Development of an image-based multi-scale finite-element approach to predict mechanical response of asphalt mixtures

Abstract

Image-based simulation of complex materials is a very important tool for understanding their mechanical behaviour and an effective tool for successful design of composite materials. Asphalt concrete (AC) as one of these multi-phase complex materials is a composite of asphalt binder, air voids, and mineral aggregate particles. Simulation of AC with numerical methods is not a new topic but is faced with many challenges. In addition to requiring tremendous computational cost, it is not clear yet how to effectively model the aggregate-to-aggregate contact behaviour during loading and deformation. In this paper, an image-based multi-scale modelling is introduced to reduce the computational cost significantly by reducing the amount of elements in the numerical model. In this approach, the “up-scaling” and homogenisation of each scale to the next is critically designed to improve accuracy. In addition to this multi-scale efficiency, this study introduces an approach for consideration of particle contacts at each of the scales in which mineral particles exist. The finite-element (FE) analysis is performed in the study at four scales, namely asphalt binder, mastic, mortar, and asphalt mixture scales. The well-known FE software ABAQUS is used to conduct FE simulations at all scales. The inputs are based on the experimentally derived measurements for the binder viscoelastic properties from which the binder constitutive model is implemented into the software via the user material subroutine. For the scales of mastic and mortar, the two-dimensional (2D) images of mastic and mortar scales were generated artificially and used to characterise the properties of those scales. Finally, the 2D scanned images of asphalt mixtures after elimination of fine aggregate particles are used to study the asphalt mixture behaviour under uniaxial creep and recovery loading. Comparison between experimental results and the results from the model shows that the model developed in this study is capable of predicting the effect of asphalt binder properties and aggregate micro-structure on mechanical behaviour of AC under repeated creep loading.

Keywords:

• multi-scale modelling
• finite element
• homogenisation
• particle-to-particle contact

Acknowledgements

Authors would also like to acknowledge the insightful input and contributions of Dr Nima Roohi, Dr Hassan Tabatabaee, and Dr Raul Velasquez. The results and opinions presented are those of the authors and do not necessarily reflect those of the sponsoring agencies.

Disclosure statement

No potential conflict of interest was reported by the authors.

Funding

This research was sponsored by the Western Research Institute “Asphalt Research Consortium”. This support is gratefully acknowledged.