Determination of linearity limit of bitumen and mastic using large-amplitude oscillatory shear

ABSTRACT

The delineation of the linear/nonlinear response of bituminous material in the frequency domain is conducted using the small-amplitude oscillatory shear test, wherein only the peak stress and strain are available. In contrast, the large-amplitude oscillatory shear tests provide complete waveform data. Analysis of such data can help to unravel the linear/nonlinear response with greater accuracy. This investigation reports such an exercise. An experimental investigation is conducted on five different materials at different strain amplitudes, frequencies, and temperatures. The geometry-based parameters obtained from the Lissajous plot gave contradictory linear/nonlinear delineation. Analysis of the higher order harmonics did not show any appreciable presence of nonlinearity. However, the orientation of the Lissajous plots differed from the strain amplitude. The elastic and viscous stress could be predicted using the first-order Chebyshev coefficients indicating the linear response, but the coefficients differed with the strain amplitude. The scaling-superposition of the waveform revealed a clear demarcation of the linear/nonlinear response. This indicated that the response of the bituminous material needs to be analysed for a range of frequency and amplitude. The mere analysis of the waveform data at any test condition can help only to establish the necessary condition for linearity but not a sufficient condition.

KEYWORDS:

• Linearity of bitumen and mastic
• large-amplitude oscillatory shear
• Fourier transform
• harmonic distortion
• scaling and superposition
• Lissajous plot

Acknowledgment

We thank the Department of Science and Technology, Government of India for funding. The grant number is EMR/2017/003115.

Disclosure statement

No potential conflict of interest was reported by the authors.