Abstract
To enhance the calculation accuracy of bond-based peridynamics (BPD), a novel attenuation function is introduced to describe the effect of internal length on nonlocal long-range forces. Furthermore, the expression of the micromodulus function is deduced, and the corresponding fracture criteria are established. The validity and accuracy of the extended bond-based peridynamic approach are illustrated by three numerical examples: 2D isotropic plate under uniaxial loading; plate with a circular cutout under quasi-static loading; and a diagonally loaded square plate with a center pre-existing crack. Finally, the influence of the width and the angle of the pre-existing crack on the fracture initiation time and the crack propagation paths are studied by applying the proposed approach.
Highlights
Predicting crack initiation and propagation accurately applying classical continuum mechanics (CCM) is still a major challenge for the community of solid mechanics [1, 2]. e classical methods, such as the finite element method (FEM), are the most popular computational technique for structural computations [3]
In contrast to classical continuum mechanics, the peridynamic equations are defined at the discontinuities, and the fracture initiation and crack propagation can be simulated
Chen et al [33] analyzed the influence of micromodulus by four different attenuation functions on based peridynamics (BPD) simulation of crack propagation and branching in brittle materials. ough the problems of fracture were reported based on the several types of attenuation functions which were introduced to the BPD model, the influence of attenuation functions on computational accuracy and the optimal attenuation function need to be explored, and there is still lack of research on the influence of crack width and angle on brittle material failure based on the BPD model which considered the effects of long-range forces
Summary
Predicting crack initiation and propagation accurately applying classical continuum mechanics (CCM) is still a major challenge for the community of solid mechanics [1, 2]. e classical methods, such as the finite element method (FEM), are the most popular computational technique for structural computations [3]. In contrast to classical continuum mechanics, the peridynamic equations are defined at the discontinuities, and the fracture initiation and crack propagation can be simulated It has the advantages of other numerical methods, such as the meshless, finite element, and molecular dynamics method [8]. Chen et al [33] analyzed the influence of micromodulus by four different attenuation functions on BPD simulation of crack propagation and branching in brittle materials. Ough the problems of fracture were reported based on the several types of attenuation functions which were introduced to the BPD model, the influence of attenuation functions on computational accuracy and the optimal attenuation function need to be explored, and there is still lack of research on the influence of crack width and angle on brittle material failure based on the BPD model which considered the effects of long-range forces.
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