Category: Physics

Summary: Finding the disorder strength where alternating boundary arcs recapture a prestress-rescued soft mode in a shell-like mechanical operator.

Prestress can rescue soft modes in shell-inspired metamaterials, but patterned boundary features may pull those modes back into localized edge structures. This experiment asks when alternating antiphase arcs become strong enough to recapture a rescued shell soft mode in the presence of disorder.

The model constructs a dense shell operator with prestress, brace offsets, shell gradients, correlated disorder, and arc-localized couplings. GPU eigensolves, iterative deepening, and bisection on the arc-control parameter are used to locate the point where localization shifts from the shell body to the antiphase arcs according to mass and ratio thresholds.

That turns a qualitative soft-mode picture into a threshold problem. Instead of only showing that prestress and edge patterning matter, the experiment tries to pinpoint when patterned boundary structure overtakes shell rescue as the dominant localization mechanism.

Method: GPU dense eigensolves with iterative deepening and bisection on antiphase-arc strength in a prestressed disordered shell operator.

What is measured: Arc localization, shell mass, arc mass, antiphase shell ratio, minimum eigenvalue, and the capture threshold.