TY - JOUR AU - Bouchikhi, Aboubakar Seddik AU - Lousdad, Abdelkader AU - Yassine, Khalfi AU - Bouida, Nasser Eddine AU - Gouasmi, Sadek AU - Megueni, Abdelkader PY - 2019/03/04 Y2 - 2024/03/28 TI - Finite Element Analysis of Interactions of between two cracks in FGM notched Plate under Mechanical Loading JF - Frattura ed Integrità Strutturale JA - Fra&IntStrut VL - 13 IS - 48 SE - Miscellanea DO - 10.3221/IGF-ESIS.48.20 UR - https://www.fracturae.com/index.php/fis/article/view/2342 SP - 174-192 AB - <p>The investigation of multiple crack interactions in fracture mechanics is important to predict the safety and reliability of structures. This paper introduces a numerical investigation<em> used to calculate the J-integral</em> of the main crack behaviour emanating from a semicircular notch and double semicircular notch and its interaction with another crack which may occur in various positions<em> in (TiB/Ti) FGM plate</em> 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. &nbsp;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.&nbsp; The variation of the J-integral according to the position, the length, and the angle of rotation of cracks is demonstrated. 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.</p> ER -