15. Oktober 2024
Eszter Fehér (Budapest University of Technology and Economics)
Mechanical behavior of deformed, load-bearing slender structures
In this talk, I will present three mechanical problems involving slender structures: wrinkling of thin films, kirigami-inspired arches and rods with rotating ends. Each of these problems consists of a thin strip or rod supported at two ends, subjected to external forces and displacements at the supports. As the loads increase, the structure exhibit a new equilibrium configuration that depend on the material properties and the initial geometry.
We study the structural behavior of the new shape by applying additional loads and analyzing the mechanical response. The shape of these structures are described by one and two-dimensional nonlinear second- and fourth-order partial differential equations. To understand the underlying mechanics and explore the resulting geometries, we employ numerical continuation. Our results reveal the intricate, often counterintuitive behavior of these slender structures.