Localized Transient Jamming in Discontinuous Shear Thickening

Daniel L. Blair; Jeffrey S. Urbach; Vikram Rathee

REVIEW 2 major objections 3 minor 42 references

Localized Transient Jamming in Discontinuous Shear Thickening

T0 review · 2 major / 3 minor · reviewed 2026-08-14 · deepseek-v4-flash

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Pith's one-line read Large fluctuations at the onset of discontinuous shear thickening are localized transitions to a fully jammed, gap-spanning solid that contacts both shearing boundaries.

desk verdict Direct boundary-stress imaging shows DST stress spikes are localized, counter-propagating high-stress events, but the 'fully jammed solid' interpretation is an inference, not a measurement. read the letter →

arxiv 1908.02856 v3 pith:YKU2ZDSK submitted 2019-08-07 cond-mat.soft

Vikram Rathee , Daniel L. Blair , Jeffrey S. Urbach This is my paper · ORCID

classification cond-mat.soft PACS 83.80.Hj83.60.La83.85.Cg

keywords discontinuousshearthickeningboundarystressmicroscopyjammingsolid-likephasedensesuspensionsfluctuationsdilatancyparallel-platerheometry

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

At the onset of discontinuous shear thickening, dense suspensions do not thicken uniformly. This paper shows, by imaging stress across an entire rheometer plate, that the large bursts in bulk stress come from localized patches that briefly turn into nearly solid, gap-spanning jams in direct contact with both shearing surfaces. Each jammed patch quickly fractures into two counter-propagating pieces, one anchored to each plate; the pieces grow, split, and collide, and the collision ends the high-stress event. The same imaging under constant applied stress reveals large boundary-stress fluctuations that ordinary torque-based rheology misses entirely. If correct, the finding turns the bulk DST transition into a spatial, transient jamming phenomenon rather than a homogeneous state change.

What carries the argument

Boundary stress microscopy (BSM) is the central tool: fluorescent tracer beads are embedded on a thin, soft PDMS film, their motion under shear is tracked by particle image velocimetry, and a traction-force inversion converts the film's deformation into a map of shear stress at the suspension boundary. The object it reveals is the solid-like phase (SLP), a localized, gap-spanning region of frictional contacts that behaves like a jammed solid and presses directly against the plates. BSM is what lets the paper connect the bulk rheometer's stress spikes to specific spatial events: nucleation near the outer edge, fracture into two counter-propagating SLPs, growth and bifurcation into band-like remnants, and collision-induced stress collapse.

What would settle it

A reader could settle the central claim by repeating the measurement with a rigid transparent bottom plate or with simultaneous through-gap particle tracking: if the high-stress regions contain particles that keep flowing relative to both boundaries, rather than forming a frozen, gap-spanning solid, then the interpretation of DST bursts as transient jamming events would be refuted.

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Extended reading notes

Core claim

Using boundary stress microscopy over the entire surface of a dense suspension at volume fraction 0.56, the authors find that the intermittent stress spikes in discontinuous shear thickening are not homogeneous bulk events but localized transitions to a state with very high stress, consistent with a fully jammed solid-like phase (SLP) that makes direct frictional contact with the shearing boundaries. The SLP rapidly fractures into two separate regions, one anchored to the bottom plate and moving slowly upstream, the other anchored to the top plate and moving downstream; these regions grow, bifurcate, leave band-like remnants, and eventually collide, at which point the stress abruptly drops. In constant applied stress mode, the same nucleation and bifurcation occurs, but the high-stress regions quickly erode because the shear rate drops below the critical value. The measured average boundary stress closely tracks the rheometer stress at constant shear rate, and the events are accompanied by strong positive normal force, indicating dilatancy. This establishes a direct connection between localized, transient jamming at the boundaries and the macroscopic fluctuations that define DST.

Load-bearing premise

The entire picture rests on the assumption that deformations of the soft elastic boundary, measured by tracking beads, faithfully report the local shear stress at the suspension-boundary interface, and that this compliant boundary does not qualitatively change the jamming dynamics; the paper estimates 10–20% uncertainty in film thickness and modulus, which propagates directly into the inferred stress magnitudes.

