bifurcation

We would like to invite you to participate in the Mini-Symposium on "Mechanics and Physics of Structures" within "ESMC2022 - 11th European Solid Mechanics Conference" in Galway (Ireland), July 4-8, 2022.

The deadline for abstract submission is November 19th, 2021.

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

It was reported both in experiments and computations using some classical plate theories that wrinkles can appear in a uniaxially stretched rectangular hyperelastic film with clamped-clamped boundaries and can be suppressed upon further tension. Here, based on a recently-available consistent finite-strain plate theory, we investigate this complex instability problem with isola-center bifurcation (the nontrivial solution curve begins and ends at two distinct points on the trivial line) in more depth and present an efficient numerical algorithm.

Liu, M., Gomez, M., & Vella, D.* (2021). Delayed bifurcation in elastic snap-through instabilities. J Mech. Phys. Solids, 151, 104386.

The attached tutorial paper is yet unpublished but I am posting a pre-print since several students I know have found it to be a useful pedagogical resource.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.

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.

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 EXTENDED deadline for abstract submission is December 10, 2017.

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

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.

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)

Lecturers:

Davide Bigoni - Università di Trento, Italy

Olivier Doaré - ENSTA ParisTech, France

Oleg Kirillov - Russian Academy of Sciences, Steklov Mathematical Institute, Moscow, Russia

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.

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.

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.

F. Xu, Y. Koutsawa, M. Potier-Ferry, S. Belouettar

http://dx.doi.org/10.1016/j.ijsolstr.2015.06.007

Abstract: