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REVIEW 4 major objections 6 minor 13 references

Measuring Cyclic Tensile Properties of Fluids with Composite Harmonic Exponential Waveforms (CHEW)

T0 review · 4 major / 6 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read The CHEW waveform γ(t)=2sinh(α̂ sin(ωt)) turns a standard torsional rheometer into a cyclic planar-extension tester, letting one compute transient extensional viscosity in each stretch window and follow how fluids soften or harden across…

desk verdict A clever and honest new waveform for cyclic stretching in a torsional rheometer, but the quantitative extensional viscosity rests on a decelerating stretch and needs independent validation. read the letter →

arxiv 2506.16747 v1 pith:RACDP7YP submitted 2025-06-20 cond-mat.soft

L.A. Kroo , R.A. Nicholson , M.W Boehm , S.K. Baier , P.A. Underhill , G.H. McKinley This is my paper · ORCID
classification cond-mat.soft
keywords compositeharmonicexponentialwaveformsheartransientplanarextensionalviscositycyclicstretchingMullinseffectPVA-boraxtorsionalrheometerlargeamplitudeoscillatory
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

The paper introduces a single waveform, γ(t)=2sinh(α̂ sin(ωt)), for strain-controlled torsional rheometers. In each cycle the strain grows almost exponentially for a window of time, so fluid elements are stretched at an approximately constant Hencky rate, ε̇=α̂ω, and the transient planar extensional viscosity can be computed in that window using existing exponential-shear analysis. Tuning α̂ interpolates between small/medium/large amplitude oscillatory shear and exponential shear. After validating on Newtonian, weakly viscoelastic, and strongly stretching fluids, the authors apply the waveform to two 'mutating' materials: melted provolone cheese, whose extensional response decreases cycle by cycle at a rate that grows with ε̇, and a PVA-borax solution, which instead strengthens as repeated stretching builds associative structure. If correct, this provides a bench-top method for cyclic tensile-style testing of fluids and soft solids—useful for food texture, swallowing disorders, and processing flows.

What carries the argument

The central object is the waveform γ(t)=2sinh(α̂ sin(ωt)) and its cutoff criterion t1, defined by d²γ/dt²=0 (the time at which the shear rate peaks, approximately ωt1≈π/2−1/√α̂). The waveform is smooth and periodic, but for 0<t<t1 the strain grows nearly as 2sinh(α̂ωt), so the material element experiences a nearly steady planar extension with effective Hencky strain rate α̂ω; this is what authorizes the extensional-viscosity computation. The measured output is the total principal stress Δσ=√(4σ_yx²+N_1²), and the per-cycle area enclosed in Δσ-versus-strain Lissajous plots quantifies energy dissipation, which is how the gradual mutating behavior (damage or structuring) is tracked.

What would settle it

Measure the first-cycle transient planar extensional viscosity of the same PIB Boger fluid using CHEW and using a filament-stretching rheometer at ε̇=4 s⁻¹; if the values diverge systematically before t1, or if the CHEW value changes appreciably when the cutoff is moved from t1 to t2, the waveform is not reproducing the assumed steady planar extension.

Watch

Extended reading notes

Core claim

The central claim is that the composite harmonic exponential waveform γ_CHEW(t)=2sinh(α̂ sin(ωt)), applied in a strain-controlled torsional rheometer, creates a periodic flow whose first stretch window (before the cutoff time t1, where the shear rate is maximal) is kinematically close to exponential shear γ_ES=2sinh(ε̇ t) with effective Hencky strain rate ε̇=α̂ω. In that window the transient planar extensional viscosity can be computed from the principal stress Δσ=√(4σ_yx²+N_1²) using the affinity-corrected element stretching rate, and it behaves as it does in single-cycle exponential shear. Over successive cycles the stress trajectories evolve in a way that reports on irreversible material change: provolone cheese shows a Mullins-type softening whose rate depends on ε̇, while a PVA-borax solution shows progressive hardening as cyclic stretching builds interchain associations. The authors argue this makes the CHEW waveform a unifying tool—one that spans oscillatory and exponential shear—and a way to measure cyclic tensile properties of complex fluids with only a commercial rheometer.

