Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis

• Main Authors: Liu, Xiaoying, Zhao, Zhiye, Ma, Shuqi
• Other Authors: School of Civil and Environmental Engineering
• Format: Article
• Language: English
• Published: 2020
• Subjects: Engineering::Civil engineering; Stress Wave Propagation; Flat-top Partition of Unity Method
• Online Access: https://hdl.handle.net/10356/139744
• Institution: Nanyang Technological University

Modelling the stress wave propagation in rock mass is a critical step to accurately assess the stability and damage of underground rock structures under dynamic loading. In this paper, the recently developed flat-top partition of unity (PU) based high-order approximation is coupled with Discontinuous Deformation Analysis (DDA) method to simulate stress wave propagation. In this method, the continuous blocks in DDA method are discretized by flat-top PU mesh, which is generated independently of the problem domain. High-order polynomials are employed as local displacement approximation to improve the numerical accuracy. Furthermore, non-reflective boundary is incorporated into this method to model the infinite problem domain. Numerical examples are presented and analyzed to verify the accuracy and efficiency of this method.