Two-dimensional elastostatic analysis of FGMs via BEFM

In this work, a complete meshless technique, based on the Boundary Element-Free Method (BEFM) for 2-D elastostatic analysis applied to Functionally Graded Materials (FGMs) is proposed. FGMs are non-homogenous materials in which some properties (e.g. density, Young modulus, Poisson rate, etc.) vary as a function of spatial coordinates. BEFM is a meshless method based on Boundary Integral Equations (BIE) such as the Local Boundary Integral Equation (LBIE) method and the Boundary Node Method (BNM), differing from them with respect to the integration domain and the approximation scheme.