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- W4281962011 abstract "• An efficient BBPD/FEM coupling approach is proposed to model elastic cracked domains. • A generalized element (termed PD substructure) is developed and integrated into the OpenSees platform. • The cracked domain is simulated using conventional elements in conjunction with the PD substructure. • A reduced-order Newton’s algorithm is introduced to solve the global system. • The Woodbury formulation is employed to speed up the solution of the inverse matrix of the secant stiffness in the PD substructure. Peridynamics is a nonlocal method of studying discontinuous phenomena based on integral equations, but using it to simulate local cracking is computationally expensive. That disadvantage can be partially alleviated by coupling peridynamics modelling of the cracked region with a finite element representation of the balance of the material to form a coupled model. Most coupling techniques use explicit algorithms with small time steps, and the efficiency and accuracy are relatively low. In this study, a novel efficient static coupling approach is proposed in which the global response can be computed using conventional linear elastic elements and generalized elements (termed peridynamics substructures) in which the crack is simulated. In the global analysis, the nonlinear iterative analysis of the coupled system can be simplified to that of the peridynamics substructure. The size of matrix operations can thus be greatly reduced. In the peridynamics substrucutre the solution obtained from the global analysis along the boundary of the cracked region is applied as displacement boundary conditions, and the Woodbury formulation is applied to improve the computational efficiency in inverting the secant stiffness matrix. The proposed coupled approach is demonstrated in three practical examples." @default.
- W4281962011 created "2022-06-13" @default.
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- W4281962011 date "2022-06-01" @default.
- W4281962011 modified "2023-09-27" @default.
- W4281962011 title "An efficient coupling of peridynamics with the finite element method for simulating elastic cracking" @default.
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- W4281962011 doi "https://doi.org/10.1016/j.engfracmech.2022.108538" @default.
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