Time-dependent behavior of axisymmetric thermal consolidation for multilayered transversely isotropic poroelastic material

•Axisymmetric thermal consolidation for transversely isotropic material is investigated.•An extended precise integration model is built in the transformed domain.•The actual solution is obtained by inversing the Laplace–Hankel transform.•The effects of material properties and the stratification on time-dependent behavior are discussed.