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The control of the magnetic properties of shapeable devices and themanipulation of flexible structures by external magnetic fields is a keystoneof future magnetoelectronics-based devices. This work studies the elasticproperties of a magnetoelastic nanodisc that hosts a meron as the magneticstate and can be deformed from structures with positive to negative Gaussiancurvature. We show that the winding number of the hosted meron is crucial todetermine the curvature sign of the stable obtained shape. Additionally, weshow that the optimum curvature reached by the nanodisc depends on geometricaland mechanical parameters. It is shown that an increase in the external radius,thickness, and Young's modulus lead to a decrease in the optimum curvatureabsolute value. Finally, it is shown that the nanodisc's shape also depends onthe connection between the polarity and chirality of the vortex-like meron.

Manipulating the shape of flexible magnetoelastic nanodiscs with meron-like magnetic states