The necking instability is a precursor to tensile failure and rupture of materials. A quasistatically loaded free-standing uniaxial specimen typically exhibits at single location, thus corresponding long wavelength bifurcation mode. If confined substrate or embedded in matrix the same filament can exhibit periodic fragmentation creating segments finite length. While such instabilities have been...

Localized pattern formations and "two-phase" deformations are studied theoretically in soft compressible cylinders subject to surface tension axial loading through several force-controlled scenarios. By drawing upon known results for separate yet mathematically similar elastic localization problems, a concise family of analytical bifurcation conditions localized bulging or necking derived terms...