Editorial extensions

If this is right

Bulk stress fluctuations at the onset of DST are caused by localized, transient jamming events that contact both plates, not by a homogeneous fluid transition.
Each high-stress event follows a reproducible life cycle: nucleation near the outer edge, fracture into two counter-propagating SLPs, growth and bifurcation into band-like remnants, collision, and annihilation with a sudden stress drop.
In constant-stress mode, the applied torque hides the local stress jumps; boundary stress maps reveal them, so interpreting DST from bulk rheometer torque alone can miss the dominant local physics.
The strong positive normal force during events indicates that dilatancy is an integral part of the jamming cycle, not a side effect.
The spatiotemporal evolution depends on measurement mode: at constant shear rate SLPs grow and collide, while at constant stress they nucleate and quickly erode.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

The DST transition is intrinsically spatiotemporal and boundary-condition dependent, so continuum models must couple local stress, density, and non-affine flow rather than assuming a homogeneous frictional branch.
Boundary compliance may tune event dynamics: stiffer or rougher plates could alter SLP lifetimes, band spacing, and collision frequencies, a testable prediction of this picture.
In constant-stress rheometers, apparent steady-state flow curves in DST may be temporal averages over repeated jamming-erosion cycles, and true local stresses can exceed the applied torque value by orders of magnitude, which matters for interpreting S-shaped flow curves and for process control.
Extending BSM to suspensions with attractive particles or rods could reveal whether the same fracture-collision cycle underlies thickening in those systems.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Read this paper if you care about what actually happens in the suspension during discontinuous shear thickening. The key result is direct: using boundary stress microscopy on the full plate, they show that the large stress spikes at the DST onset are not a bulk average artifact; they are localized high-stress regions that nucleate near the edge, fracture into two counter-propagating pieces, leave band-like traces, and collide. The temporal tracking between the rheometer stress and the summed boundary stress is tight, the normal-force correlation is there, and the control without the PDMS layer shows the compliant boundary is not the cause. That part is solid.

What's genuinely new here is the lifecycle of these events, not previously resolved in DST. The earlier CST work saw propagating high-stress patches; here the authors report a qualitatively different behavior: splitting, opposite motion, and collision. The schematic in Fig. 8 is clearly labeled as an interpretation, and the authors are honest that several steps are hypotheses.

Now the soft spot, and it is real but not disqualifying. BSM measures traction on the boundary, not the suspension's internal velocity, strain, or contact network. The claim that the high-stress regions are 'fully jammed solid-like phases' that span the gap and fracture is an inference drawn from the boundary stress kinematics, the dilatancy signal, and the WC model. A high-viscosity frictional fluid region could arguably produce similar boundary stress patterns. The authors do cite their own prior CST work and note that they previously saw particles stop in the suspension near DST, which supports the jamming interpretation, but in this paper the internal state is not directly observed. The 10-20% uncertainty in film thickness and modulus is a minor caveat for absolute stress values; it does not undermine the relative spatiotemporal structure. The constant-stress mode results nicely show that the boundary stress fluctuates drastically while the rheometer reports constant torque, which is an important point for the community.

Overall, the central observation is well supported, and the interpretation is plausible and clearly marked as such. The paper is honest about what it cannot see. I would send it out; modelers will want to test the SLP mechanism, and experimentalists will want the BSM toolkit.

Referee Report

2 major / 3 minor

Summary. This paper reports spatially resolved measurements of the shear stress transmitted to the bottom boundary of a dense (phi=0.56) colloidal suspension in the discontinuous shear thickening (DST) regime, using boundary stress microscopy (BSM) in a parallel-plate rheometer. At shear rates just above a critical value, the bulk stress exhibits intermittent large spikes; the BSM stress maps show that these spikes correspond to localized high-stress regions nucleated near the plate edge. These regions split into two counter-propagating structures, leave behind band-like high-stress remnants, and subsequently collide and decay. The authors interpret the high-stress regions as fully jammed solid-like phases (SLPs) that make direct frictional contact with the boundaries, and they develop a schematic model (Fig. 8) in which the SLP fractures, the two portions remain anchored to opposite plates, grow, and eventually collide. In constant applied stress mode, BSM reveals transient boundary-stress spikes during abrupt drops in shear rate that are not visible in the (constant) rheometer torque signal.

