Probabilistic high cycle fatigue behavior prediction of A356-T6 alloy considering the SDAS dispersion

  • A. Ben Ahmed
  • A. Nasr
  • R. Fathallah


This paper proposes an engineering approach to determine the probabilistic Kitagawa diagram of defective A356-T6 aluminum alloy considering the modification introduced by varying the secondary dendrite arming spacing (SDAS). The developed approach is carried out by coupling of FE analysis, defect stress gradient (DSG) criterion, and Monte Carlo simulation (MCS) method. In this context, a 3D-finite element analysis (FEA) for different cases of defect sizes and loading conditions using ABAQUS commercial software is established. The nonlinear isotropic/kinematic hardening model implemented in ABAQUS is used to characterize material behavior. Comparing with experimental results, the developed probabilistic approach presents an efficient numerical tool for predicting fatigue limit under fully reserved tension and torsion loadings due to the random distribution of the SDAS parameter. These probabilistic Kitagawa diagrams allow the engineer to be engaged in a practical problem to evaluate the fatigue limit in a more efficient and safe way. In addition, the sensitivity effects of defect size and SDAS parameter for predicting fatigue limit of A356-T6 aluminum alloy under alternate tension and torsion loadings is discussed using response surface methodology (RSM).


Fatigue limit Finite element analysis Monte Carlo simulation RSM Probability density function PDF SDAS 


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© Springer-Verlag London 2016

Authors and Affiliations

  1. 1.Laboratoire de Mécanique de Sousse (LMS), Ecole Nationale d’Ingénieurs de Sousse (ENISo)Université de SousseSousseTunisia
  2. 2.Laboratoire de Génie Mécanique (LGM), Institut préparatoire aux études d’ingénieurs de Monastir (IPEM)Université de MonastirMonastirTunisia

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