Local integral equation formulation for axially symmetric problems involving elastic FGM

Local integral equations (LIE) are derived for numerical solution of 3-D problems in linear elasticity of functionally graded materials (FGMs) viewed as 2-D axisymmetric problems. Two types of the LIEs are considered with three different kinds of approximation of displacements based on: (i) standard finite elements; (ii) point interpolation method, and (iii) moving least-square approximation. The use of the last two implementations offers the possibility to develop meshless methods. In numerical experiments, the convergence and accuracy of these methods are investigated using the exact solution for a hollow cylinder with power-law gradation of Young's modulus in the radial direction and subjected to internal pressure as the benchmark solution. The efficiency is assessed by comparison of CPU-times.