1. AZZOUZ ACHEWEK - LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, BP 89, Cité Ben M’hidi, Sidi
Bel Abbes 22000, Algeria.
2. MECHAB BELAID - LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, BP 89, Cité Ben M’hidi, Sidi
Bel Abbes 22000, Algeria.
3. KADDOURI KHACEM - LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, BP 89, Cité Ben M’hidi, Sidi
Bel Abbes 22000, Algeria.
4. MEDJAHDI MALIKA - APELEC Laboratory, University of Djillali Liabes, Sidi Bel Abbes, Algeria.
5. SALEM MOKADEM - LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, BP 89, Cité Ben M’hidi, Sidi
Bel Abbes 22000, Algeria.
6. SALEM MOHAMMED KHALIL - LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, BP 89, Cité Ben M’hidi, Sidi
Bel Abbes 22000, Algeria.
7. BACHIR BOUIADJRA BELABBES - LMPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, BP 89, Cité Ben M’hidi, Sidi
Bel Abbes 22000, Algeria.
This paper examines the probabilistic aspects of fracture mechanics for repaired cracks under tensile loading. Our approach utilizes a three-dimensional finite element method to evaluate the J-integral in plates that have been repaired and reinforced with bonded composite double patches and stiffeners. We analyzed the influence of crack length, patch thickness (ep), and the patch’s mechanical properties on the J-integral. The numerical results align well with analytical solutions available in the literature. The methodology includes performing elastic assessments to predict the J-integral, employing statistical models to account for uncertainties in loads and material properties, and using established computational techniques based on structural reliability theory for probabilistic analysis. Monte Carlo simulations were conducted to characterize the probabilistic behavior of the J-integral. The results indicate that repaired plates exhibit greater durability than those left unrepaired.
Analytical Solution, Failure, Safety, Composite, Repaired Plate and Stiffener, Probabilistic Analysis.