Issue 48

A. S. Bouchikhi et al., Frattura ed Integrità Strutturale, 48 (2019) 174-192; DOI: 10.3221/IGF-ESIS.48.20

Finite Element Analysis of Interactions between two cracks in FGM notched Plate under Mechanical Loading

Aboubakar Seddik Bouchikhi, Abdelkader Lousdad, Khalfi Yassine, Nasser Eddine Bouida, Sadek Gouasmi, Abdelkader Megueni Department of Mechanics, BP 89, Cité Ben M’hidi - Sidi Bel Abbes (22000), University of Sidi Bel Abbès, Sidi Bel Abbes, Algeria bouida24@gmail.com, as_bouchikhi@univ-sba.dz

A BSTRACT . The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a 2D numerical investigation used to calculate the J-integral of the main crack behavior emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions in titanium /titanium boride functionally graded material (TiB/Ti FGM) plate subjected to tensile mechanical load. Young’s modulus of the functionally graded material plate varies along the specimen width (notch radius direction r-FGM) with exponential-law (E-FGM) function. Further, the Poisson’s ratio is taken as a constant in normal direction. For this purpose the variations of the material properties are applied at the integration points and at the nodes by implementing a subroutine USDFLD in the ABAQUS software. The variation of the J-integral according to the position, the length, and the angle of rotation of cracks are examined; also the effect of different parameters for double notch FGM plate is investigated as well as the effect of band of FGM within the ceramic plate to reduce J- integral. According to the numerical analysis, all parameters above played an important role in determining the J-integral. K EYWORDS . Functionally graded material (FGM); Finite element method (FEM); Crack; J Integral; Mode I; Interaction.

Citation: Bouida, N., Bouchikhi, A.S., Lousdad, A., Gouasmi, S., Megueni, A., Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading, Frattura ed Integrità Strutturale, 48 (2019) 174-192.

Received: 29.12.2018 Accepted: 17.02.2019 Published: 01.04.2019

Copyright: © 2019 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

I NTRODUCTION

he formations of cracks are strongly depending on the type of materials, loading, environmental aggression and design condition of mechanical components. In general, crack grows perpendicularly to the axis of loading. However under circumstances, a crack also propagates obliquely especially as a result of hydrogen induced cold crack after the metal welding. In this case, most cracks appeared not in a single crack but in the form of multiple cracks. Tremendous amount of works can be found in analyzing the growth crack in open literature [1-3]. For examples Matsumto et al. [1] evaluated the stress intensity factor of growth crack along two different materials using an interaction T

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