New calculation method of the mechanical tensile behaviour of lumen biofibres using statistical comparison with two conventional methods

This work focuses on probability and statistical analysis, which presents the evaluation and scientific judgement of the results of our mechanical experiments and the calculation of fibre behaviour. The study was based on the energy method, the crushed section calculation method and the average (non-crushed) section calculation method. To achieve this objective, statistical methods are used to analyse the data of a process with two parameters, as advocated by Weibull, which gives good agreement for the elasticity coefficient and stress at failure for both the energetic and crushed section methods. To better understand at what level and where during the process, changes can be made to improve the technique of calculating mechanical behaviour, one-factor analysis of variance, Dunnett and Hsu’s multiple comparisons and Tukey and Fisher’s pairwise comparison were used to show the variance and differences between the three calculation methods. The experiment of the quasi-static tensile test was conducted on more than 500 artichoke fibre specimens and calculations using the three previous methods. This represents ten samples, which differ significantly in their mass and dimensions.