We announce that the AIMETA Group Conference "Dynamics and Stability" GADeS 2023 will be held in L'Aquila on 11-12 September 2023.
Participation is free, with no registration fee.
Presentation abstracts will be sent by March 31, 2023 to the email address gades2023aq [at] gmail.com (gades2023aq[at]gmail[dot]com)
The template and all the information (in Italian and English) can be found in the attachment and on the group page on the AIMETA website
The attached tutorial paper is yet unpublished but I am posting a pre-print since several students I know have found it to be a useful pedagogical resource.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.
First announcement of
GADeS Summer School on
Stability and Bifurcation of Dynamical Systems:
Theoretical Aspects and Applications
July 3-7, 2017, Savona, Italy
Paper Accepted for Publication in International Journal for Numerical Methods in Engineering
Consistent and stable meshfree Galerkin methods using the virtual element decomposition
A. Ortiz-Bernardin, A. Russo, N. Sukumar
Abstract
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.
Consider the set of monic fourth-order real polynomials transformed so that the constant term is one. In the three-dimensional space of the coefficients describing this set, the domain of asymptotic stability is bounded by a surface with the Whitney umbrella singularity. The maximum of the real parts of the roots of these polynomials is globally minimized at the Swallowtail singular point of the discriminant surface of the set corresponding to a negative real root of multiplicity four.
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.
This treatise provides a broad overview of the definitions of
fundamental quantities and methods of analysis for the use of solid materials
in structural components. The presentation is limited to the linear elastic
range of material behavior where there is a one to one relationship between
load and displacement. Fundamental
methods of analysis and typical results for structures made of elastic solid materials
subjected to axial, bending, torsion, thermal, and internal pressure loading;
