Enhanced Numerical Analysis Of Magneto-Electro-Elastic Beams Using Stabilized Nodally Integrated Meshfree RKPM

This research utilizes a meshfree nodal integration technique to analyze the static loading of Magneto-Electro-Elastic (MEE) beams, a type of intelligent material. The shape function is constructed using the Reproducing Kernel Particle Method (RKPM), and numerical integration is carried out using Stabilized Conforming Node Integration (SCNI). If oscillations or errors occur, corrections are made with Naturally Stabilized Nodal Integration (NSNI). The study focuses on electromagnetic elastomers, intelligent materials characterized by physical field conversion coupling characteristics. Numerical example tests demonstrate that the NSNI correction method effectively improves the computational results of the SCNI method. The corrections bring the results closer to those produced by the Finite Element Method and enhance oscillation control, particularly under conditions of fixed beam and concentrated loading. This study demonstrates the effective application of the meshfree method of nodal discretization for the efficient analysis of physical multiple coupling problems within MEE materials, introducing a novel approach to the field.