A thermodynamically compatible model for describing asphalt binders: solutions of problems

In this sequel to the first paper (Málek <i>et al.</i>, 2014. <i>International Journal of Pavement Engineering</i>), in which we identified a generalisation of the model due to Burgers which was corroborated against two sets of experiments, including a challenging one showing distinctly different relaxation times for shear and normal stresses, we solve several time-dependent boundary value problems wherein the boundary of the material is deforming, that have relevance to applications involving asphalt. Problems wherein the boundary is subject to time-varying compressive loads such as those due to moving automobiles and the attendant rutting, and the compaction due to rollers are considered in additions to other problems.