 · 数学 2026-04-07 Ahmet Kaan Aydin , Ahmet Ozkan Ozer , Jacob Walterman

We analyse wave propagation in two-dimensional bianisotropic media with the Finite Element Method (FEM). We start from the Maxwell-Tellegen's equations in bianisotropic media, and derive some system of coupled Partial Difference Equations…

光学 · 物理学 2016-12-21 Yan Liu , Boris Gralak , Sebastien Guenneau

Asymptotic formulae for the mechanical and electric fields in a piezoelectric body with a small void are derived and justified. Such results are new and useful for applications in the field of design of smart materials. In this way the…

最优化与控制 · 数学 2012-01-11 G. Cardone , S. A. Nazarov , J. Sokolowski

The equations of motion of a mechanical system subjected to nonholonomic linear constraints can be formulated in terms of a linear almost Poisson structure in a vector bundle. We study the existence of invariant measures for the system in…

数学物理 · 物理学 2015-02-23 Yuri N. Fedorov , Luis C. García-Naranjo , Juan C. Marrero

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

数值分析 · 数学 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

Accurately depicting multiphysics interactions in interfacial systems requires computational frameworks capable of reconciling geometric adaptability with strict conservation fidelity. However, traditional spatiotemporal discretisation…

计算工程、金融与科学 · 计算机科学 2025-11-18 Suhaib Ardah , Francisco J. Profito , Daniele Dini

Mechanical metamaterials are increasingly attracting interest in engineering applications due to their unique mechanical properties and lightweight nature. This study develops a novel sound-based representation to characterize the…

光学 · 物理学 2025-09-12 Sofia Cassara , Buminhan Sansa , Saltuk Yildiz , Waris Khan , Pinar Acar

A class of peridynamic material models known as constitutive correspondence models provide a bridge between classical continuum mechanics and peridynamics. These models are useful because they allow well-established local constitutive…

数值分析 · 计算机科学 2019-08-29 Masoud Behzadinasab , John T. Foster

In our previous papers we have described efficient and reliable methods of generation of representative volume elements (RVE) perfectly suitable for analysis of composite materials via stochastic homogenization. In this paper we profit from…

计算工程、金融与科学 · 计算机科学 2015-04-10 Vladimir Salnikov , Sophie Lemaitre , Daniel Choï , Philippe Karamian-Surville

New superconvergent structures are introduced by the finite volume element method (FVEM), which allow us to choose the superconvergent points freely. The general orthogonal condition and the modified M-decomposition (MMD) technique are…

数值分析 · 数学 2022-05-25 Xiang Wang , Junliang Lv , Yonghai Li

A continuum mechanical model of coupled dislocation based plasticity and fracture at finite deformation is proposed. Motivating questions and target applications of the model are sketched.

材料科学 · 物理学 2024-04-04 Amit Acharya

Peridynamics provides a versatile tool for fracture modelling in materials where fracture pathways cannot be predicted beforehand, but must be envisaged as an emergent features of the deformation process. One class of materials where this…

材料科学 · 物理学 2025-12-18 Shucheta Shegufta , Michael Zaiser

Review of techniques for characterizing piezoelectric/electrostrictive material for transducer applications.

材料科学 · 物理学 2022-02-07 Stewart Sherrit , Binu K. Mukherjee

This paper presents a systematic methodology for the discretization and reduction of a class of one-dimensional Partial Differential Equations (PDEs) with inputs and outputs collocated at the spatial boundaries. The class of system that we…

A finite element model and its equivalent electronic analogue circuit of hydraulic transmission lines have been developed. Basic equations are approximated to be a set of ordinary differential equations that can be represented in state…

流体动力学 · 物理学 2023-08-08 Jian-Jun Shu

We present a new framework for expressing finite element methods on multiple intersecting meshes: multimesh finite element methods. The framework enables the use of separate meshes to discretize parts of a computational domain that are…

数值分析 · 数学 2018-08-28 August Johansson , Benjamin Kehlet , Mats G. Larson , Anders Logg

Multifunctional capability, flexible design, rugged lightweight construction, and self-powered operation are desired attributes for electronics that directly interface with the human body or with advanced robotic systems. For these and…