Category: Physics

Summary: Finding when two interior hinge bands recapture a shell-localized soft mode that had been rescued by radial prestress.

Prestress can stabilize or localize soft shell modes, while hinge-like bands can redirect where deformation concentrates. This experiment asks when two competing interior hinge bands become strong enough to recapture a soft mode that radial prestress had previously rescued and localized on the shell.

The script builds dense symmetric disordered elastic operators for a shell-inspired geometry and uses GPU iterative deepening to bisect the recapture threshold. By tracking the softest mode’s localization, it identifies the point where hinge structure overtakes the prestress-based rescue mechanism.

That turns the problem into a competition between two ways of engineering softness. The resulting threshold helps map when a prestress-stabilized design remains robust and when it gives way to hinge-driven localization instead.

Method: GPU dense symmetric eigensolves with iterative deepening and bisection on dual-hinge softening in a prestressed shell operator.

What is measured: Critical dual-hinge recapture threshold, localization of the softest mode, shell-versus-hinge dominance, and bracket width.