An ordinary state-based peridynamic (PD) model based on the Mindlin plate theory is pre sented to deal with fracture mechanics problems. Static and dynamic stress resultant intensity factors regarded as the primary fracture parameters for plate structures are evaluated by the displacement extrapolation method. Owing to the PD surface effect, however, the accuracy of the displacement field near crack surfaces is significantly affected. Therefore, the arbitrary horizon domain method is adopted to correct the surface effect. It derives the variable PD parameters to properly describe mechanical behaviors for each material point. Several numerical examples are investigated to examine the per formance of the presented method. It indicates that the PD Mindlin plate model incorporated with the arbitrary horizon domain method validly minimizes the influence from the PD surface effect and provides an effective approach to evaluate static and dynamic moment intensity factors.
Keywords Peridynamics • Plate structures • Arbitrary horizon domain • PD surface effect • Moment intensity factors 1 IntroductionPeridynamics (PD) [1,2], which does not require spatial derivatives in its governing equations, has been developed to simulate different kinds of complicated fracture problems. For thin-walled struc tures, a shell model is an effective approach with less computation time than a 3D solid model. In the shell model, 2D plane stress and plate bending formulae are adopted to treat in-plane and out of-plane deformations, respectively. However, in contrast to 2D plane stress problems, the studies in plate bending problems are relatively few in the PD literature. O'Grady and Foster derived a non ordinary state-based peridynamic (NOSPD) model for Kirchhoff-Love plates [3] and shells [4] from the concept of rotational springs between interaction bonds. Diyaroglu et al.[5] developed a bond-based peridynamic (BBPD) model for beams and plates with transverse shear deformation. Chowdhury et al. [6] intro
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