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Linjuan Wang, R. Abeyaratne (2018)
A one-dimensional peridynamic model of defect propagation and its relation to certain other continuum modelsJournal of the Mechanics and Physics of Solids
- Publisher
- Springer Journals
- Copyright
- Copyright © The Chinese Society of Theoretical and Applied Mechanics 2021
- ISSN
- 0894-9166
- eISSN
- 1860-2134
- DOI
- 10.1007/s10338-021-00270-8
- Publisher site
- See Article on Publisher Site
Abstract
The peridynamic model of a solid is suitable for studying the dynamics of defects in materials. We use the bond-based peridynamic theory to propose a one-dimensional nonlocal continuum model to study a defect in equilibrium and in steady propagation. As the defect propagates, the material particles undergo a transition between two states. By using the Wiener–Hopf method, an explicit analytical solution of the problem is obtained. The relation between the applied force and the propagation speed of the defect is determined; our results show that the defect does not propagate if the applied force is less than a critical value, whereas propagation occurs when the force exceeds that value. The energy properties of the system are investigated.
Journal
"Acta Mechanica Solida Sinica" – Springer Journals
Published: Dec 1, 2021
Keywords: Peridynamic theory; Defect propagation; Phase transformation; The Wiener–Hopf method