Predicting Damage in Notched Functionally Graded Materials Plates through extended Finite Element Method based on computational simulations
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https://orcid.org/0000-0003-1428-6786
Amin Houari
Laboratory of Motor Dynamics and Vibroacoustics (LDMV), Department of Mechanical Engineering, M’hamed Bougara University of Boumerdes, Boumerdes, Algeria
https://orcid.org/0009-0004-2617-2182
Kouider Madani
Department of Mechanical Engineering, LMSS, University of Djillali Liabes, Sidi Bel Abbes, Algeria
https://orcid.org/0000-0003-3277-1187
Salah Amroune
Mechanical Department, Faculty of Technology, University of Msila, Algeria
https://orcid.org/0000-0002-9565-1935
Mohamed Mokhtari
Department of Mechanical Engineering, RTF, National Polytechnic School of Oran, Algeria
Barhm Mohamad
Department of Petroleum Technology, Koya Technical Institute, Erbil Polytechnic University, 44001 Erbil, Iraq
https://orcid.org/0000-0001-8107-6127
Chellil Ahmed
Research Unit: Materials, Processes and Environment (UR/MPE), Faculty of Technology, University Boumerdes, Cité Frantz Fanon, 35000 Boumerdes, Algeria
Abdelkrim Merah
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
https://orcid.org/0000-0003-1376-5400
Raul Campilho
ISEP – School of Engineering, Polytechnic of Porto, Porto, Portugal
https://orcid.org/0000-0003-4167-4434
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.
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