Nonlinear mechanics of elastic structures: rods

Monday, June 17, 2019 - 10:15am - 11:15am
Keller 3-180
Gert van der Heijden (Imperial College London)
We present a geometrically exact equilibrium theory for elastic structures that have in common that they are effectively described by a 1D elastic theory (i.e., an ODE). Apart from the elastic rod this includes higher-dimensional structures such as thin sheets, strips and braids that deform subject to kinematic constraints that can be eliminated to obtain an effective rod with exotic constitutive behaviour.

By parameter continuation we explore phenomena of these 'quasi-rods' such as buckling, (multi)stability, stress localisation and packing under different boundary and loading conditions, thus highlighting the rich interplay between geometry (shape) and mechanics (strength) of these slender structures.