Investigation of the Dynamic Response of Functionally Graded Materials Using Smoothed Particle Hydrodynamics
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 for large deformation. First, the formulation of SPH for this problem is described, and a benchmark calculation is performed and compared to one-dimensional analytical solutions. The behavior of FGMs subjected to a stress pulse is then investigated for several cases, including various distributions of inhomogeneous materials and two-dimensional problems with different boundary conditions. It is found that in the two-dimensional case, if there is a free boundary not parallel to the direction of the external force, the influence from this boundary cannot be ignored.
G. M. Rong and H. Kisu, "Investigation of the Dynamic Response of Functionally Graded Materials Using Smoothed Particle Hydrodynamics", Advanced Materials Research, Vol. 586, pp. 111-116, 2012