Load-bearing premise

The method assumes that, inside each stretching window, material elements actually deform at the nominal effective Hencky rate (with a relaxation-time-based affinity correction) and that the stress changes from cycle to cycle are intrinsic material changes rather than edge fracture, wall slip, or phase separation.

Editorial extensions

If this is right

  • A commercial strain-controlled rheometer can repeatedly stretch a fluid in a planar-extension-like way, giving cycle-by-cycle extensional data without a dedicated extensional fixture.
  • For the first cycle, the CHEW window yields a transient planar extensional viscosity comparable to exponential shear; for later cycles the evolving principal stress trajectory and Lissajous area serve as relative measures of material change.
  • The effective Hencky strain rate is α̂ω, but the waveform imposes a cutoff time t1 that couples strain amplitude to strain rate, so the achievable stretch per cycle is limited by the choice of α̂ and ω.
  • By varying α̂, the same waveform covers both oscillatory shear (LAOS-type response) and exponential shear (extensional-like response), offering a single input for comparing these flow regimes.
  • When the first-cycle crossing condition N1=2σyx is not available in later cycles, the phase offset between N1(t) and σ_yx(t) can in principle supply the relaxation time needed to continue estimating extensional viscosity.

Reading between the lines

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

  • The gradual deceleration of stretching as the signal approaches t1 could be exploited as a deliberate processing tool: a polymer chain may be held near a target stretch longer than in a constant-rate extensional flow, and this could be tested by probing single-molecule conformations or by comparing dwell-time effects on structure.
  • A practical error bar for CHEW viscosity follows from comparing the t1, t2, and t3 cutoffs; if results depend strongly on which criterion is used, the kinematic window is the limiting uncertainty.
  • The reversal half of the cycle may trigger polymer tumbling or re-coiling that contributes to the 'mutation' signals; repeating CHEW with a relaxation pause inserted between stretch windows would separate reversible flow-reversal effects from irreversible damage or structure building.
  • The same protocol could in principle screen food texture or dysphagia-relevant softening under chew-like loading, since the provolone example shows tunable, measurable degradation that parallels oral processing.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

4 major / 6 minor

Summary. The manuscript introduces a periodic shear waveform, gamma_CHEW(t) = 2 sinh(alpha_hat sin(omega t)), called CHEW, which is intended to interpolate smoothly between exponential shear and small/large amplitude oscillatory shear in a strain-controlled torsional rheometer. The central claim is that within a window before a cutoff time t1, the waveform locally mimics exponential shear at a constant effective Hencky rate alpha_hat*omega, so that the transient planar extensional viscosity can be computed directly from the measured time-dependent shear and normal stresses, following the affinity-corrected procedure of Kroo et al. (ref. 1). The method is demonstrated on a Newtonian silicone oil, a second-order PDMS fluid, and a PIB Boger fluid, and then applied to two 'mutating' materials: melted provolone cheese, which softens over successive cycles, and a PVA-borax solution, which strengthens over successive cycles. The paper explicitly acknowledges several limitations, including the approximate nature of the cutoff time, the time-varying (decelerating) stretching rate near the cutoff, the absence of a cycle-specific relaxation-time estimate after the first cycle, and possible edge fracture at large alpha_hat*omega.

Significance. If the kinematic basis were correct, CHEW would be a valuable bench-top technique for cyclic extensional characterization, offering a practical bridge between exponential shear and fatigue-like cyclic testing for complex fluids and soft solids. The Newtonian calibration and the demonstrations on model fluids are useful, and the mutating-material examples address an industrially relevant problem. The paper also explicitly identifies several key limitations, which is commendable. However, the central quantitative claim that the first-cycle window corresponds to a constant Hencky rate alpha_hat*omega is not correct as stated, and the Newtonian check does not validate the affinity-corrected denominator. The mutating-material results suffer from a lack of validation against edge fracture, wall slip, and phase-separation artifacts. With reanalysis or reframing, the method may still be useful, but in its current form the central quantitative interpretation needs revision.

