An orthotropic peridynamic shell model for linear elastic deformation and crack propagation. (14th April 2023)

• Record Type: Journal Article
• Authors: Shen, Guozhe; Bi, Ziwei; Xia, Yang; Zheng, Guojun
• Is Part Of: Engineering fracture mechanics. Volume 282(2023)
• Publication Date: 2023-04-14
• Subjects: Peridynamics -- Thin shell -- Micro-beam bond -- Orthotropic material -- Morphing method; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2023.109174
• Languages: English
• ISSNs: 0013-7944

Abstract

Abstract: Peridynamics is a non-local mechanics theory that can handle discontinuities such as cracks. This study presents an orthotropic peridynamic (PD) shell model based on the micro-beam bond. Under the homogenization assumption, eight PD material parameters expressed by four independent material constants are used to describe the axial, bending, and torsional deformations of the micro-beam bond. The eight PD material parameters can be derived by the rule of equating the strain energy density (SED) of the PD shell model and that of the classical continuum mechanics (CCM) shell model. To improve the computational efficiency and solve the surface effects of PD models, the morphing method is used to establish the PD-CCM shell coupling model. Several numerical examples of crack propagation in orthotropic materials are executed, and the results demonstrate the effectiveness of the proposed model. Highlights: An orthotropic peridynamic (PD) shell model is presented. The micromoduli of bond continuously vary with the direction of material main axis. There is no limitation of material parameters. The orthotropic PD shell model can reduce to the isotropic PD shell model.