A Study of Equilibria of Interconnected Balloons

Finite Inflation Analysis of Two Circumferentially Bonded Hyperelastic Circular Flat Membranes

“…This seemingly counterintuitive behavior may be traced to the existence of the limiting pressure point in hyperelastic membranes. This phenom enon has also been observed and studied in a different context (inflation of connected balloons) previously by Dreyer et al [47] (see also Ref. [48]).…”

“…This observation has similarity with those reported earlier in Refs. [47] and [48] in a different context. The reason for this counterintuitive phenomenon may be related to the limit point instability phenom enon in hyperelastic membranes [49].…”

The behavior of a many-particle electrode in a lithium-ion battery

“…where R is the radius of the undeformed balloon and α > 0 and β > 0 are related to the initial thickness of the balloon and to the elastic constants of rubber; more details are found in [13,23]. The function (48) is represented in Fig.…”

“…The analysis of the balloon system has already been started in 1982 by Dreyer et al [13], where the equilibria of two interconnected spherical balloons were studied.…”

Single-Input Control of Multiple Fluid-Driven Elastic Actuators via Interaction Between Bistability and Viscosity

“…Importantly, in many of these works, each element has its own control input for inducing transitions between its bi-stable states [13,14,18]. Other works consider systems with a single control input [11,12,[15][16][17] or no input [19,20] (network with closed fluid domain), but do not allow for arbitrary control of transitions. The work [21] achieved a desired specific sequence of reversible state transitions of the bistable elements due to pre-planned mechanical tuning, but is also incapable of controlling and enforcing any desired cyclic and irreversible sequence of states without modifying the system's tuning.…”