Influence of Specimen Geometries on the Viscoelastic Properties of Bituminous Mixtures in Torsion

Abstract

A standard test method for determining the linear viscoelastic properties of bituminous mixtures in torsion prescribes the use of a dynamic shear rheometer. The method uses a prismoidal specimen (rectangular cross section) sliced from a Superpave gyratory compacted sample. However, the geometry utilized in the standard is a non-axisymmetric cross section, which leads to the development of warping stress when the specimen is tested in torsion using a dynamic shear rheometer. On the other hand, axisymmetric geometry, such as cylinder (circular cross section), does not warp when subjected to torsion. This study investigates the influence of the two specimen geometries, namely prismoidal and cylindrical, on the linear viscoelastic properties of bituminous mixtures in torsion. The specimens are obtained from a bituminous mixture with a nominal maximum aggregate size of 13.2 mm, and statistical analysis is carried out to determine whether the material constitution in the specimen geometries is identical. A frequency sweep experiment is conducted at 10, 20, and 30°C with a constant strain amplitude of 0.001% in the frequency range of 0.01 Hz to 20 Hz. The absolute shear modulus of the prismoidal specimens is found to be higher than that of cylindrical specimens because of warping stresses in prismoidal specimens. It was seen that the effect of warping stress is greater at higher temperatures and lower frequencies. Correction factors are used to correct the absolute shear modulus of prismoidal specimens. These findings highlight the importance of considering correction factors for warping when characterizing prismoidal bituminous mixtures in torsion.

Keywords

Infrastructure materials asphalt mixture evaluation and performance asphalt materials asphalt mixture performance tests modeling of bituminous materials Warping stress prismoidal non-axisymmetric correction factors DSR

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References

AASHTO T 342. Standard Method of Test for Determining the Dynamic Modulus and Flow Number of Hot Mix Asphalt (HMA). American Association of State Highway and Transportation Officials, Washington, D.C., USA, 2022.

ASTM D7369. Standard Test Method for Determining the Resilient Modulus of Asphalt Mixtures by Indirect Tension Test. ASTM International, West Conshohocken, Pennsylvania, USA, 2020.

EN 12697-24. Bituminous Mixtures–Test Methods for Hot Mix Asphalt–Part 24: Resistance to Fatigue. European Committee for Standardization, Brussels, Belgium, 2004.

ASTM D7552. Standard Test Method for Determining the Complex Shear Modulus (G*) of Bituminous Mixtures Using Dynamic Shear Rheometer. ASTM International, West Conshohocken, Pennsylvania, USA, 2022.

Kim

Y.-R.

Little

D. N.

Lytton

R. L.

Evaluation of Microdamage, Healing, and Heat Dissipation of Asphalt Mixtures, Using a Dynamic Mechanical Analyzer. Transportation Research Record: Journal of the Transportation Research Board, 2001. 1767: 60–66. https://doi.org/10.3141/1767-08

Chen

Zhang

Fatigue Resistance Investigation of Warm-Mix Recycled Asphalt Binder, Mastic, and Fine Aggregate Matrix. Fatigue & Fracture of Engineering Materials & Structures, Vol. 41, No. 2, 2018, pp. 400–411. https://doi.org/10.1111/ffe.12692

Soleimani

Walsh

Hesp

S. A.

Asphalt Cement Loss Tangent as Surrogate Performance Indicator for Control of Thermal Cracking. Transportation Research Record: Journal of the Transportation Research Board, 2009. 2126: 39–46. https://doi.org/10.3141/2126-05

Vacin

Stastna

Zanzotto

Creep Compliance of Polymer-Modified Asphalt, Asphalt Mastic, and Hot-Mix Asphalt. Transportation Research Record: Journal of the Transportation Research Board, 2003. 1829: 33–38. https://doi.org/10.3141/1829-05

Sadd

M. H.

Elasticity: Theory, Applications, and Numerics, 2nd ed. Academic Press, Burlington, USA, 2009.

10.

Young

W. C.

Budynas

R. G.

Sadegh

A. M.

Roark’s Formulas for Stress and Strain, 8th ed. McGraw-Hill Education, New York, USA, 2012.

11.

Dessi

Tsibidis

G. D.

Vlassopoulos

De Corato

Trofa

D’Avino

Maffettone

P. L.

Coppola

Analysis of Dynamic Mechanical Response in Torsion. Journal of Rheology, Vol. 60, No. 2, 2016, pp. 275–287. https://doi.org/10.1122/1.4941603

12.

Szabó

Höhere Technische Mechanik: Nach Vorlesungen. Springer-Verlag, Berlin, Germany, 2013.

13.

Vlasov

Thin Wall Elastic Beams. The Israel Program for Scientific Translations, Washington, D.C., USA, 1961.

14.

Dessi

Coppola

Vlassopoulos

Dynamic Mechanical Analysis With Torsional Rectangular Geometry: A Critical Assessment of Constrained Warping Models. Journal of Rheology, Vol. 65, No. 3, 2021, pp. 325–335. https://doi.org/10.1122/8.0000207

15.

Diani

Gilormini

On Necessary Precautions When Measuring Solid Polymer Linear Viscoelasticity With Dynamic Analysis in Torsion. Polymer Testing, Vol. 63, 2017, pp. 275–280. https://doi.org/10.1016/j.polymertesting.2017.08.025

16.

Kanaan

A. I.

Ozer

Al-Qadi

I. L.

Testing of Fine Asphalt Mixtures to Quantify Effectiveness of Asphalt Binder Replacement Using Recycled Shingles. Transportation Research Record: Journal of the Transportation Research Board, 2014. 2445: 103–112. https://doi.org/10.3141/2445-12

17.

Elkashef

Hung

S. S.

Jones

Harvey

, Using Predictive Models to Estimate the Properties of Binders in Reclaimed Asphalt Pavement Mixes Using Fine Aggregate Matrix Mix Testing. Transportation Research Record: Journal of the Transportation Research Board, 2019. 2673: 501–511. https://doi.org/10.1177/0361198119849901

18.

Osmari

P. H.

da Costa

R. F.

Aragao

F. T. S.

Braz

Barroso

R. C. R.

Nogueira

L. P.

A. K. Y.

Determination of Volumetric Characteristics of FAM Mixtures Using X-Ray Micro-Computed Tomography and Their Effects on the Rheological Behavior of the Material. Transportation Research Record: Journal of the Transportation Research Board, 2020. 2674: 97–107. https://doi.org/10.1177/0361198120914607

19.

Timoshenko

Goodier

Theory of Elasticity, 2nd ed. McGraw-Hill, New York, USA, 1951.

20.

Mezger

The Rheology Handbook: For Users of Rotational and Oscillatory Rheometers, 4th ed. Hannover, Germany, Vincentz Network, 2020.

21.

MoRTH. Specifications for Road and Bridge Works. Ministry of Road Transport and Highways, New Delhi, India, 2013.

22.

IS 73. Paving Bitumen – Specification. Bureau of Indian Standards, New Delhi, India, 2018.

23.

AASHTO R 30. Standard Practice for Mixture Conditioning of Hot-Mix Asphalt (HMA). American Association of State Highway and Transportation Officials, Washington D.C., USA, 2019.

24.

ASTM D7981. Standard Practice for Compaction of Prismatic Asphalt Specimens by Means of the Shear Box Compactor. ASTM International, West Conshohocken, Pennsylvania, USA, 2020.

25.

AASHTO T 308. Standard Method of Test for Determining the Asphalt Binder Content of Asphalt Mixtures by the Ignition Method. American Association of State Highway and Transportation Officials, Washington, D.C., USA, 2022.