Delayed elastic contributions to the viscoelastic response of foams

Francois A Lavergne; Peter Sollich; V Trappe

Delayed elastic contributions to the viscoelastic response of foams

Francois A Lavergne, Peter Sollich, V Trappe

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Abstract

We show that the slow viscoelastic response of a foam is that of a power-law fluid with a terminal relaxation. Investigations of the foam mechanics in creep and recovery tests reveal that the power-law contribution is fully reversible, indicative of a delayed elastic response. We demonstrate how this contribution fully accounts for the non-Maxwellian features observed in all tests probing the linear mechanical response function. The associated power-law spectrum is consistent with Soft Glassy Rheology of systems with mechanical noise temperatures just above the glass transition [S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000)] and originates from a combination of superdiffusive bubble dynamics and stress diffusion, as recently evidenced in simulations of coarsening foam [H. J. Hwang, R. A. Riggleman, and J. C. Crocker, Nat. Mater. 15, 1031 (2016)].

Original language	English
Journal	The Journal of chemical physics
Publication status	Accepted/In press - 21 Mar 2022

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title = "Delayed elastic contributions to the viscoelastic response of foams",

abstract = "We show that the slow viscoelastic response of a foam is that of a power-law fluid with a terminal relaxation. Investigations of the foam mechanics in creep and recovery tests reveal that the power-law contribution is fully reversible, indicative of a delayed elastic response. We demonstrate how this contribution fully accounts for the non-Maxwellian features observed in all tests probing the linear mechanical response function. The associated power-law spectrum is consistent with Soft Glassy Rheology of systems with mechanical noise temperatures just above the glass transition [S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000)] and originates from a combination of superdiffusive bubble dynamics and stress diffusion, as recently evidenced in simulations of coarsening foam [H. J. Hwang, R. A. Riggleman, and J. C. Crocker, Nat. Mater. 15, 1031 (2016)].",

author = "Lavergne, {Francois A} and Peter Sollich and V Trappe",

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language = "English",

journal = "The Journal of chemical physics",

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T1 - Delayed elastic contributions to the viscoelastic response of foams

AU - Lavergne, Francois A

AU - Sollich, Peter

AU - Trappe, V

PY - 2022/3/21

Y1 - 2022/3/21

N2 - We show that the slow viscoelastic response of a foam is that of a power-law fluid with a terminal relaxation. Investigations of the foam mechanics in creep and recovery tests reveal that the power-law contribution is fully reversible, indicative of a delayed elastic response. We demonstrate how this contribution fully accounts for the non-Maxwellian features observed in all tests probing the linear mechanical response function. The associated power-law spectrum is consistent with Soft Glassy Rheology of systems with mechanical noise temperatures just above the glass transition [S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000)] and originates from a combination of superdiffusive bubble dynamics and stress diffusion, as recently evidenced in simulations of coarsening foam [H. J. Hwang, R. A. Riggleman, and J. C. Crocker, Nat. Mater. 15, 1031 (2016)].

AB - We show that the slow viscoelastic response of a foam is that of a power-law fluid with a terminal relaxation. Investigations of the foam mechanics in creep and recovery tests reveal that the power-law contribution is fully reversible, indicative of a delayed elastic response. We demonstrate how this contribution fully accounts for the non-Maxwellian features observed in all tests probing the linear mechanical response function. The associated power-law spectrum is consistent with Soft Glassy Rheology of systems with mechanical noise temperatures just above the glass transition [S. M. Fielding, P. Sollich, and M. E. Cates, J. Rheol. 44, 323 (2000)] and originates from a combination of superdiffusive bubble dynamics and stress diffusion, as recently evidenced in simulations of coarsening foam [H. J. Hwang, R. A. Riggleman, and J. C. Crocker, Nat. Mater. 15, 1031 (2016)].

M3 - Article

SN - 0021-9606

JO - The Journal of chemical physics

JF - The Journal of chemical physics

ER -

Delayed elastic contributions to the viscoelastic response of foams

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