Mechanical modelling of asphalt concrete using grid division

Daniel Castillo, Imad L. Al-Qadi

Research output: Contribution to journalArticlepeer-review


In this paper, a simple method is introduced for the computational modelling of multiphase materials, and for the approximation of their mechanical response. The two-dimensional microstructures of six asphalt concrete specimens are selected; three of the specimens have ‘low’-, and three have ‘high’ aggregate fraction. A grid is used to divide the surface of each microstructure into square cells. The procedure of grid division is applied from 1 up to 100 divisions per side (i.e. up to 10,000 cells in the grid-divided specimen). To obtain an approximation of the mechanical response of the microstructure, the properties of the cells are estimated using three simple interpolation rules between the properties of the two phases, i.e. asphalt matrix and rock aggregates. It is found that the interpolation rules can yield reasonably representative results depending on the aggregate fraction of the microstructures and the number of divisions/cells in the grid. The grid-divided specimens allow approximating the overall mechanical response of the microstructures, and characteristics such as strain concentrations, overall deformations, and resulting force.

Original languageEnglish (US)
Pages (from-to)1012-1023
Number of pages12
JournalInternational Journal of Pavement Engineering
Issue number8
StatePublished - Jul 2 2020


  • Multiphase material
  • finite elements
  • grid division
  • modelling

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials


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