Investigation of the behaviour of functionally graded materials under impact loads

Abstract

The impact response of unidirectional FGM is studied in detail. The behaviour of the material is described by the classical complex model of continuum mechanics. The calculations are performed in 2D axisymmetric approach using a modified Lagrangian method. The mathematical model and numerical method was developed at the Research Institute of Applied Mathematics and Mechanics of Tomsk State University. In the beginning, test calculations were carried out. The evolution of the destruction of homogeneous and FGM-samples, including the time of formation of the first foci of destruction, spall was studied. The time dependences of the velocity of the free surface, hydrostatic pressure, and the damage parameter were constructed. The presence of a graded substrate led to an increase in impact resistance at velocities up to 275 m/s.