COORDINATED DISTRIBUTING MULTI-SCALE ANALYSIS BASED ON FINITE PARTICLE METHOD

Multi-scale modeling is a common method to balance the accuracy and cost of numerical simulation of structures. This method enables designers to obtain both the whole characteristics and local information of structures simultaneously. Based on the Finite Particle Method, a coordinated distributing multi-scale coupling method aiming at deformable interface is proposed in this study. The paper derives the basic theory of coordinated distributing coupling and proposes a calculation process in the following steps. The calculated interface force is distributed to the slave particles according to the force balance relationship. The displacements of the slave particles are obtained through the motion equation. The motion of the master particle is calculated by applying the displacement coordination relationship. This method has realized the beam-plane, beam-shell and beam-solid coupling while avoiding stress concentration at the interface. Numerical tests have been conducted to validate its stability and reliability in dynamic nonlinear problems. The calculation results indicate that the method is effective for multi-scale fine analysis of structures. © 2025 Tsinghua University. All rights reserved.