Significance. If the interpretation is accepted, this is an important experimental contribution: it provides the first direct spatial visualization of transient localized jamming events in DST and shows that bulk stress fluctuations are controlled by boundary-anchored, almost solid regions. The close temporal tracking of the bulk stress by the summed BSM signal, the concurrent normal-force spikes, and the control experiment without the PDMS layer are strong strengths, and the data will be valuable for testing models of shear thickening. The main caveat is that BSM measures boundary traction, not the internal state of the suspension, so the assignment of the high-stress regions to fully jammed solids rather than high-viscosity fluid phases is an inference that needs to be either supported by additional measurements or presented more cautiously.

major comments (2)

[Discussion, 'Model for Dynamics of High Stress Phases' (Fig. 8)] The paper's central narrative—that the high-stress regions are fully jammed, gap-spanning solid-like phases (SLPs) that fracture into two counter-propagating parts and later collide—is not directly supported by the measurements. BSM maps the traction at the compliant boundary, not the velocity, strain, or contact network inside the gap. The observed stress patterns and normal-force spikes are consistent with SLPs, but they are also consistent with localized high-viscosity frictional-fluid patches of the type invoked for CST in the authors' own prior work; the propagation kinematics alone do not distinguish these possibilities. Because the fracture and collision model depends on the regions being actual solids, this distinction is load-bearing. Please either add direct internal measurements (e.g., tracer tracking within the gap during an event) or explicitly present the SLP as a hypothesis throughout, including the abstract, title, and Fig. 8 caption, rather than as a demonstrated fact. Several steps are already labeled as hypotheses in the Discussion, but the abstract states that a 'jammed solid like phase ... is rapidly fractured' as fact.
[Methods (definition of average boundary stress)] The formula ⟨σBSM⟩ = ∫_0^R σθ(r) r dA is dimensionally a torque, not a stress, and the plotted comparison with the rheometer stress σ = 2M/(πR^3) in Figs. 2, 5, and 6 is therefore undefined as written. Please state the normalization explicitly (for example, ⟨σBSM⟩ = (2/(πR^3)) ∫ σθ(r) r dA, or the appropriate area average). This is necessary both for reproducibility and for the claim that the BSM signal quantitatively tracks the bulk stress.

minor comments (3)

[Abstract and Constant Applied Stress section] The abstract says the stress fluctuations are 'completely missed in standard bulk rheology,' but the text later acknowledges that they can be inferred from shear-rate changes with quantitative inertia modeling [32–34]; please soften the abstract to match.
[Fig. 8 caption and Discussion] The text refers to 'dark green spheres' and 'blue spheres' in Fig. 8, but the colors in the schematic are not sufficiently distinct; please add explicit labels or use more contrasting colors.
[Fig. 3A] The onset time 'ti = 247.52' lacks units and a clear reference point; please specify seconds from the start of the measurement.

Circularity Check

0 steps flagged · score 1.0 of 10

No significant circularity: direct experimental measurements; interpretations rely on stated external model and prior observations, not on fitted inputs or definitional reductions.

full rationale

This is an experimental study with no parameter fitting, no derived equation whose output is reused as an input, and no prediction that is equivalent by construction to a fitted quantity. The BSM stress maps are computed from measured elastic substrate deformation via a published traction-force inversion (ref. 31), and the bulk rheometer stress and normal force are independent measurements; the paper explicitly compares the two (Figs. 2 and 5). The central interpretation of localized high-stress regions as gap-spanning solid-like phases is an inference from boundary stress kinematics, normal-force dilatancy, and prior direct imaging of arrested tracers [16], not a renaming of the input stress data. The authors repeatedly flag the inferential and speculative parts ('We hypothesize...', 'It is unclear why...', 'we cannot directly measure local normal stresses'), which indicates that the claim is not being asserted as a definitional consequence of the measurement. Self-citations to the authors' earlier BSM work supply the technique and prior CST context, but the DST-specific observations are new data and the interpretation is grounded in the independently developed Wyart-Cates model [12]. No circular step can be exhibited: no equation in the paper reduces a target result to its own input, and no fitted parameter is relabeled as a prediction. The closest concern is that the SLP interpretation goes beyond what boundary stress alone proves, but that is a correctness/evidential limitation, not circularity.

