Peridynamic bond-associated correspondence model: Stability and convergence properties
Abstract
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.
- Authors:
-
- Idaho National Lab. (INL), Idaho Falls, ID (United States)
- Publication Date:
- Research Org.:
- Idaho National Laboratory (INL), Idaho Falls, ID (United States)
- Sponsoring Org.:
- Idaho National Laboratory LDRD program; USDOE
- OSTI Identifier:
- 1572458
- Alternate Identifier(s):
- OSTI ID: 1481217
- Report Number(s):
- INL/JOU-17-43494-Rev001
Journal ID: ISSN 0029-5981; TRN: US2001212
- Grant/Contract Number:
- AC07-05ID14517
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal for Numerical Methods in Engineering
- Additional Journal Information:
- Journal Volume: 117; Journal Issue: 6; Journal ID: ISSN 0029-5981
- Publisher:
- Wiley
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING; 97 MATHEMATICS AND COMPUTING; Peridynamics; Zero-energy modes; Correspondence model
Citation Formats
Chen, Hailong, and Spencer, Benjamin W. Peridynamic bond-associated correspondence model: Stability and convergence properties. United States: N. p., 2018.
Web. doi:10.1002/nme.5973.
Chen, Hailong, & Spencer, Benjamin W. Peridynamic bond-associated correspondence model: Stability and convergence properties. United States. https://doi.org/10.1002/nme.5973
Chen, Hailong, and Spencer, Benjamin W. Tue .
"Peridynamic bond-associated correspondence model: Stability and convergence properties". United States. https://doi.org/10.1002/nme.5973. https://www.osti.gov/servlets/purl/1572458.
@article{osti_1572458,
title = {Peridynamic bond-associated correspondence model: Stability and convergence properties},
author = {Chen, Hailong and Spencer, Benjamin W.},
abstractNote = {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.},
doi = {10.1002/nme.5973},
journal = {International Journal for Numerical Methods in Engineering},
number = 6,
volume = 117,
place = {United States},
year = {Tue Oct 16 00:00:00 EDT 2018},
month = {Tue Oct 16 00:00:00 EDT 2018}
}
Web of Science
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Works referencing / citing this record:
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