Wave dispersion analysis and evaluation of dynamic stress intensity factors using peridynamics approach

Autor: Bouaraquia O., Rafiq Y., Mabssout M.
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Applied and Computational Mechanics, Vol 18, Iss 1, Pp 5-24 (2024)
Druh dokumentu: article
ISSN: 1802-680X
2336-1182
DOI: 10.24132/acm.2024.888
Popis: The objective of this paper is to evaluate the dynamic stress intensity factors (DSIFs) of a cracked body using the bond-based peridynamics (BBPD) formulation. The peridynamics theory offers advantages over the classical continuum theory for solving partial differential equations in fracture mechanics. Nevertheless, some problems remain, such as its dispersion characteristics and constant micromodulus used in the classical BBPD. In this study, a Gaussian function is used to define the non-constant micromodulus. A wave dispersion analysis for a 1D problem was carried out and the influence of the horizon, mesh size and the kernel function on the dispersion properties were analyzed. On the other hand, a new approach to evaluate the DSIFs of a cracked body using the BBPD coupled with the displacement extrapolation technique is presented. Parameters that reduced the wave dispersion were kept for the DSIFs estimation. The proposed method is applied to analyze some benchmark examples. The obtained results are compared with the exact ones and they showed that the proposed approach can be used as an alternative method to evaluate DSIFs.
Databáze: Directory of Open Access Journals