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Fan Xu's picture

Special Issue on Instability and Bifurcation in Materials and Structures comes out

Dear Colleagues,

After one-year effort, we are happy to announce that the SI on Instability and Bifurcation in Materials and Structures is now completed and comes out online (

Pradeep Sharma's picture

A tutorial on the electrostatics of deformable materials with a focus on stability and bifurcation analysis

The attached tutorial paper is yet unpublished but I am posting a pre-print since several students I know have found it to be a useful pedagogical resource. You may also access the document on arXiv.

Here is the abstract.

Fan Xu's picture

A modeling and resolution framework for wrinkling in hyperelastic sheets at finite membrane strain

Wrinkles commonly occur in uniaxially stretched rectangular hyperelastic membranes with clamped-clamped boundaries, and can vanish upon excess stretching. Here we develop a modeling and resolution framework to solve this complex instability problem with highly geometric and material nonlinearities. We extend the nonlinear Foppl-von Karman thin plate model to finite membrane strain regime for various compressible and incompressible hyperelastic materials.

Fan Xu's picture

Photo-controlled patterned wrinkling of liquid crystalline polymer films on compliant substrates

Photo-chromic liquid crystalline polymer (LCP) is a type of smart materials which are sensitive to light. Here we harness its photo-mechanical response to flexibly control surface patterning, through modeling a film involving homeotropic nematic liquid crystals with director perpendicular to the polymer film attached on a compliant substrate. Theoretical and numerical analyses were conducted to explore the surface instability of such film/substrate systems under both uniform and non-uniform illuminations by ultraviolet (UV) light, respectively.

Francesco Dal Corso's picture

Mini-Symposium on "Mechanics and Physics of Solids and Structures" within ESMC2018, Bologna (Italy), July 2-6, 2018 (Abstract submission deadline: November 15th, 2017)

We would like to invite you to participate in the Mini-Symposium on "Mechanics and Physics of Solids and Structures" within "ESMC2018 - 10th European Solid Mechanics Conference" in Bologna (Italy), July 2-6, 2018.

The deadline for abstract submission is November 15th, 2017.

Mini-symposium Organizers
Sebastien Neukirch (CNRS/UPMC),
Benoit Roman (CNRS/UPMC),
Keith Seffen (University of Cambridge),
Francesco Dal Corso (University of Trento)

Mike Ciavarella's picture

GADeS Summer School on Stability and Bifurcation of Dynamical Systems: Theoretical Aspects and Applications

Dinamica e stabilità

First announcement of
GADeS Summer School on

Stability and Bifurcation of Dynamical Systems:
Theoretical Aspects and Applications

July 3-7, 2017, Savona, Italy


WaiChing Sun's picture

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

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.'s picture

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

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.

Fan Xu's picture

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

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

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.

Davide Bigoni's picture

What are the boundary conditions of an elastic rod at a clamp moving on a perfectly smooth and rigid circular profile?

What are the boundary conditions of an elastic rod at a clamp moving on a perfectly smooth and rigid circular profile?

The tangential shear at the clamp turns out to not be null!


WaiChing Sun's picture

Journal Club Theme of September 2014: Numerical modeling of thermo-hydro-mechanical coupling processes in porous media

Thermo-hydro-mechanics (THM) is a branch of mechanics aimed to predict how deformable porous media behave, while heat transfer and fluid transport simultaneously occur in the pores filled by liquid and/or gas. Understanding these multi-physical responses is important for a wide spectrum of modern engineering applications, such as tissue scaffolding, geothermal heating, mineral exploration and mining, hydraulic fracture, energy piles, tunneling with frozen soil and nuclear waste storage and management.

Bathe's subspace iteration, how to find the largest eigenvalue/mode?

Does anyone know how to modify Bathe's subspace iteration eigensolver to compute the highest eigenvalue instead of the smallest ?

Oleg Kirillov's picture

Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations

Bringing together 18 chapters written by leading experts in dynamical systems, operator theory, partial differential equations, and solid- and fluid mechanics, this book presents state-of-the-art approaches to a wide spectrum of new and challenging stability problems.


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