Assumptions & free parameters 0 free parameters · 4 assumptions · 1 invented entities

The central claim rests on the BSM measurement technique (established in refs 27, 31) and on the qualitative Wyart-Cates framework (ref 12). No parameters are fitted in this paper; the observations are direct. The SLP is an inferred phase with no independent measurement inside the suspension, which is the main interpretive risk.

assumptions (4)

domain assumption Boundary stress microscopy maps substrate deformation to boundary shear stress via linear elasticity (traction force microscopy).
The central claim depends on BSM correctly inferring stress from PIV-measured displacements of the PDMS film. The method is established in refs 27 and 31, and the paper states the film modulus and thickness to 10-20% accuracy. This assumption is load-bearing because all stress maps and the SLP interpretation rely on it.
domain assumption The Wyart-Cates model, which postulates a stress-induced transition from hydrodynamic to frictional contacts, applies to this suspension.
The interpretation of high-stress regions as solid-like jammed phases and the co-existence of high- and low-viscosity phases is framed in terms of the Wyart-Cates picture (ref 12). This model is cited rather than tested, and the paper's observations are interpreted through it.
domain assumption The suspension is homogeneous and the parallel-plate geometry has uniform concentration and gap at the measurement scale.
The unwrapped stress maps assume the stress on the lower boundary represents the internal state of the rheometer gap. Edge effects, curvature, and radius-dependent shear rate in the parallel-plate geometry could complicate the interpretation, as the authors themselves note in the Discussion.
domain assumption The normal force reported by the rheometer is a reliable indicator of dilatancy and particle-boundary contact.
The correlation between normal force spikes and high-stress events is used as evidence for the solid-like, dilatant state. Normal force in shear thickening can be affected by lubricated contact and even become negative, as the paper acknowledges, so this indicator is suggestive rather than definitive.

invented entities (1)

Solid-like phase (SLP)
purpose: A fully jammed, gap-spanning region of particles that makes direct frictional contact with both rheometer plates, generating very high boundary stress, fracturing, and propagating.
The SLP is inferred from boundary stress maps and normal force signals; the paper does not directly measure the internal microstructure or confirm that the region is entirely solid. It is a postulated phase that organizes the observed dynamics. The paper itself notes it cannot directly measure local normal stresses and uses 'consolidated with' language. No external falsifiable handle outside the paper is provided.

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Pith. "Pith review of Localized Transient Jamming in Discontinuous Shear Thickening." pith.science (2026). https://pith.science/paper/YKU2ZDSK

@misc{pith2026190802856,
  author       = {Pith},
  title        = {Pith review of: Localized Transient Jamming in Discontinuous Shear Thickening},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YKU2ZDSK}},
  note         = {Machine review of arXiv:1908.02856}
}

read the original abstract

We report direct measurements of spatially resolved surface stresses over the entire surface of a dense suspension during discontinuous shear thickening (DST) using Boundary Stress Microscopy (BSM) in a parallel-plate rheometer. We find that large fluctuations in the bulk rheological response at the onset of DST are the result of localized transitions to a state with very high stress, consistent with a fully jammed solid that makes direct contact with the shearing boundaries. That jammed solid like phase (SLP) is rapidly fractured, producing two separate SLPs that propagate in opposite directions. By comparing the speed of propagation of the SLPs with the motion of the confining plates, we deduce that one remains in contact with the bottom boundary, and another remains in contact with the top. These regions grow, bifurcate, and eventually interact and decay in a complex manner that depends on the measurement conditions (constant shear rate vs constant stress). In constant applied stress mode, BSM directly reveals dramatic stress fluctuations that are completely missed in standard bulk rheology.

Figures

Figures reproduced from arXiv: 1908.02856 by the authors.

**Figure 2.** FIG. 2: Temporal evolution of stress ( [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

**Figure 3.** FIG. 3: Spatiotemporal dynamics of an individual high stress event. A) Rheometer stress and normal force divided by the [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗

Figures from the paper (5 more)

**Figure 4.** Figure 4: FIG. 4: Spatiotemporal dynamics of a high stress event at ˙γ [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]

**Figure 5.** Figure 5: FIG. 5: Shear rate (red) and average boundary stress (black) vs. time at constant applied stress [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]

**Figure 6.** Figure 6: FIG. 6: A) Average boundary stress (black circles), ˙γ [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]

**Figure 7.** Figure 7: FIG. 7: Spatiotemporal dynamics of a high stress event at constant applied stress ( [PITH_FULL_IMAGE:figures/full_fig_p009_7.png]

**Figure 8.** Figure 8: FIG. 8: Schematic of evolution of the solid-like phases (SLPs) inferred from the BSM measurements. (A) The relatively [PITH_FULL_IMAGE:figures/full_fig_p010_8.png]

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Pith tools

Reviewed August 14, 2026 · model on record in the stance chip above.

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