Category: Physics

Summary: Finding the prestress-gradient level where the softest mode in a disordered metamaterial relocalizes from the boundary to a central hinge band.

Prestressed metamaterials can host soft modes near boundaries, but hinge-rich interior regions may compete for that same localization. This experiment asks when a growing prestress gradient is strong enough to pull the softest mode away from shell-like support and into a hinge-centered band.

The calculation builds dense symmetric operators for disordered layered metamaterials with both shell and hinge structure. It bisects the gradient parameter across increasing sizes and checks where the lowest mode becomes hinge localized.

That provides a clean crossover map between two mechanisms for concentrating soft response. Rather than choosing one architecture or the other, the experiment measures the point where one wins.

Method: Dense symmetric eigensolve with iterative deepening and bisection on prestress gradient in a layered hinge-shell metamaterial operator.

What is measured: Critical prestress-gradient threshold, hinge localization of the softest mode, shell support, system size reached, and bracket width.