Lec 20: Stability analysis in highly deformable electro elastic and magenetoelastic structures скачать в хорошем качестве

Lec 20: Stability analysis in highly deformable electro elastic and magenetoelastic structures

The video was recorded as a part of the "Mechanics Lecture Series" of "The Mechanics Discussions" forum. This recording is of Lecture 20 on "Stability analysis of highly deformable electroelastic and magnetoelastic structures" and presented by Dr. Prashant Saxena (University of Glasgow, UK). Website of Dr. Prashant Saxena: https://sites.google.com/view/solid-m... Abstract of the lecture In recent years, highly deformable electroelastic and magnetoelastic composite materials have been developed that can undergo significant deformation in the presence of electromagnetic fields. Large deformation in structures are often accompanied by material and structural instabilities that have traditionally been a source of structural failure. In these novel soft materials, “reversible” instabilities can be exploited as a design feature to develop multifunctional components. In this presentation, I will first discuss the mathematical models currently used to describe nonlinear electro-mechanical and magneto-mechanical coupling in soft elastomers. I will then discuss the fundamental techniques to model instabilities based on variational principles and on the tension field theory. Finally, I will present some recent results on modelling limit point, wrinkling, and symmetry-breaking instabilities in the inflation of thin electroelastic and magnetoelastic membranes. Related publications 1. Reddy, N. H., & Saxena, P. (2017). “Limit points in the free inflation of a magnetoelastic toroidal membrane,” International Journal of Non-Linear Mechanics, 95, 248–263. 2. Reddy, N. H., & Saxena, P. (2018). “Instabilities in the axisymmetric magnetoelastic deformation of a cylindrical membrane,” International Journal of Solids and Structures, 136–137, 203–219. 3. Liu, Z., McBride, A.T., Sharma, B.L., Steinmann, P., Saxena, P. (2021) “Coupled electro-elastic deformation and instabilities of a toroidal membrane”, Journal of the Mechanics and Physics of Solids, doi: 10.1016/j.jmps.2020.104221