bifurcation

Recent interests in curvature- and stress-induced pattern formation and pattern selection motivate the present study. Surface morphological wrinkling of a cylindrical shell supported by a soft core subjected to axial compression is investigated based on a nonlinear 3D finite element model. The post-buckling behavior of core-shell cylinders beyond the first bifurcation often leads to complicated responses with surface mode transitions. The proposed finite element framework allows predicting and tracing these bifurcation portraits from a quantitative standpoint.

Call for Abstracts: 7th ICCM Berkeley - MS-054 Failure and instabilities in soft materials and geomaterials

Submitted by WaiChing Sun on Wed, 01/06/2016 - 10:49

Dear colleagues,

I am writing to invite your contirbution to the mini-symposium on failure and instability in soft materials and geomaterials co-organized by myself, Joshua White, Pencheng Fu, Nikolaos Bouklas, Wei Wang and Christian Linder for the upcoming ICCM conference at Berkeley. More information can be found in the URL listed below.

http://www.sci-en-tech.com/ICCM/index.php/iccm2016/2016/schedConf/track…

Electro-mechanical coupling bifurcation and bulging propagation in a cylindrical dielectric elastomer tube

Submitted by tongqing.lu on Thu, 12/17/2015 - 03:04

dielectric elastomer

bifurcation

electromechanical coupling

This paper explores the critical and post-bulging bifurcation of a cylindrical dielectric elastomer (DE) tube undergoing finite deformation under electro-mechanical coupling loading. Explicit expressions for the critical conditions of electro-mechanical bifurcation are derived by using a simplified mathematical method. The post-bifurcation path is comprehensively investigated by specifying the material model as ideal dielectric elastomer.

A multi-scale modeling framework for instabilities of film/substrate systems

Submitted by Fan Xu on Tue, 10/27/2015 - 10:06

Spatial pattern formation in stiff thin films on soft substrates is investigated from a multi-scale point of view based on a technique of slowly varying Fourier coefficients. A general macroscopic modeling framework is developed and then a simplified macroscopic model is derived. The model incorporates Asymptotic Numerical Method (ANM) as a robust path-following technique to trace the post-buckling evolution path and to predict secondary bifurcations.

Shape Bifurcation of a Spherical Dielectric Elastomer Balloon under the Actions of Internal Pressure and Electric Voltage

Submitted by Xudong Liang on Wed, 09/09/2015 - 17:35

Under the actions of internal pressure and electric voltage, a spherical dielectric elastomer balloon usually keeps a sphere during its deformation, which has also been assumed in many previous studies. In this article, using linear perturbation analysis, we demonstrate that a spherical dielectric elastomer balloon may bifurcate to a nonspherical shape under certain electromechanical loading conditions.