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In this work we study the mass-spring system \begin{equation} \ddot x + \alpha \dot x + x = - \frac{\lambda} {(1+x)^{2}}, \label{e:inertia} \end{equation} which is a simplified model for an electrostatically actuated MEMS device. The static…

Classical Analysis and ODEs · Mathematics 2016-03-08 Gilberto Flores

Dielectric elastomer actuators have become one of the most important smart material transducers in recent times. One of the crucial aspects in this field is the application of bias to find the best operating conditions. The basic task is to…

Systems and Control · Electrical Eng. & Systems 2023-08-23 Jakub Bernat , Jakub Kolota , Piotr Gajewski , Agnieszka Marcinkowska

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

Soft Condensed Matter · Physics 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

Elastomers that can sustain large reversible strain are essential components for stretchable electronics. The stretchability and mechanical robustness of unfilled elastomers can be enhanced by introducing easier-to-break cross-links, e.g.…

Soft Condensed Matter · Physics 2020-01-20 Yikai Yin , Nicolas Bertin , Yanming Wang , Zhenan Bao , Wei Cai

Non-conservative loads of the follower type are usually believed to be the source of dynamic instabilities such as flutter and divergence. It is shown that these instabilities (including Hopf bifurcation, flutter, divergence, and…

Classical Physics · Physics 2024-01-05 Alessandro Cazzolli , Francesco Dal Corso , Davide Bigoni

When quickly detaching an elastomer from a counterface, viscoelasticity dramatically increases the perceived adhesion relative to its adiabatic or equilibrium value. Here, we report simulations on the sticking contact between a rigid…

Soft Condensed Matter · Physics 2022-05-04 Martin H. Müser , Bo N. J. Persson

Mechanical stresses are increasingly found to be associated with various biological functionalities. At the same time, topological defects are being identified across a diverse range of biological systems and are points of localized…

Soft Condensed Matter · Physics 2023-12-08 Lasse Bonn , Aleksandra Ardaševa , Amin Doostmohammadi

We study the non-monotonic force-extension behaviour of helical ribbons using a new model for inextensible elastic strips. Unlike previous rod models our model predicts hysteresis behaviour for low-pitch ribbons of arbitrary material…

Soft Condensed Matter · Physics 2008-08-18 E. L. Starostin , G. H. M. van der Heijden

A predicting model for soft Dielectric Elastomer Generators (DEGs) must consider a realistic model of the electromechanical behaviour of the elastomer filling, the variable capacitor and of the electrical circuit connecting all elements of…

Soft Condensed Matter · Physics 2016-09-20 Eliana Bortot , Ralf Denzer , Andreas Menzel , Massimiliano Gei

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

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…

Analysis of PDEs · Mathematics 2024-12-17 Thuyen Dang , Yuliya Gorb , Silvia Jiménez Bolaños

High-density polyethylene (HDPE) thin films, while inherently ductile, exhibit poor flaw tolerance. Our experiments show that they fail prematurely not at the point of maximum stretch, but at the boundary of a necked region or notch-tip…

Materials Science · Physics 2025-09-23 Rahul G. Ramachandran , Zachary Kushnir , Deepak Langhe , Sachin S. Velankar , Spandan Maiti

Colloidal suspensions in industrial processes often exhibit shear thickening that is difficult to control actively. Here, we use piezoelectric transducers to apply acoustic perturbations to dynamically tune the suspension viscosity in the…

Soft Condensed Matter · Physics 2019-09-19 Prateek Sehgal , Meera Ramaswamy , Itai Cohen , Brian J. Kirby

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…

Soft Condensed Matter · Physics 2023-02-21 Yibin Fu , Xiang Yu

Piezoelectricity, the generation of electric charge in response to mechanical stress, is a key property in both natural and synthetic materials. This study significantly boosts the piezoelectric response of chitosan, a biodegradable…

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

A slender thread of elastic hydrogel is susceptible to a surface instability that is reminiscent of the classical Rayleigh-Plateau instability of liquid jets. The final, highly nonlinear states that are observed in experiments arise from a…

Soft Condensed Matter · Physics 2020-12-16 Anupam Pandey , Minkush Kansal , Miguel A. Herrada , Jens Eggers , Jacco H. Snoeijer

Elastomers are viscoelastic materials and their properties significantly depend on the loading rate. The actual stress experienced by these materials is the sum of equilibrium and dissipative (inelastic) terms. At very low loading rates we…

Soft Condensed Matter · Physics 2018-03-14 K. A. Mokhireva , A. L. Svistkov

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,…

Robotics · Computer Science 2026-04-21 Y. Zhao , G. Meng

We propose a model to analyze the insurgence of pull-in and wrinkling failures in electroactive thin films. We take in consideration both cases of voltage and charge control, and study the role of prestretch and size of activated regions,…

Materials Science · Physics 2010-04-29 D. De Tommasi , G. Puglisi , G. Saccomandi , G. Zurlo