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Dielectric elastomers have significant potential for new technologies ranging from soft robots to biomedical devices, driven by their ability to display complex shape changes in response to electrical stimulus. However, an important…

Soft Condensed Matter · Physics 2025-01-09 Daniel Katusele , Carmel Majidi , Pradeep Sharma , Kaushik Dayal

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

General asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian systems $i\partial E_n/\partial z=\delta H/\delta E_n^*$ has been developed. It has been shown that asymptotic study of the soliton stability…

patt-sol · Physics 2007-05-23 Dmitry V. Skryabin

Electrostatic and Casimir interactions limit the range of positional stability of electrostatically-actuated or capacitively-coupled mechanical devices. We investigate this range experimentally for a generic system consisting of a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. Buks , M. L. Roukes

Maxwell's models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But rigorous proofs are lacking. The present note is a…

Analysis of PDEs · Mathematics 2022-12-21 Sébastien Boyaval

The model of Zhao and Suo can be readily generalized to predict the critical breakdown electric field $E_c$ value of elastomers with arbitrary elastic strain energy function. An explicit expression for $E_c$ is presented for elastomeric…

Materials Science · Physics 2008-01-15 Andrew N. Norris

The recent discovery of electro-active polymers has shown great promises in the field of soft robotics, and was logically followed by experimental, numerical and theoretical developments. Most of these studies were concerned with systems…

Soft Condensed Matter · Physics 2020-12-07 Hadrien Bense , Benoît Roman , Bruno Andreotti

Dielectric elastomers are widely studied for their use in robotic and medical devices due to their shape changing properties. Recently, they have also been incorporated into acoustic devices, motivating the development of an electroacoustic…

Fluid Dynamics · Physics 2023-06-07 C. Solano , Y. Zhang , L. N. Cattafesta

Soft electrohydraulic actuators known as HASEL actuators have attracted widespread research interest due to their outstanding dynamic performance and high output power. However, the displacement of electrohydraulic actuators usually…

Robotics · Computer Science 2024-02-28 Quan Xiong , Xuanyi Zhou , Dannuo Li , Raye Chen-Hua Yeow

This paper presents an interaction control algorithm for a dielectric elastomer membrane actuator. The proposed method permits efficient exploitation of the controllable stiffness of the material, allowing to use the membrane as a…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Gianluca Rizzello , Francesco Ferrante , David Naso , Stefan Seelecke

We analyse here the problem of large deformation of dielectric elastomeric membranes under coupled electromechanical loading. Extremely large deformations (enclosed volume changes of 100 times and greater) of a toroidal membrane are studied…

Soft Condensed Matter · Physics 2021-04-14 Zhaowei Liu , Andrew McBride , Basant Lal Sharma , Paul Steinmann , Prashant Saxena

We consider semi-discrete discontinuous Galerkin approximations of a general elastodynamics problem, in both {\it displacement} and {\it displacement-stress} formulations. We present the stability analysis of all the methods in the natural…

Numerical Analysis · Mathematics 2013-10-31 Paola F. Antonietti , Blanca Ayuso de Dios , Ilario Mazzieri , Alfio Quarteroni

We investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental…

Soft Condensed Matter · Physics 2018-10-04 Yipin Su , Bin Wu , Weiqiu Chen , Michel Destrade

Several experiments have demonstrated the existence of an electro-mechanical effect in many biological tissues and hydrogels, and its actual influence on growth, migration, and pattern formation. Here, to model these interactions and…

Soft Condensed Matter · Physics 2020-07-07 Yangkun Du , Yipin Su , Chaofeng Lu , Weiqiu Chen , Michel Destrade

The design and control of soft robots operating in fluid environments requires a careful understanding of the interplay between large elastic body deformations and hydrodynamic forces. Here we show that this interplay leads to novel…

Soft Condensed Matter · Physics 2025-10-22 Mohamed Warda , Ronojoy Adhikari

We prove error estimates for a finite element approximation of viscoelastic dynamics based on continuous Galerkin in space and time, both in energy norm and in $L^2$ norm. The proof is based on an error representation formula using a…

Numerical Analysis · Mathematics 2024-03-26 Martin Björklund , Karl Larsson , Mats G. Larson

We present a new finite deformation, dynamic finite element model that incorporates surface tension to capture elastocapillary effects on the electromechanical deformation of dielectric elastomers. We demonstrate the significant effect that…

Soft Condensed Matter · Physics 2016-04-14 Saman Seifi , Harold S. Park

We generalize the conditions for stable electrodeposition at isotropic solid-solid interfaces using a kinetic model which incorporates the effects of stresses and surface tension at the interface. We develop a stability diagram that shows…

Materials Science · Physics 2017-11-07 Zeeshan Ahmad , Venkatasubramanian Viswanathan

We establish an exponential stabilization result for linear port-Hamiltonian systems of first order with quite general, not necessarily continuous, energy densities. In fact, we have only to require the energy density of the system to be of…

Analysis of PDEs · Mathematics 2018-09-05 Jochen Schmid

In this paper, the stability of longitudinal vibrations for transmission problems of two smart-system designs are studied: (i) a serially-connected Elastic-Piezoelectric-Elastic design with a local damping acting only on the piezoelectric…

Analysis of PDEs · Mathematics 2024-03-20 Mohammad Akil , Serge Nicaise , Ahmet Özkan Özer , Virginie Régnier