Ballooning, bulging, and necking: An exact solution for longitudinal phase separation in elastic systems near a critical point

Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes

“…As is shown in figure 1, the formation of static localized beads has in fact been observed in these nanotubes [34]. Theoretically, it has been evidenced in the case of a solid cylinder that the beading instability culminates in a 'two-phase' state, or a 'kink-wave' solution, characterized by two sections with distinct but uniform axial stretch connected by a smooth transition zone [35,36]. Moreover, it was determined in [37] that a localized bulging or necking solution will initially occur depending on the loading path.…”

Necking, beading, and bulging in soft elastic cylinders

“…We have checked and verified that the new model given by Lestringant & Audoly (2020) can also be used to derive all the amplitude equations presented in the current paper with perfect agreement. Moreover, the preprint by Giudici & Biggins (2020) overlaps with our analysis in Section 4.1.2 although a different reduction procedure was used. In particular, the equation ( 13) in Giudici & Biggins (2020) is equivalent to our equation (4.29) after a substitution of the dependent variable and control parameter.…”

“…Moreover, the preprint by Giudici & Biggins (2020) overlaps with our analysis in Section 4.1.2 although a different reduction procedure was used. In particular, the equation ( 13) in Giudici & Biggins (2020) is equivalent to our equation (4.29) after a substitution of the dependent variable and control parameter. Finally, we note that localized bulging/necking of cylindrical tubes under the combined action of axial stretching and surface tension has been examined by Wang (2020), with further insight provided by Emery & Fu (2020).…”

Bioinspired soft bendable peristaltic pump exploiting ballooning for high volume throughput

“…In this work, we propose a non-modular design exploiting and controlling the buckling of an elastomeric balloon, known as ballooning. Ballooning is the phenomenon by which balloons, when inflated, rapidly create a localized completely expanded region, with little deformation of the rest of the structure [21]. Theoretically, the position of the ballooned region along the balloon can be easily changed since all possible positions are energetically equivalent [21], [22].…”

“…Ballooning is the phenomenon by which balloons, when inflated, rapidly create a localized completely expanded region, with little deformation of the rest of the structure [21]. Theoretically, the position of the ballooned region along the balloon can be easily changed since all possible positions are energetically equivalent [21], [22]. Our aim is to promote ballooning and then propel the inflated region forward, after which reversing the buckling at the end of the pump to create a peristaltic pumping motion that can then be cycled.…”