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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

Extra-large deformations in ultra-soft elastic materials are ubiquitous, yet systematic studies and methods to understand the mechanics of such huge strains are lacking. Here we investigate this complex problem systematically with a simple…

材料科学 · 物理学 2017-01-04 Aditi Chakrabarti , Manoj K. Chaudhury , Serge Mora , Yves Pomeau

Characterizing the elastic properties of soft materials through bulge testing relies on accurate measurement of deformation, which is experimentally challenging. To avoid measuring deformation, we propose a hydrodynamic bulge test for…

软凝聚态物质 · 物理学 2020-03-17 Vishal Anand , Sanjan C. Muchandimath , Ivan C. Christov

We derive the effective energy density of thin membranes of liquid crystal elastomers as the Gamma-limit of a widely used bulk model. These membranes can display fine-scale features both due to wrinkling that one expects in thin elastic…

偏微分方程分析 · 数学 2015-09-02 Pierluigi Cesana , Paul Plucinsky , Kaushik Bhattacharya

We study large deformations of hyperelastic membranes using a purely two-dimensional formulation derived from basic balance principles within a modern geometric setting, ensuring a framework that is independent of an underlying…

软凝聚态物质 · 物理学 2025-09-22 Claudia Grabs , Werner Wirges

This paper presents an electromechanical analysis of the nonlinear static response and the superimposed small-amplitude wave characteristics in an infinite periodic compressible dielectric elastomer (DE) laminate subjected to electrostatic…

软凝聚态物质 · 物理学 2021-07-26 Yingjie Chen , Bin Wu , Yipin Su , Weiqiu Chen

In a companion article (Part 1), we presented the development of a thick continuum-based (CB) shell finite element (FE) based on Mindlin-Reissner theory. We verified the accuracy, efficiency and locking insensitivity of the element in…

数值分析 · 数学 2018-01-15 Bahareh Momenan , Michel R. Labrosse

Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness.…

数值分析 · 数学 2025-03-20 H. M. Verhelst , M. Möller , J. H. Den Besten

This study investigates the coupled deformation and flow behavior of thin, hyper-elastic, porous membranes subjected to pressure loading. Using bulge test experiments, optical deformation measurements, and flow rate characterization, we…

流体动力学 · 物理学 2026-01-19 Alexander Gehrke , Zoe King , Kenneth S. Breuer

A new hyperelastic membrane material model is proposed for single layer blue phosphorus ($\beta\text{-P}$), also known as blue phosphorene. The model is fully nonlinear and captures the anisotropy of $\beta\text{-P}$ at large strains. The…

材料科学 · 物理学 2019-02-15 Reza Ghaffari , Farzad Shirazian , Ming Hu , Roger A. Sauer

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

软凝聚态物质 · 物理学 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

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…

软凝聚态物质 · 物理学 2018-10-04 Yipin Su , Bin Wu , Weiqiu Chen , Michel Destrade

We developed a physics-based analytical model to describe the nonlinear mechanical response of aspirated elastic shells. By representing the elastic energy through a stretching modulus, $K$, and a dimensionless ratio, $\delta$, capturing…

软凝聚态物质 · 物理学 2025-05-01 Kazutoshi Masuda , Miho Yanagisawa

We propose a novel variationally consistent membrane wrinkling model for analyzing the mechanical responses of wrinkled thin membranes. The elastic strain energy density is split into tensile and compressive terms via a spectral…

数值分析 · 数学 2024-09-23 Daobo Zhang , Josef Kiendl

For the finite element simulation of thin soft biological tissues in dynamics, shell elements, compared to volume elements, can capture the whole tissue thickness at once, and feature larger critical time steps. However, the capabilities of…

数值分析 · 数学 2018-01-15 Bahareh Momenan , Michel R. Labrosse

Active control of wrinkling in soft film-substrate composites using electric fields is a critical challenge in tunable material systems. Here, we investigate the electro-mechanical instability of a soft dielectric film bonded to a…

软凝聚态物质 · 物理学 2026-04-14 Bin Wu , Linghao Kong , Weiqiu Chen , Davide Riccobelli , Michel Destrade

A new nonlinear hyperelastic bending model for shells formulated directly in surface form is presented, and compared to four prominently used bending models. Through an essential set of elementary nonlinear bending test cases, the stresses…

计算工程、金融与科学 · 计算机科学 2023-04-20 Eshwar J. Savitha , Roger A. Sauer

Highly compressible solids, such as foams, exhibit complex responses, including pronounced tension-compression asymmetry. Capturing such behaviors within unified hyperelastic frameworks remains challenging. Invariant-based hyperelastic…

计算工程、金融与科学 · 计算机科学 2026-04-17 Miguel Angel Moreno-Mateos , Simon Wiesheier , Paul Steinmann , Ellen Kuhl

A number of important results of studying large deformations of hyper-elastic shells are obtained using discrete methods of mathematical physics. In the present paper, using the variational method for solving nonlinear boundary problems of…

偏微分方程分析 · 数学 2015-06-26 V. A. Trotsenko

Hyperelastic materials models are well established to describe the non-linear stress-strain relations of elastomers. In this paper, a polyurethane adhesive is considered as an exemplary material and subjected to tensile, compressive and…

软凝聚态物质 · 物理学 2018-05-29 Olaf Hesebeck , Andreas Wulf
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