A study of the effect of surface treatments on the tensile strength of flax fibres: Part II. Application of Weibull statistics

Assessment of the tensile properties of coir, bamboo and jute fibre

“…Zafeiropoulos & Baillie [3] determined mean and standard deviation according to those two distributions for results of tensile tests on flax fibres and also come to the same conclusion. They also remark that the Weibull parameters should be the same for different test lengths, which is not the case in their and this study.…”

“…2 illustrates that and tthe longer the fibre, the more chance there is for a weak link where the fibre can break at a certain load [1]. The tensile strength is described through the Weibull distribution by a lot of scientists [2,3]. The use of this distribution can be defended if the strength is controlled by the presence of critical flaws and if the material is brittle.…”

The effect of mechanical defects on the strength distribution of elementary flax fibres

“…Natural fibres have been shown to possess higher scatter of the mechanical properties than the man-made ones [1][2][3][4]. While the scatter of fibre stiffness exerts limited effect on composite properties, fibre strength distribution affects both strength and toughness of a composite.…”

“…The values of the shape parameter a 0 , characterizing the scatter of strength, range from 2 to 4.3 for elementary flax fibres of 5 to 20 mm length extracted from green and dew-retted flax [1,2,4,8,9], being consistently lower than those of glass fibres of comparable dimensions obtained by the same specimen preparation and tension test procedure (see e.g. [10]).…”

A Weibull statistics‐based lignocellulose saccharification model and a built‐in parameter accurately predict lignocellulose hydrolysis performance

“…Briefly, the probability of structural failure was considered a function of the pressure to fail (x). The cumulative distribution function of failure probability (y) can be expressed in the following form (n and k are parameters that are respectively termed the shape and scale parameter):This distribution was later found to be applicable in a wide range of fields, such as fiber fracture process [20] and microbial survival during beer pasteurization [21], because these processes also describe the response of failure to pressure. The enzymatic lignocellulose degradation process falls into the same category, as the rate of cellulose degradation which is proportional to glucose production can be viewed as the probability of cellulose fiber failure, and the saccharification (enzyme treatment) time can be viewed as the pressure for cellulose to fail.…”