Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2023-6pp.2364-2381

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M. Chafi, M.A. Bouchelarm, A. Boulenouar, and N. Benseddiq, "Two-Term Fracture Approach for the Prediction of Mixed Mode Crack Direction in Functionally Graded Materials," Mech. Solids. 58 (6), 2364-2381 (2023)
Year 2023 Volume 58 Number 6 Pages 2364-2381
DOI 10.3103/S0025654423601441
Title Two-Term Fracture Approach for the Prediction of Mixed Mode Crack Direction in Functionally Graded Materials
Author(s) M. Chafi (Laboratoire de Matériaux et Systèmes Réactifs, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes, 22000 Algeria)
M.A. Bouchelarm (Laboratoire de Matériaux et Systèmes Réactifs, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes, 22000 Algeria, m.bouchelarm@yahoo.com)
A. Boulenouar (Laboratoire de Matériaux et Systèmes Réactifs, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes, 22000 Algeria)
N. Benseddiq (Unité de Mécanique de Lille, EA 7512 UML, University of Lille, Lille, 59000 France)
Abstract In a two terms approach, the representation of the stress field at the crack-tip consists of the mixed mode stress intensity factors (SIFs) as well as the non-singular term, the so-called T-stress. For the prediction of the crack direction in functionally graded materials, a short beam bend (SBB) containing an inclined pre-crack was considered. The main purpose is to investigate the influence of T-stress on the fracture initial angle under mixed mode conditions. Various specimen combinations were analyzed to generate different opening and shearing modes. Using the displacement field near the crack-tip, the fracture parameters were numerically determined then implemented in a subroutine to evaluate the fracture initial angle by both traditional and generalized maximum circumferential stress criteria. The results showed a difference in the predicted crack initial angle; this difference becomes more noticeable as the mode II becomes dominant which is attributed to the consideration of T-stress.
Keywords mixed mode loading, stress intensity factors, T-stress, biaxiality, fracture criteria, crack growth, functionally graded materials
Received 12 August 2023Revised 14 October 2023Accepted 16 October 2023
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