Accurate artificial boundary conditions for semi-discretized one-dimensional peridynamics
Abstract
The peridynamic theory reformulates the equations of continuum mechanics in terms of integro-differential equations instead of partial differential equations. In this paper, we consider the construction of artificial boundary conditions (ABCs) for semi-discretized peridynamics using Green functions. Especially, the Green functions that represent the response to the single wave source are used to construct the accu2rate boundary conditions. The recursive relationships between the Green functions are proposed, therefore the Green functions can be computed through a differential and integral system with high precision. The numerical results demonstrate the accuracy of the proposed ABCs. The proposed method can be applied to modelling of wave propagation for other non-local theories and high-dimensional cases.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 01, 2021
- Source ID
- 10.1098/rspa.2021.0229
Entities
People
- Gang Pang
- Jiwei Zhang
- Paris Perdikaris
- Songsong Ji
- Yibo Yang
Organizations
- Beihang University
- Defense Advanced Research Projects Agency
- National Natural Science Foundation of China
- Peking University
- University of Pennsylvania
- Wuhan University