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相关论文: Enhancement of elasto-dielectrics by homogenizatio…

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This paper concerns the rigorous periodic homogenization for a weakly coupled electroelastic system of a nonlinear electrostatic equation with an elastic equation enriched with electrostriction. Such coupling is employed to describe…

偏微分方程分析 · 数学 2023-08-01 Thuyen Dang , Yuliya Gorb , Silvia Jimenez Bolanos

This paper focuses on the homogenization of high-contrast dielectric elastomer composites, materials that deform in response to electrical stimulation. The considered heterogeneous material consisting of an ambient material with inserted…

偏微分方程分析 · 数学 2024-12-17 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

Electroactive soft elastomers require huge electric field for a meaningful actuation. We demonstrate that this can be dramatically reduced and giant deformations can be produced by application of suitably chosen heterogeneous actuators. The…

材料科学 · 物理学 2013-04-17 Stephan Rudykh , Arnon Lewinstein , Gil Uner , Gal deBotton

We are interested in the homogenization of elastic-electric coupling equation, with rapidly oscillating coefficients, in periodically perforated piezoelectric body. We justify the two first terms in the usual asymptotic development of the…

数值分析 · 数学 2007-09-10 Mechkour Houari

Dielectric elastomers (DEs) that couple deformation and electrostatics have the potential for use in soft sensors and actuators with applications ranging from robotic, biomedical, energy, aerospace and automotive technologies. However,…

软凝聚态物质 · 物理学 2020-10-07 Matthew Grasinger , Kaushik Dayal

In the field of soft dielectric elastomers, the notion electrostriction indicates the dependency of the permittivity on strain. The present paper is aimed at investigating the effects of electrostriction onto the stability behaviour of…

软凝聚态物质 · 物理学 2013-10-02 M. Gei , S. Colonnelli , R. Springhetti

We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch tests. We show how the relationship between electric displacement and…

软凝聚态物质 · 物理学 2018-11-14 Giuseppe Zurlo , Michel Destrade , Tongqing Lu

Starting from a prototypical model of elasto-plasticity in the small-strain and quasi-static setting, where the evolution of the plastic distortion is driven exclusively by the motion of discrete dislocations, this work performs a rigorous…

偏微分方程分析 · 数学 2025-03-26 Paolo Bonicatto , Filip Rindler

We investigate the dielectrophoretic motion of charge-neutral, polarizable nanocolloids through molecular dynamics simulations. Comparison to analytical results derived for continuum systems shows that the discrete charge distributions on…

软凝聚态物质 · 物理学 2009-11-13 Emppu Salonen , Emma Terama , Ilpo Vattulainen , Mikko Karttunen

This study proposes a multi-field asymptotic homogenization for the analysis of thermo-piezoelectric materials with periodic microstructures. The effect of the microstructural heterogeneity is taken into account by means of periodic…

材料科学 · 物理学 2017-01-13 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi

Electroactive polymers such as dielectric elastomers (DEs) have attracted significant attention in recent years. Computational techniques to solve the coupled electromechanical system of equations for this class of materials have…

计算物理 · 物理学 2018-04-03 Saman Seifi , K. C. Park , Harold S. Park

We investigate the time-evolution of elastoplastic materials reinforced by randomly distributed long-range interactions. Starting from a rate-independent system on a discrete spring lattice that combines local linearized elasticity,…

偏微分方程分析 · 数学 2025-09-15 Simone Hermann

This is the second part in a series of two papers that concern with the quantitative analysis of the electromagnetic field enhancement and anomalous diffraction by a periodic array of subwavelength slits. In this part, we explore the…

偏微分方程分析 · 数学 2017-06-08 Junshan Lin , Hai Zhang

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

软凝聚态物质 · 物理学 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

Many biological and engineering materials have nonperiodic microstructures for which classical periodic homogenization results do not apply. Certain nonperiodic microstructures may be approximated by locally periodic microstructures for…

偏微分方程分析 · 数学 2016-06-13 Brian Seguin

In this paper a semilinear elliptic PDE with rapidly oscillating coefficients is homogenized. The novetly of our result lies in the fact that we allow the second order part of the differential operator to be degenerate in some portion of…

概率论 · 数学 2013-05-07 Etienne Pardoux , Ahmadou Bamba Sow

We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This features the coupling of elastic response and electrostatics by means of a capacitary term, which is naturally defined in…

偏微分方程分析 · 数学 2021-04-19 Elisa Davoli , Anastasia Molchanova , Ulisse Stefanelli

Stretching dynamics of polymers in microfluidics is of particular interest for polymer scientists. As a charged polymer, a polyelectrolyte can be deformed from its coiled equilibrium configuration to an extended chain by applying uniform or…

软凝聚态物质 · 物理学 2014-11-18 Farnoush Farahpour , Fathollah Varnik , Mohammad Reza Ejtehadi

Pull-in (or electro-mechanical) instability occurs when a drastic decrease in the thickness of a dielectric elastomer results in electrical breakdown, which limits the applications of dielectric devices. Here we derive the criteria for…

软凝聚态物质 · 物理学 2020-09-04 Yipin Su , Weiqiu Chen , Michel Destrade

An idealized electrostatically actuated microelectromechanical system (MEMS) involving an elastic plate with a heterogeneous dielectric material is considered. Starting from the electrostatic and mechanical energies, the governing evolution…

偏微分方程分析 · 数学 2017-07-06 Philippe Laurencot , Christoph Walker
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