Study on hybrid model of peridynamics and finite element method
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Abstract:
Considering the advantages of peridynamics in simulating discontinuities and low computational cost of finite element method (FEM), a new hybrid model was established by using the hybrid modeling method of peridynamics and finite element method. The region where cracks appear was modelled by peridynamics theory, while the other regions were modelled by eight node isoparametric elements. The truss element was used to connect the material points with the isoparametric nodes, and the interaction between material points could be regarded as the truss element. Finally, the stiffness of the element was integrated to realize the hybrid modeling of the two methods in the finite element frame system. No artificial damping was needed in the model, which improved the calculation efficiency. In addition, compared with the four-node hybrid model, the proposed hybrid model based on high-order (eight-node) isoparametric element and peridynamics had higher accuracy. The validity of the method was verified by the numerical example. The proposed model provides a new idea to solve fracture problems.
