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Fall, Abdoulaye (author), Tighe, B.P. (author), Bonn, Daniel (author)We show that foams and emulsions can display a fundamentally different normal response to a simple shear deformation. While foams dilate or push outwards on the shearing surfaces, known as a positive Poynting effect, in emulsions the Poynting effect can have either sign and can be tuned by changing the emulsion properties. We relate the sign...journal article 2022
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Baumgarten, K. (author), Tighe, B.P. (author)We determine how low frequency vibrational modes control the elastic shear modulus of Mikado networks, a minimal mechanical model for semi-flexible fiber networks. From prior work it is known that when the fiber bending modulus is sufficiently small, (i) the shear modulus of 2D Mikado networks scales as a power law in the fiber line density,...journal article 2021
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Saitoh, Kuniyasu (author), Hatano, Takahiro (author), Ikeda, Atsushi (author), Tighe, B.P. (author)We numerically investigate stress relaxation in soft athermal disks to reveal critical slowing down when the system approaches the jamming point. The exponents describing the divergence of the relaxation time differ dramatically depending on whether the transition is approached from the jammed or unjammed phase. This contrasts sharply with...journal article 2020
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Koeze, D.J. (author), Hong, Lingtjien (author), Kumar, Abhishek (author), Tighe, B.P. (author)Numerous soft materials jam into an amorphous solid at a high packing fraction. This nonequilibrium phase transition is best understood in a model system where particles repel when they overlap. Recently, however, it was shown that introducing any finite amount of attraction between particles changes the universality class of the transition....journal article 2020
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Merkel, Matthias (author), Baumgarten, K. (author), Tighe, B.P. (author), Manning, M. Lisa (author)We present an approach to understand geometric-incompatibility–induced rigidity in underconstrained materials, including subisostatic 2D spring networks and 2D and 3D vertex models for dense biological tissues. We show that in all these models a geometric criterion, represented by a minimal length ℓ¯min, determines the onset of prestresses and...journal article 2019
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Saitoh, Kuniyasu (author), Tighe, B.P. (author)We numerically investigate nonlocal effects on inhomogeneous flows of soft athermal disks close to but below their jamming transition. We employ molecular dynamics to simulate Kolmogorov flows, in which a sinusoidal flow profile with fixed wave number is externally imposed, resulting in a spatially inhomogeneous shear rate. We find that the...journal article 2019
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Boschan, J. (author), Luding, Stefan (author), Tighe, B.P. (author)We investigate irreversibility in soft frictionless disk packings on approach to the unjamming transition. Using simulations of shear reversal tests, we study the relationship between plastic work and irreversible rearrangements of the contact network. Infinitesimal strains are reversible, while any finite strain generates plastic work and...journal article 2019
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Baumgarten, K. (author), Tighe, B.P. (author)When elastic solids are sheared, a nonlinear effect named after Poynting gives rise to normal stresses or changes in volume. We provide a novel relation between the Poynting effect and the microscopic Grüneisen parameter, which quantifies how stretching shifts vibrational modes. By applying this relation to random spring networks, a minimal...journal article 2018
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Koeze, D.J. (author), Tighe, B.P. (author)While the large majority of theoretical and numerical studies of the jamming transition consider athermal packings of purely repulsive spheres, real complex fluids and soft solids generically display attraction between particles. By studying the statistics of rigid clusters in simulations of soft particles with an attractive shell, we present...journal article 2018
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Khakalo, Kseniia (author), Baumgarten, K. (author), Tighe, B.P. (author), Puisto, Antti (author)Aqueous foams are an important model system that displays coarsening dynamics. Coarsening in dispersions and foams is well understood in the dilute and dry limits, where the gas fraction tends to zero and one, respectively. However, foams are known to undergo a jamming transition from a fluidlike to a solidlike state at an intermediate gas...journal article 2018
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Baumgarten, K. (author), Tighe, B.P. (author)When weakly jammed packings of soft, viscous, non-Brownian spheres are probed mechanically, they respond with a complex admixture of elastic and viscous effects. While many of these effects are understood for specific, approximate models of the particles' interactions, there are a number of proposed force laws in the literature, especially for...journal article 2017
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Dagois-Bohy, S (author), Somfai, Ellák (author), Tighe, B.P. (author), van Hecke, Martin (author)Solids deform and fluids flow, but soft glassy materials, such as emulsions, foams, suspensions, and pastes, exhibit an intricate mix of solid- and liquid-like behavior. While much progress has been made to understand their elastic (small strain) and flow (infinite strain) properties, such understanding is lacking for the softening and yielding...journal article 2017
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Baumgarten, K. (author), Vagberg, D.L.S. (author), Tighe, B.P. (author)We use simulations of frictionless soft sphere packings to identify novel constitutive relations for linear elasticity near the jamming transition. By forcing packings at varying wavelengths, we directly access their transverse and longitudinal compliances. These are found to be wavelength dependent, in violation of conventional (local)...journal article 2017
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Vagberg, D.L.S. (author), Tighe, B.P. (author)We use simulations to probe the flow properties of dense two-dimensional magnetorheological fluids. Prior results from both experiments and simulations report that the shear stress σ scales with strain rate as σ ∼ <sup>1-Δ</sup>, with values of the exponent ranging between 2/3 < Δ ≤ 1. However it remains unclear what properties of the...journal article 2017
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Boschan, J. (author), Vasudevan, Siddarth A. (author), Boukany, P. (author), Somfai, Ellák (author), Tighe, B.P. (author)We report the results of molecular dynamics simulations of stress relaxation tests in athermal viscous soft sphere packings close to their unjamming transition. By systematically and simultaneously varying both the amplitude of the applied strain step and the pressure of the initial condition, we access both linear and nonlinear response...journal article 2017
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van Deen, MS (author), Tighe, B.P. (author), van Hecke, M (author)We probe the onset and effect of contact changes in two-dimensional soft harmonic particle packings which are sheared quasistatically under controlled strain. First, we show that, in the majority of cases, the first contact changes correspond to the creation or breaking of contacts on a single particle, with contact breaking overwhelmingly...journal article 2016
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Boschan, J. (author), Vagberg, D.L.S. (author), Somfai, Ellák (author), Tighe, B.P. (author)The shear response of soft solids can be modeled with linear elasticity, provided the forcing is slow and weak. Both of these approximations must break down when the material loses rigidity, such as in foams and emulsions at their (un)jamming point-suggesting that the window of linear elastic response near jamming is exceedingly narrow. Yet...journal article 2016
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Van Deen, M.S. (author), Simon, J. (author), Zeravcic, Z. (author), Dagois-Bohy, S. (author), Tighe, B.P. (author), Van Hecke, M. (author)We probe the onset and effect of contact changes in soft harmonic particle packings which are sheared quasistatically. We find that the first contact changes are the creation or breaking of contacts on a single particle. We characterize the critical strain, statistics of breaking versus making a contact, and ratio of shear modulus before and...journal article 2014
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Goodrich, C.P. (author), Dagois-Bohy, S. (author), Tighe, B.P. (author), Van Hecke, M. (author), Liu, A.J. (author), Nagel, S.R. (author)Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in pressure. As with any phase transition, the rounding of such behavior in finite systems close to the transition...journal article 2014
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Tighe, B.P. (author)he isostatic state plays a central role in organizing the response of many amorphous materials. We construct a diverging length scale in nearly isostatic spring networks that is defined both above and below isostaticity and at finite frequencies and relate the length scale to viscoelastic response. Numerical measurements verify that proximity to...journal article 2012
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