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

• Main Authors: Aboubakar Seddik Bouchikhi, Abdelkader Lousdad, Khalfi Yassine, Nasser Eddine Bouida, Sadek Gouasmi, Abdelkader Megueni
• Format: Article
• Language: English
• Published: Gruppo Italiano Frattura 2019-04-01
• Series: Frattura ed Integrità Strutturale
• Subjects: Functionally graded material (FGM); Finite element method (FEM); Crack; J Integral; Mode I; Interaction
• Online Access: https://www.fracturae.com/index.php/fis/article/view/2342/2438

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. Youngs 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蒒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.