Fig. 1: Modes of strain accessible to epitaxial films vs free-standing membranes.
From: Epitaxy, exfoliation, and strain-induced magnetism in rippled Heusler membranes

a Piezomagnetism and magnetostriction are magnetic responses to uniform strain (ϵ) and are accessible in thin films. b Flexomagnetism is the response to strain gradients ( ∇ ϵ) and is accessible in ultrathin membranes.