Torsional rigidity for cylinders with a Brownian fracture

M. van den Berg, F. den Hollander

We obtain bounds for the expected loss of torsional rigidity of a cylinder ${\Omega }_L=(-L/2,L/2)\times \Omega \subset {\mathbb{R}}^3$ of length $L$ due to a Brownian fracture that starts at a random po…