major comments (4)
  1. [Section II, Eq. (4)] The window before t1 does not approximate exponential shear at a constant Hencky rate alpha_hat*omega. For an affinely deforming material element, the Hencky strain rate is d/dt ln(2 sinh(alpha_hat sin(omega t))) which, for large alpha_hat, is approximately alpha_hat*omega*cos(omega t). At the cutoff defined by Eq. (4), cos(omega*t1) ~ 1/sqrt(alpha_hat), so by t1 the actual stretching rate has dropped by roughly a factor of sqrt(alpha_hat) relative to the nominal rate alpha_hat*omega. For alpha_hat = 5, this is a drop of more than 50% within the window. Moreover, the final Hencky strain at t1 is approximately alpha_hat, not alpha_hat*omega*t1 ~ (pi/2)*alpha_hat. Consequently, the transient planar extensional viscosity computed in Sec. III.C.1 with a constant denominator alpha_hat*omega is an average over a decelerating stretch, not the planar extensional viscosity at a fixed Hencky rate. The paper's own discussion in Sec. IV correctly states that the stretching rate 'eventually falls off as a function of time' and that the stress roll-off near t1 is due to waveform curvature, but the quantitative first-cycle result is still presented as a direct computation. This issue is load-bearing for the method's central claim and must be addressed, either by using the instantaneous stretching rate, by restricting the window to much smaller omega*t, or by explicitly reporting the viscosity as an average over a known range of instantaneous rates.
  2. [Section III.A and Appendix Table II] The Newtonian calibration does not validate the affinity-corrected denominator used for the Boger-fluid extensional viscosity. In the Newtonian case, the viscosity is computed using the measured shear rate 2*gamma_dot directly, without the affinity correction or the relaxation-time estimate from the N1 = 2*sigma_yx crossing. Thus the close agreement in Table II shows only that the stress-to-shear-rate relation is approximately Newtonian; it does not confirm that alpha_hat*omega is the correct effective Hencky rate in the extensional-viscosity calculation of Sec. III.C.1. A validation of the affinity-corrected denominator would require comparison against an independent extensional rheometer measurement (e.g., a filament-stretching or opposed-jet device) on the same Boger fluid, or at least a direct demonstration that the computed eta_ES+ is insensitive to the choice of cutoff criterion. Without such a test, the reported Boger-fluid values are only internally consistent with the authors' earlier exponential-shear method, not independently benchmarked.
  3. [Section V and Sec. IV, last paragraph] The mutating-material results (provolone cheese and PVA-borax) attribute cycle-to-cycle stress changes to intrinsic bulk property evolution, but the paper itself notes that 'edge fracture may become problematic at high alpha_hat*omega values' in Sec. IV. Wall slip, interfacial fracture, and phase separation can all produce progressive stress changes that mimic softening or hardening, especially over many cycles with aggressive flow reversals. The claim that the provolone mutation rate is 'directly dependent on the effective Hencky strain rate' (Fig. 10b) is therefore not yet supported unless artifacts are ruled out. At minimum, the authors should provide evidence that the deformation remains homogeneous and that the sample-edge condition is stable over the cycles, for example by comparing results at different geometries, using a serrated tool to suppress slip, or imaging the sample edge. This is a load-bearing issue for the second half of the paper's central claim.
  4. [Section VI] The paper states that after the first cycle there is no clear N1 = 2*sigma_yx crossing and hence no obvious cycle-specific definition of the relaxation time tau required for the affinity correction. This means that the quantitative transient planar extensional viscosity cannot be computed in later cycles; the paper instead falls back on qualitative principal-stress trajectories and Lissajous areas. While the authors are transparent about this limitation, the title and abstract promise 'cyclic tensile properties' and 'measuring the evolution of extensional material properties' over successive cycles. To make the claim precise, the authors should state explicitly what material function, if any, is being reported in later cycles, and should define the metric used for evolution (e.g., enclosed area, peak stress) in a way that is not conflated with an extensional viscosity.
minor comments (6)
  1. [Title] The title contains a typo: 'T ensile' should be 'Tensile'.
  2. [Abstract] The phrase 'An novel input strain waveform' should be 'A novel input strain waveform'.
  3. [References] Reference [1] is an arXiv preprint with identifier 'submit/6556503'. Since the present paper relies heavily on the affinity-correction and relaxation-time estimation procedures from that work, the authors should ensure that the companion paper is published or otherwise publicly available in a citable form before the present manuscript is finalized.
  4. [Section III.C.1 and Fig. 7] The comparison of the CHEW Boger-fluid extensional viscosity to the single-cycle exponential-shear method is described only as 'similar in many ways'. A quantitative comparison (e.g., a plot of eta_ES+ versus Hencky strain at matched Hencky rate) would clarify how faithfully CHEW reproduces the established single-cycle result, especially given the deceleration issue raised in the major comments.
  5. [Appendix Table II] The column 'STD (Residual)' gives no units and it is unclear whether it is the standard deviation of the residual stress or of the fitted viscosity. Defining the regression model (e.g., slope through origin versus intercept included) would improve reproducibility.
  6. [Throughout] The chemical name 'PVA' is inconsistently rendered as 'PV A' in several places (e.g., the Abstract and Section V.B). Please make the formatting uniform.

