Determination of horizon size in state-based peridynamics
Abstract
Peridynamics is based on integro-differential equations and has a length scale parameter called horizon which gives peridynamics a non-local character. Currently, there are three main peridynamic formulations available in the literature including bond-based peridynamics, ordinary state-based peridynamics and non-ordinary state-based peridynamics. In this study, the optimum horizon size is determined for ordinary state-based peridynamics and non-ordinary state-based peridynamics formulations by using uniform and non-uniform discretisation under dynamic and static conditions. It is shown that the horizon sizes selected as optimum sizes for uniform discretisation can also be used for non-uniform discretisation without introducing significant error to the system. Moreover, a smaller horizon size can be selected for non-ordinary state-based formulation which can yield significant computational advantage. It is also shown that same horizon size can be used for both static and dynamic problems.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 16, 2020
- Source ID
- 10.1007/s00161-020-00896-y
Entities
People
- Bingquan Wang
- Erkan Oterkus
- Selda Oterkus
Organizations
- Air Force Office of Scientific Research