近场动力学与有限元方法耦合求解复合材料损伤问题

A new method is proposed to study damage problems of fiber reinforced composite material by using coupled peridynamics (PD) and finite element method (FEM). This method has both the advantage of the computational efficiency of FEM and the advantage of PD solving discontinuous problems. The computational domain can be partitioned into PD region and FEM region and coupling region. The region containing crack is modeled by PD, the other region is modeled by FEM, and the coupling region is between the above two regions. Application of the coupling scheme proposed in this paper is simple and convenient, and there is no need to introduce an overlapping region between PD particles and FE nodes. The PD particle is connected non-locally to all particles (PD particles and FE nodes) within its horizon, whereas the FE node interacts with other nodes in the finite element manner. The damage states obtained by the coupling method are good in agreement with that obtained pure PD method, while this coupling method has the high computation efficiency.