Circularity Check

1 steps flagged · score 4.0 of 10

First-cycle extensional viscosity inherits its affinity correction and relaxation-time estimate from the authors' own preprint; cyclic-evolution claims rest on direct Lissajous data.

  1. self citation load bearing [Section VI (Discussion), first paragraph; see also Section III.C.1 and Introduction]
    "Because this waveform approximates exponential shear within the first quarter-cycle stretching window, we can apply the method developed in Kroo et al. 1 to estimate the relaxation time τ and compute a transient extensional viscosity, η+ES, using a time-dependent principal stress."

    The first-cycle transient planar extensional viscosity is the paper's central quantitative result, and its denominator uses an affinity-corrected stretching rate whose relaxation time τ is not independently measured but inferred from the same stress-growth data of the same first cycle, via the N1=2σ_yx crossing criterion from the authors' own preprint (ref. 1). Thus the reported η_ES+ is a rescaling of the same measured stress signal by a rate-correction factor tuned to that signal, not an independent prediction or an externally calibrated material function. The Newtonian validation uses the directly measured shear rate γ̇, so it does not independently validate this self-cited affinity correction.

full rationale

Most of the CHEW kinematics are mathematical properties of the waveform and are not circular: Eq. (2) genuinely reduces to exponential shear in the small-ωt limit and to oscillatory shear as α̂→0, and the cutoff definitions in Eqs. (4)-(7) are explicit criteria rather than hidden assumptions. The kinematic statement that the effective Hencky rate is α̂ω is an approximation, and the paper itself acknowledges in Section IV that the actual material-element stretching rate falls off near t1 and that the resulting stress roll-off could be misread as finite extensibility; this is a correctness risk, not a circularity. The cyclic-evolution results for provolone cheese and PVA-borax are based on direct Lissajous-area trajectories and principal-stress comparisons, without invoking the affinity-corrected viscosity, so those central demonstrations are self-contained. However, the first-cycle viscosity computation does lean on the authors' own prior methodology to estimate τ from the same stress data that is then used to compute η_ES+; because that self-citation is load-bearing for the quantitative viscosity claim and is not independently validated here, a moderate circularity score is warranted. No uniqueness theorem, ansatz-smuggling, or renaming-of-known-result pattern was found.

Assumptions & free parameters 2 free parameters · 4 assumptions · 0 invented entities

The kinematics of the CHEW waveform and the interpretation of measured stresses as planar extensional viscosity rest on assumptions imported from Doshi and Dealy and from the authors' prior exponential-shear preprint. The cutoff procedure and the affinity correction introduce data-dependent or user-chosen elements. No new physical entities are postulated.

free parameters (2)
  • Cutoff criterion order (t1 vs t2 vs t3) = t1 (local max of shear rate) used for all reported viscosity computations
    The boundary of the 'exponential' window is not dictated by the kinematics; choosing t2 or t3 changes the integration window and thus the computed extensional viscosity. The authors acknowledge the choice is heuristic.
  • Relaxation time tau for the affinity correction = Not reported; estimated from the N1=2sigma_yx crossing time per Kroo et al. 2025
    The extensional viscosity computation uses a Weissenberg-number-dependent stretching rate that requires an estimate of the fluid relaxation time, inferred from the same stress data. This makes the reported eta_ES+ dependent on a data-derived parameter rather than purely kinematic.
assumptions (4)
  • domain assumption A homogeneous simple-shear deformation in a cone-and-plate rheometer with exponentially growing shear strain locally mimics a steady planar extension with Hencky strain rate alpha (Doshi and Dealy 1987).
    This is the physical basis for converting shear stress and normal stress data into an extensional viscosity; it is assumed without re-derivation in this paper (Sec. I).
  • domain assumption The first quarter cycle of CHEW before the cutoff t1 approximates the exponential-shear waveform closely enough that the Kroo et al. affinity correction remains valid.
    Sec. III.B.1 imports the Kroo et al. method for computing transient planar extensional viscosity; the CHEW waveform is not exactly exponential, and the paper notes the transition away is smooth, so this is a load-bearing approximation.
  • ad hoc to paper The cutoff time t1 defined by the local maximum of shear rate (or higher derivatives) is an appropriate boundary for the exponential-like window.
    Introduced heuristically in Sec. II, equations 4-7; no unique definition follows from the kinematics, and the choice affects the computed strain amplitude and viscosity.
  • standard math The approximate cutoff expression in eq. 4 follows from a Taylor expansion of sinh(alpha_hat sin omega t) near its maximum; the paper does not show the derivation.
    The result is plausibly correct but is asserted without derivation or error estimate in Sec. II.

