Category: Physics

Summary: Finding when central hinge softening overtakes boundary prestress and captures the softest mode in a disordered metamaterial.

Boundary prestress and internal hinges can both create compliant regions in a mechanical metamaterial, but they need not dominate at the same parameter values. This experiment asks when a central hinge region becomes strong enough to capture the softest mode away from a boundary that is already softened by prestress.

The model builds dense symmetric elastic operators with fixed boundary prestress and tunable hinge softening, then uses GPU iterative deepening to locate the relocalization threshold. The observable of interest is the position of the softest mode, not just the minimum eigenvalue, so the experiment identifies where compliance actually resides.

That makes the result a competition map between two design mechanisms for soft behavior. It is useful for understanding how local interior features can override boundary-engineered response in disordered metamaterials.

Method: GPU dense symmetric eigensolves with iterative deepening and bisection on hinge softening against fixed boundary prestress.

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