ADVANCES IN REPRODUCING KERNEL PARTICLE METHOD

The reproducing kernel particle method (RKPM), which utilizes the notions of the convolution theorem, multiresolution analysis and meshless properties, is reviewed. Emphasis is put on the reproducing kernel approximations and implementation of essential boundary conditions for RKPM. An overview of the current application areas of RKPM is given including structural dynamics, large deformation, hyperelasticity, computational fluid mechanics (CFD), damage problems and microelectromechanical systems analysis. Some future research areas, from the point of view of engineering application and futher development of RKPM, are pointed out. These promising research areas may include mould filling simulation, meshless modal analysis, treatment of essential boundary conditions, coupling to finite element method, enhancement of the efficency of RKPM and development ofmeshless environment.