A 2011 paper by Zaccaria et al.
This phenomenon is said to occur when the primary equilibrium path bifurcates into two secondary paths. A 2011 paper by Zaccaria et al. demonstrates that this phenomenon can occur in tension when a structural member is divided by a "slider." "Snap-through" is sometimes considered a form of this phenomenon although it occurs at a limit point rather than the usual bifurcation point. A formula for determining the onset of this phenomenon in plates has a leading coefficient which depends on the (*) "wavelength" parameter, and asymptotically approaches 4 as aspect ratio increases. Classically, this phenomenon happens when the load exceeds pi-squared times stiffness divided by effective length squared, a formula named for Euler. For 10 points, identify this failure mode, which most commonly occurs when a slender column fails below its ultimate strength when loaded in compression.
This phenomenon is said to occur when the primary equilibrium path bifurcates into two secondary paths.
buckling [prompt on failure before mention]