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Cite this review

Pith. "Pith review of Measuring Cyclic Tensile Properties of Fluids with Composite Harmonic Exponential Waveforms (CHEW)." pith.science (2026). https://pith.science/paper/RACDP7YP

@misc{pith2026250616747,
  author       = {Pith},
  title        = {Pith review of: Measuring Cyclic Tensile Properties of Fluids with Composite Harmonic Exponential Waveforms (CHEW)},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/RACDP7YP}},
  note         = {Machine review of arXiv:2506.16747}
}
read the original abstract

Building off recent advances on how to practically use exponential shear in a torsional rheometer to compute transient planar extensional viscosity (Kroo et al. 2025a), we extend the technique to cyclic tensile measurements in complex fluids and soft solids. An novel input strain waveform provides a unifying approach that smoothly interpolates between exponential shear (ES) and oscillatory shear (SAOS/MAOS/LAOS) as a flow type parameter is varied. Analogous to cyclic tensile fatigue tests in solids, or the process of chewing in the oral cavity, this complex strain history is used to quantify the evolution of extensional material properties at large strains over sequential cycles of stretch. In the limit of large Hencky strain rates, the waveform locally increases exponentially and generates a period of strong material stretching. This allows for the direct computation of a transient planar extensional viscosity within specific domains of the periodic function. We demonstrate this technique on a set of model fluids, and then apply it to complex multiphase materials that mutate. These latter fluids exhibit progressive evolution in their rheological properties over repeated cycles of extensional deformation. Here we focus on two examples: a delicate foodstuff material (melted provolone cheese) which systematically decreases its extensional response over successive stretching cycles, mutating at a rate that is directly dependent on the effective Hencky strain rate. We contrast this with a PVA-borax solution which exhibits precisely the opposite effect during successive stretching cycles: increasing its planar extensional response over successive cycles, as interchain associative interactions (controlled via stretching) build structure within the fluid. These results highlight a promising new approach to study bulk extensional properties during cyclical stretching of complex fluids.

Figures

Figures reproduced from arXiv: 2506.16747 by the authors.

Figure 1
Figure 1. FIG. 1. A new technique is presented that is designed to mimic a) A cyclic tensile stretching test in planar extension. (b) This new method uses [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. (a) The input strain is depicted for the composite harmonic exponential waveform (CHEW) described by eq.2. The waveform is shown [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3. a)A comparison is shown between the cut-off criterion in equations 5-7. Here the ratio of the shear strain rate in CHEW versus true [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (7 more)
Figure 4
Figure 4. Figure 4: FIG. 4. a)Stress components for a Newtonian oil b) Total principal stress versus two times the shear rate is shown for different values of [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5. a) PDMS demonstrates the example of a weakly elastic material in CHEW with [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. a)Stress components b) Lissajous curves for a PIB Boger [PITH_FULL_IMAGE:figures/full_fig_p006_6.png]
Figure 8
Figure 8. Figure 8: FIG. 8. (a)Conceptual depiction of the extension versus shear of a microstructure like melted cheese, containing significant complexity from [PITH_FULL_IMAGE:figures/full_fig_p008_8.png]
Figure 9
Figure 9. Figure 9: FIG. 9. Lissajous curves for normal (a) versus shear (b) stress for a provolone cheese at 65 C. [PITH_FULL_IMAGE:figures/full_fig_p008_9.png]
Figure 10
Figure 10. Figure 10: FIG. 10. (a) Lissajous curves for the total principal stress on provolone, exhibiting successive damage. (b) Quantifying this degradation, we [PITH_FULL_IMAGE:figures/full_fig_p009_10.png]
Figure 11
Figure 11. Figure 11: FIG. 11. a) Stress components for PVA borax b)Structuring of an associative polymer network with successive stretching cycles, shown with [PITH_FULL_IMAGE:figures/full_fig_p009_11.png]

