Peridynamic bond-associated correspondence model: Stability and convergence properties

Journal Article · Tue Oct 16 00:00:00 EDT 2018 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.5973· OSTI ID:1572458

Chen, Hailong  ^[1]; Spencer, Benjamin W.  ^[1]

---

1. Idaho National Lab. (INL), Idaho Falls, ID (United States)

The correspondence approach is a powerful technique that permits the usage of standard constitutive models from local theory within a peridynamic formulation. However, the conventional correspondence formulation suffers from material instability, i.e. zero-energy modes, that must be controlled for it to be applied in practice. The recently-introduced correspondence reformulation based on the use of a bond-associated deformation gradient can inherently remove the material instability. In this paper, we characterize some important properties, i.e. balance of linear momentum, balance of angular momentum and material stability, of the bond-associated correspondence model. The convergence behavior is also examined. Here, the accuracy of this approach is further demonstrated by comparing model predictions against local reference solutions and results from the conventional correspondence model with penalty stabilization for both two-dimensional and three-dimensional problems.

• Research Organization: Idaho National Laboratory (INL), Idaho Falls, ID (United States)
• Sponsoring Organization: Idaho National Laboratory LDRD program; USDOE
• Grant/Contract Number: AC07-05ID14517
• OSTI ID: 1572458
• Alternate ID(s): OSTI ID: 1481217
• Report Number(s): INL/JOU-17-43494-Rev001; TRN: US2001212
• Journal Information: International Journal for Numerical Methods in Engineering, Vol. 117, Issue 6; ISSN 0029-5981
• Publisher: Wiley
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
97 MATHEMATICS AND COMPUTING
Peridynamics
Zero-energy modes
Correspondence model