Influence of the presence of defects on the adhesive layer for the single-lap bonded joint-Part II: Probabilistic assessment of the critical state

In this paper, we analyze the variation of shear stresses in the adhesive layer, used in a single lap joint, in the presence of variable numbers and positions of defects. The results of the value of maximal shear stresses were used to develop a shear stress probability distribution models in the adhesive of SLJ with presence of one, ten and fifty defects with random position to improve the damage probability. Based on the result found in part-I [1], a set of theoretical samples was generated and their corresponding histograms using Freedman-Diaconis method. Seven different probability density functions (PDFs) were fitted to these histograms. In each case, a Kolmogorov-Smirnov test was used to evaluate the quality of fit. Finally, after substituting the values of estimated parameters for each distribution, a set of fully defined PDFs have been proposed for the shear stress in the adhesive layer of SLJ in the presence of artificial defects with random positions. This PDF has been used to introduce a new criterion included critical shear stress but also distribution parameters of damage.