Probabilistic approach of the failure of Lovoa trichilioides and Triplochiton scleroxylon

The aim of this work is the probabilistic modeling of the failure of Lovoa trichilioides and Triplochiton scleroxylonspecies. A general presentation of the wood while focusing on the Weibull distributions was carry out. Parameters of the Weibull distribution for each of the materials were determined. We remark that when the Weibull shape parameter is small, the failure stresses dispersion is greater and the Weibull scale parameter increase or decrease depending on the stress. It is also shown that Lovoa trichilioides exhibits a high dispersion of breaking stress in contrast to Triplochiton scleroxylon. A comparison of the experimental data with the statistical laws allowed us to show that the three-parameter Weibull distribution better models the failure than the normal and the two-parameter Weibull distributions. The studies of variance prove that the failure stresses of Triplochiton scleroxylon vary less in comparison with that of Lovoa trichilioides.