Investigation of the dynamic response of functionally graded materials using smoothed particle hydrodynamics

Abstract

In the present study, the problem of functionally graded materials (FGMs) under a stress pulse is analyzed based on smoothed particle hydrodynamics (SPH) using the formulation in which the deviatoric stress and the continuity equation are used. First, the formulation of SPH for this problem is described and several benchmark calculations for the primary wave are performed compared to one-dimensional analytical solutions to show that the present formulation can be used to analyze the dynamic response with considerable accuracy at the initial stage. The behavior of FGMs subjected to a stress pulse is then investigated for several cases, including individual influence from distribution of density or Young's modulus to the stress induced in the material, etc.. In the two-dimensional case where the system permits free deformation perpendicular to the direction of the external force, the primary wave as well as the secondary wave are both checked. At that time, induced stress waves due to the free surface are observed. © 2013 The Japan Society of Mechanical Engineers.