3D dynamic analysis in a 3D-FG cylindrical thick panel with two-dimensional nonlinear grading patterns using meshless local Petrov – Galerkin (MLPG) method

This study presents a 3D dynamic wave propagation analysis in a 3D-FG cylindrical thick panel with two-directional grading patterns. To this end, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the dynamic equilibrium equations.. Moreover, the mechanical properties of FGMs are simulated through a nonlinear model with radial and axial volume fractions. Time-dependent equations are treated using The Laplace transform with the MLPG method, while the Talbot method is applied to transfer the displacements from Laplace to the time domain. To obtain the best result, the size of the support domain and parameters of the radial basis function is obtained; also, for varied grading patterns and time instants, the elastic wave propagation of displacement is analyzed in radial, hoop, and axial directions. The present method shows high accuracy and efficiency for wave propagation and shock analysis in a 3D-FG cylindrical thick panel with a two-directional grading pattern, thus providing a ground for a more flexible design.