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Elastic deformation due to embedded fluidic networks is currently studied in the context of soft-actuators and soft-robotic applications. In this work, we analyze interaction between the elastic deflection of a slender beam and viscous flow…

Fluid Dynamics · Physics 2015-11-19 Yoav Matia , Amir D. Gat

This work describes models and numerical approximations that describe the mechanical behavior of deformable continua with embedded structural members, such as rigid bodies, beams, shells, etc. The continuum formulation extends an idea first…

Numerical Analysis · Mathematics 2025-09-10 David Portillo , Ignacio Romero

Compression-induced buckling instability of metal thin films on a compliant base result in surface wrinkles. A stiff thin film, perfectly bonded to an infinitely deep pre-stretched dielectric elastomer (DE) substrate, is considered. Linear…

Computational Physics · Physics 2021-08-24 Abhishek Ghosh

We propose a novel phase-field model to predict elastic microphase separation in polymer gels. To this end, we extend the Cahn-Hilliard free-energy functional to incorporate an elastic strain energy and a coupling term. These contributions…

Materials Science · Physics 2025-05-05 Hamza Oudich , Pietro Carrara , Laura De Lorenzis

Some issues that arise when modeling elastic energy for binary alloys are discussed within the context of a Keating model and density functional calculations. The Keating model is based on atomistic modeling of elastic interactions in…

Materials Science · Physics 2015-12-30 Arvind Baskaran , Christian Ratsch , Peter Smereka

A dielectric elastomer whose edges are held fixed will buckle, given sufficient applied voltage, resulting in a nontrivial out-of-plane deformation. We study this situation numerically using a nonlinear elastic model which decouples two of…

Applied Physics · Physics 2018-02-12 Jacob Langham , Hadrien Bense , Dwight Barkley

We develop the mechanics of combined bending and twisting deformation of a one-dimensional filamentous structure with protruding stiff fish-scale-like plates embedded at an angle on the surface. We develop Cosserat kinematic formulation…

Soft Condensed Matter · Physics 2022-01-19 Sanjay Dharmavaram , Hossein Ebrahimi , Ranajay Ghosh

Slender beam-like structures frequently occur in engineering applications and often interact at discrete locations through joints or connectors. Accurate modeling of such interactions is particularly challenging when different numerical…

Computational Engineering, Finance, and Science · Computer Science 2026-04-13 Ivo Steinbrecher , Nora Hagmeyer , Christoph Meier , Alexander Popp

This paper deals with the mathematical modelling of large strain electro-viscoelastic deformations in electro-active polymers. Energy dissipation is assumed to occur due to mechanical viscoelasticity of the polymer as well as due to…

Classical Physics · Physics 2015-02-10 Prashant Saxena , Duc Khoi Vu , Paul Steinmann

This dissertation presents a new coupled electro-mechanical model that is an improvement on the classical parallel-plate approximation. The model employs a hyperbolic function to account for the beam deformed shape and electrostatic field.…

Applied Physics · Physics 2017-08-24 Xi Luo

We present neural network-based constitutive models for hyperelastic geometrically exact beams. The proposed models are physics-augmented, i.e., formulated to fulfill important mechanical conditions by construction, which improves accuracy…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Jasper O. Schommartz , Dominik K. Klein , Juan C. Alzate Cobo , Oliver Weeger

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

We derive a mixed-dimensional 3D-1D formulation of the electrostatic equation in two domains with different dielectric constants to compute, with an affordable computational cost, the electric field and potential in the relevant case of…

Numerical Analysis · Mathematics 2024-10-07 Beatrice Crippa , Anna Scotti , Andrea Villa

We present a stable mixed isogeometric finite element formulation for geometrically and materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation with extensible directors is used. The extensible directors…

Numerical Analysis · Mathematics 2024-11-21 Myung-Jin Choi , Sven Klinkel , Simon Klarmann , Roger A. Sauer

In equilibrium, the physical properties of matter are set by the interactions between the constituents. In contrast, the energy input of the individual components controls the behavior of synthetic or living active matter. Great progress…

Soft Condensed Matter · Physics 2025-08-29 Q. Martinet , Y. Li , A. Aubret , E. Hannezo , J. Palacci

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

Different descriptions used to model a point-defect in an elastic continuum are reviewed. The emphasis is put on the elastic dipole approximation, which is shown to be equivalent to the infinitesimal Eshelby inclusion and to the…

Materials Science · Physics 2018-02-13 Emmanuel Clouet , Céline Varvenne , Thomas Jourdan

The problem of quasistatic and rate-independent evolution of elastic-plastic-brittle delamination at small strains is considered. Delamination processes for linear elastic bodies glued by an adhesive to each other or to a rigid outer…

Numerical Analysis · Mathematics 2012-12-12 C. G. Panagiotopoulos , V. Mantic , T. Roubicek

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

Numerical Analysis · Mathematics 2021-12-14 Shashwat Sharma , Piero Triverio

We propose a dissipative electro-elastic network model (DENM) to describe the dynamics and statistics of electrostatic fluctuations at active sites of proteins. The model combines the harmonic network of residue beads with overdamped…

Biological Physics · Physics 2015-06-03 Daniel R. Martin , S. Banu Ozkan , Dmitry V. Matyushov