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Mechanical instability and interfacial energy drive biofilm morphogenesis

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Enter the password to open this PDF file:. Cancel OK. File name: -. File size: -. Title: -. Author: -. Subject: -. Keywords: -. Creation Date: -. Modification Date: -. Creator: -. PDF Producer: -. PDF Version: -. The black lines are constructed by imposing the compatibility with the external loading i. In a there is no intersection between compatible and equilibrium curves after fracture nucleates. This is interpreted as a nonsmooth transition from a fully coherent to a fully incoherent electrode-electrolyte interface.

Regimes of stable vs unstable delamination at the electrode particle interface are represented. According to Eq. The parameter on the horizontal axis is descriptive of the constitutive behavior of the SE material Young's modulus E s e and of the interface cohesive strength F c. The particle's radius A and cohesive length [ u ] R are the governing length scales for this problem. The contour lines define the stable particle size normalized by the cohesive length. Mechanical stability can also be achieved by increasing the cohesive length or decreasing the particle size.


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For a fixed volume ratio of active material, stability improves with the stiffness of the solid electrolyte. The dependence on the Poisson's ratio is weak, unless the SE material is close to being incompressible. The stress fields are developed during the charging process, where the embedded electrode particle shrinks in size. If elastoplastic constitutive behavior is assumed for the solid electrolyte, the SE shell may undergo plastic flow in proximity to the interface.

The contour lines in Fig.


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  • The result has a weak dependence on the volume fraction of active material, as highlighted by the shift of the contour lines. Such contour lines correspond, from right to left, to increasing volume ratios of active material within the range 0. For any value of SE Poisson's ratio, plasticity will prevent fracture if the yield stress is not greater than half of the fracture strength. Via random walk analysis we calculate the first passage from the center to the surface of a partially delaminated spherical particle. The delaminated surface is treated as a reflective boundary.

    The particle's surface is discretized with triangles and delaminated surfaces are either contiguous or noncontiguous collections of triangles [see panel c ]. A large shift in both mean and standard deviation of the first passage times is observed when delaminated surfaces are contiguous [see panels a and b ].

    The average deintercalation intercalation time increases with delamination; however, the impact on the total charging discharging time may be small, if the particle radius is small compared to the electrode thickness or if the electrolyte is not very conductive. Craig Carter Phys. Materials 2 , — Published 30 October Abstract The interfacial contact between active material and solid electrolyte in a composite electrode limits the kinetics of all-solid-state batteries ASSB.

    Research Areas. Physical Systems. Issue Vol. Authorization Required. Log In. Figure 1 The electrode microstructure is idealized by an assembly of space-filling truncated octahedra. Figure 2 Schematic representation of the 1D analysis carried out. Figure 4 The two plots illustrate the difference between mechanically a unstable and b stable interfaces in the plane defined by the relative crack opening and the relative displacement of the interface.

    Figure 5 Regimes of stable vs unstable delamination at the electrode particle interface are represented. Figure 7 If elastoplastic constitutive behavior is assumed for the solid electrolyte, the SE shell may undergo plastic flow in proximity to the interface. Figure 8 Via random walk analysis we calculate the first passage from the center to the surface of a partially delaminated spherical particle. Sign up to receive regular email alerts from Physical Review Materials.

    Mechanical Instability Induced by the Desiccation of Sessile Drops | Langmuir

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