Category: Physics

Summary: Finding when a staggered defect ladder overtakes an already rescued dual-hinge shell mode and captures the leading soft mode in a disordered prestressed shell operator.

Soft-mode localization in prestressed shells can be guided by hinges or by engineered defect structures, but those control mechanisms are usually studied separately. This experiment asks when a staggered defect ladder becomes strong enough to overcome an existing dual-hinge rescue and pull the leading soft mode away from the hinge-guided structure.

The GPU model builds dense disordered operators for prestressed shells, then uses iterative deepening and eigensolves to locate the threshold for ladder-versus-hinge takeover as system size grows. By following where the soft mode localizes, it treats the problem as a competition between two localization mechanisms rather than as a single instability measurement.

That competition is scientifically useful because engineered shell responses often depend on multiple design features interacting at once. The threshold map identifies when a defect architecture stops merely perturbing the rescued mode and starts controlling it outright.

Method: GPU dense symmetric eigensolves with iterative deepening across increasing shell sizes to bisect the defect-ladder takeover threshold.

What is measured: Critical ladder-capture threshold, localization of the leading soft mode, hinge versus ladder dominance, eigenvalue behavior, and bracket width.