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相关论文: Generalized electromechanical stability of dielect…

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We develop a solution theory for a generalized electro-magneto static Maxwell system in an exterior domain with anisotropic coefficients converging at infinity with a certain rate towards the identity. Our main goal is to treat right hand…

偏微分方程分析 · 数学 2011-05-23 Dirk Pauly

Dielectric elastomer actuators (DEAs) have garnered extensive attention especially in soft robotic applications over the past few decades owing to the advantages of lightweight, large strain, fast response and high energy density. However,…

机器人学 · 计算机科学 2026-04-21 Y. Zhao , G. Meng

Strain-based theory on elastic instabilities is being widely employed for studying onset of plasticity, phase transition or melting in crystals. And size effects, observed in nano-materials or solids under dynamic loadings, needs to account…

材料科学 · 物理学 2017-07-20 Kun Wang , Jun Chen , Wenjun Zhu , Meizhen Xiang

We investigate the nonlinear vibrations of a functionally graded dielectric elastomer plate subjected to electromechanical loads. We focus on local and global dynamics in the system. We employ the Gent strain energy function to model the…

软凝聚态物质 · 物理学 2024-06-28 Amin Alibakhshi , Sasan Rahmanian , Michel Destrade , Giuseppe Zurlo

This paper contains a thorough investigation of the performance of electrically activated layered soft dielectric composite actuators under plane deformation. Noting that the activation can be induced controlling either the voltage or the…

软凝聚态物质 · 物理学 2015-06-17 Massimiliano Gei , Roberta Springhetti , Eliana Bortot

Soft actuators allow to transform external stimuli to mechanical deformations. Because of their deformational response to external magnetic fields, magnetic gels and elastomers represent ideal candidates for such tasks. Mostly, linear…

软凝聚态物质 · 物理学 2020-07-01 Lukas Fischer , Andreas M. Menzel

Thermal fluctuations, geometric exclusion, and external driving all govern the mechanical response of dense particulate suspensions. Here, we measure the stress-strain response of quasi-two-dimensional flow-stabilized microsphere heaps in a…

软凝聚态物质 · 物理学 2014-07-22 Carlos P. Ortiz , Karen E. Daniels , Robert Riehn

We use a metric invariant stress theory of continuum mechanics to formulate a simple generalization of the the basic variables of electrodynamics and Maxwell's equations to general differentiable manifolds of any dimension, thus viewing…

数学物理 · 物理学 2014-12-16 Reuven Segev

There is an abundance of evidence that some relaxation dynamics, e.g., exponential decays, are much more common in nature than others. Recently, there have been attempts to trace this dominance back to a certain stability of the prevalent…

量子物理 · 物理学 2022-08-26 Robin Heveling , Jiaozi Wang , Christian Bartsch , Jochen Gemmer

Limiting chain extensibility is a characteristic that plays a vital role in the stretching of highly elastic materials. The Gent model has been widely used to capture this behaviour, as it performs very well in fitting stress-stretch data…

混沌动力学 · 物理学 2024-07-12 Amin Alibakhshi , Weiqiu Chen , Michel Destrade

We derive the equations of nonlinear electroelastostatics using three different variational formulations involving the deformation function and an independent field variable representing the electric character - considering either one of…

经典物理 · 物理学 2023-12-21 Prashant Saxena , Basant Lal Sharma

A soft solid is said to be initially stressed if it is subjected to a state of internal stress in its unloaded reference configuration. Developing a sound mathematical framework to model initially stressed solids in nonlinear elasticity is…

软凝聚态物质 · 物理学 2022-12-07 Davide Riccobelli , Abramo Agosti , Pasquale Ciarletta

The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

强关联电子 · 物理学 2009-11-07 G. S. Atwal , N. W. Ashcroft

This paper offers an informal instructive introduction to some of the main notions of geometric continuum mechanics for the case of smooth fields. We use a metric invariant stress theory of continuum mechanics to formulate a simple…

数学物理 · 物理学 2023-12-14 Reuven Segev

In this work, the Cosserat formulation of geometrically exact beam dynamics is extended by adding the electric potential as an additional degree of freedom to account for the electromechanical coupling in the Dielectric Elastomer Actuators…

计算工程、金融与科学 · 计算机科学 2021-12-01 Dengpeng Huang , Sigrid Leyendecker

We investigate the stability of a circular electrodes-coated dielectric membrane under the combined action of an electric field and all-round in-plane tension. It is known that such a membrane is susceptible to the limiting point…

软凝聚态物质 · 物理学 2023-02-21 Yibin Fu , Xiang Yu

For given non-consistent initial conditions, we study the stability of a class of generalised linear systems of difference equations with constant coefficients and taking into account that the leading coefficient can be a singular matrix.…

动力系统 · 数学 2016-12-14 Nicholas Apostolopoulos , Fernando Ortega , Grigoris Kalogeropoulos

Despite of some progresses in investigating the roles of the higher-order strain gradients on elastic stabilities of solids, the physical nature on the higher-order elastic instabilities of crystals, especially under extreme strain rates,…

介观与纳米尺度物理 · 物理学 2018-06-05 Kun Wang , Jun Chen , Wenjun Zhu , Meizhen Xiang

It is highly desirable to discover an electromechanical coupling that allows a dielectric material to generate curvature in response to a uniform electric field, which would add a new degree of freedom for designing actuators.…

软凝聚态物质 · 物理学 2021-01-27 X. Wen , K. Tan , Q. Deng , S. Shen

This work studies the symmetries, the associated momentum map, and relative equilibria of a mechanical system consisting of a small axisymmetric magnetic body-dipole in an also axisymmetric external magnetic field that additionally exhibits…

辛几何 · 数学 2013-11-12 Lyudmila Grigoryeva , Juan-Pablo Ortega , Stanislav Zub