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Works this paper leans on

13 extracted references · 8 canonical work pages

  1. [1]

    merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs aapmrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number organization pages primaryClass publisher school SLACcitation series title translat...

    2010

  2. [2]

    merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs aipauth4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number organization pages primaryClass publisher school SLACcitation series title translat...

    2010

  3. [3]

    merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs aipnum4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number organization pages primaryClass publisher school SLACcitation series title translati...

    2010

  4. [4]

    author author L. A. \ Kroo , author R. A. \ Nicholson , author M. W. \ Boehm , author S. K. \ Baier , \ and\ author G. H. \ McKinley ,\ @noop title A unifying perspective on measuring transient planar extensional viscosity from exponential shear , \ ( year 2025 ),\ note http://laurel.kroo.net/s/Kroo_2025a arXiv Preprint arXiv:submit/6556503 [cond-mat.soft] NoStop

    work page arXiv 2025

  5. [5]

    Zhou \ and\ author C

    author author Y. Zhou \ and\ author C. M. \ Schroeder ,\ title title Single polymer dynamics under large amplitude oscillatory extension , \ @noop journal journal Physical Review Fluids \ volume 1 ,\ pages 053301 ( year 2016 ) NoStop

    work page 2016

  6. [6]

    author author S. M. \ Recktenwald , author T. P. \ John , author A. Q. \ Shen , author R. J. \ Poole , author C. P. \ Fonte , \ and\ author S. J. \ Haward ,\ title title Large amplitude oscillatory extension (laoe) of dilute polymer solutions , \ @noop journal journal arXiv preprint arXiv:2501.11950 \ ( year 2025 ) NoStop

    work page Pith review arXiv 2025

  7. [7]

    Doshi \ and\ author J

    author author S. Doshi \ and\ author J. Dealy ,\ title title Exponential shear: a strong flow , \ @noop journal journal Journal of Rheology \ volume 31 ,\ pages 563--582 ( year 1987 ) NoStop

    work page 1987

  8. [8]

    U ber die form des elastizit \

    author author H. Hencky ,\ title title \"U ber die form des elastizit \"a tsgesetzes bei ideal elastischen stoffen , \ @noop journal journal Zeitschrift f \"u r technische Physik \ volume 9 ,\ pages 215--220 ( year 1928 ) NoStop

    work page 1928

Show all 13 references
  1. [9]

    author author C. W. \ Macosko ,\ https://www.amazon.com/Rheology-Measurements-Applications-Christopher-Macosko/dp/0471185752 title Rheology: Principles, Measurements, and Applications \ ( publisher Wiley ,\ year 1994 ) NoStop

    1994

  2. [10]

    Mullins ,\ title title Effect of stretching on the properties of rubber , \ @noop journal journal Rubber chemistry and technology \ volume 21 ,\ pages 281--300 ( year 1948 ) NoStop

    author author L. Mullins ,\ title title Effect of stretching on the properties of rubber , \ @noop journal journal Rubber chemistry and technology \ volume 21 ,\ pages 281--300 ( year 1948 ) NoStop

    1948

  3. [11]

    Ramlawi , author M

    author author N. Ramlawi , author M. T. \ Hossain , author A. Shetty , \ and\ author R. H. \ Ewoldt ,\ title title Stress-controlled medium-amplitude oscillatory shear (maostress) of pva--borax , \ @noop journal journal Journal of Rheology \ volume 68 ,\ pages 741--763 ( year ...

    2024

  4. [12]

    merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number orga...

    2010

  5. [13]

    merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked

    FUNCTION id.bst "merlin.mbs apsrmp4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked" ENTRY address archive archivePrefix author bookaddress booktitle chapter collaboration doi edition editor eid eprint howpublished institution isbn issn journal key language month note number orga...

    2010

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