Functionally graded materials (FGMs) possess a smooth variation of material properties due to gradual change in microstructural details. For example, the material gradation may change gradually from a pure ceramic to a pure metal. This work focuses on three-dimensional potential (both steady state and transient) and elasticity problems for inhomogeneous materials. The Green's function (GF) for these materials (exponentially graded) are expressed as the GF for the homogeneous material plus additional terms due to material gradation. The numerical implementations are performed using a Galerkin (rather than collocation) approximation. The results of test calculations are in good agreement with available analytical solution and finite element simulations.
|Original language||English (US)|
|Number of pages||10|
|State||Published - 2003|
|Event||Fifteenth International Conference on Boundary Element Technology, BETECH XV - Detroit, MI, United States|
Duration: May 19 2003 → May 21 2003
All Science Journal Classification (ASJC) codes