Requirements, concepts and selected results for model tests on pile penetration.- Interpretation of vibratory pile penetration based on Digital Image Correlation.- Dynamic problem for the deformation of saturated soil in the vicinity of a vibrating pile toe.- Vibration-induced stress changes in saturated soil: a high-cycle problem.- Peak stress with Neohypoplasticity.- Constitutive model for clays under the ISA framework.- On the use of isotropic hardening plasticity to model cyclic consolidation of fine grained soils.