Predicting Damage in Notched Functionally Graded Materials Plates through extended Finite Element Method based on computational simulations

Author:

Siguerdjidjene Hakim1ORCID,Houari Amin2ORCID,Madani Kouider3ORCID,Amroune Salah4ORCID,Mokhtari Mohamed5,Mohamad Barhm6ORCID,Ahmed Chellil7,Merah Abdelkrim8ORCID,Campilho Raul9

Affiliation:

1. Materials, Processes and Environment (UR/MPE), Faculty of Technology, University M’hamed Bougara of Boumerdes, City Frantz Fanon, 35000 Boumerdes, Algeria

2. Laboratory of Motor Dynamics and Vibroacoustics (LDMV), Department of Mechanical Engineering, M’hamed Bougara University of Boumerdes, Boumerdes, Algeria

3. Department of Mechanical Engineering, LMSS, University of Djillali Liabes, Sidi Bel Abbes, Algeria

4. Mechanical Department, Faculty of Technology, University of Msila, Algeria

5. Department of Mechanical Engineering, RTF, National Polytechnic School of Oran, Algeria

6. Department of Petroleum Technology, Koya Technical Institute, Erbil Polytechnic University, 44001 Erbil, Iraq

7. Research Unit: Materials, Processes and Environment (UR/MPE), Faculty of Technology, University Boumerdes, Cité Frantz Fanon, 35000 Boumerdes, Algeria

8. Materials, Processes and Environment (UR/MPE), Faculty of Technology, University M’hamed Bougara of Boumerdes, City Frantz Fanon, 35000 Boumerdes, Algeria LTSE, Faculty of Physics, USTHB, Bab Ezzouar 16111, Algiers, Algeria

9. ISEP – School of Engineering, Polytechnic of Porto, Porto, Portugal

Abstract

Presently, Functionally Graded Materials (FGMs) are extensively utilised in several industrial sectors, and the modelling of their mechanical behaviour is consistently advancing. Most studies investigate the impact of layers on the mechanical characteristics, resulting in a discontinuity in the material. In the present study, the extended Finite Element Method (XFEM) technique is used to analyse the damage in a Metal/Ceramic plate (FGM-Al/SiC) with a circular central notch. The plate is subjected to a uniaxial tensile force. The maximum stress criterion was employed for fracture initiation and the energy criterion for its propagation and evolution. The FGM (Al/SiC) structure is graded based on its thickness using a modified power law. The plastic characteristics of the structure were estimated using the Tamura-Tomota-Ozawa (TTO) model in a user-defined field variables (USDFLD) subroutine. Validation of the numerical model in the form of a stress-strain curve with the findings of the experimental tests was established following a mesh sensitivity investigation and demonstrated good convergence. The influence of the notch dimensions and gradation exponent on the structural response and damage development was also explored. Additionally, force-displacement curves were employed to display the data, highlighting the fracture propagation pattern within the FGM structure.

Publisher

Gruppo Italiano Frattura

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