Session: 01-09-01: Peridynamics and Its Applications

Paper Number: 110869

110869 - Modeling of Dynamic Crack Propagation by Coupling the Boundary Element Method and the Bond-Based Peridynamics 

A novel method for predicting dynamic crack propagation based on coupling the boundary element method (BEM) and bond-based peridynamics (BBPD) is developed in this work. The special feature of this method is that it can take full advantages of both the BEM and PD to achieve a higher level of accuracy and efficiency. Based on the scale of the structure and the location of cracks, the considered domain can be divided into a non-cracked region and a cracked region. For the non-cracked region, a meshfree boundary-domain integral equation method (meshfree-BDIEM) is employed in the analysis to reduce the dimension by one and to increase the computational efficiency. The bond-based PD is applied to simulate the cracked region, which can model the initiation and propagation of the cracks automatically. The boundary nodes from the BEM on the interfaces can interact with the material points from the PD directly. By using the displacement continuity and force equilibrium conditions on the interfaces, a combined model is obtained by merging the mass, stiffness, and force matrices from each region of the domain. Both the implicit and explicit BEM-PD coupled solution methods can deliver accurate results without inducing the ghost forces. Several benchmark problems of dynamic crack propagation have been modeled by using the method, which demonstrate that the developed BEM-PD coupled approach can be an efficient numerical tool to model the dynamic crack propagation problems.

Presenting Author: Yijun Liu Southern University of Science and Technology (SUSTech)

Presenting Author Biography: Dr. Yijun Liu is currently a Chair Professor in the Department of Mechanics and Aerospace Engineering at Southern University of Science and Technology (SUSTech) in Shenzhen, China. He received his PhD degree in Theoretical and Applied Mechanics from the University of Illinois at Urbana-Champaign in 1992. He was on the faculty of the University of Cincinnati (UC) in Mechanical Engineering during 1996-2018 (as an assistant, associate and full professor) before joining SUSTech in 2018. His research interests are in computational mechanics, with a focus on the boundary integral equation and boundary element method (BIE/BEM) and their fast solution methods, the development of related software (FastBEM Acoustics), and the applications in modeling composites, fractures, fatigues, acoustic and elastodynamic problems. He has authored/co-authored three books on the FEM and BEM, and more than 100 technical papers in these areas. His book Fast Multipole Boundary Element Method published by Cambridge University Press in 2009 has been well received in the BIE/BEM research community. Dr. Liu is a Fellow of ASME.

Authors:

Yijun Liu Southern University of Science and Technology (SUSTech)
Yang Yang Southern University of Science and Technology