Weibull Analysis of the Elastic Modulus of Bamboo Fiber of the Specimen Dendrocalmus Giganteus

"The fibers extracted from the stem of the bamboo plant have been investigated as possible reinforcement composites due to their relatively high tensile strength. Although previous works have already been conducted about the mechanical properties, up to now a dimensional characterization of the distribution and the effect of diameter on the elastic modulus of bamboo fiber of the specimen dendrocalmus giganteus has not been performed. The aim of the present work was to statistically characterize the distribution of the diameter of a lot of bamboo fibers of that specimen. Based on this characterization, diameter intervals were set and the dependence of the Elastic Modulus (E) of theses fibers with a corresponding diameter was analyzed by the Weibull Method. The results indicated an inverse dependence, in which the highest Elastic Modulus were obtained for the thinnest fibers. Moreover, it was found that a mathematical hyperbolic relationship fit well this inverse correlation between the Elastic Modulus and the bamboo fibers diameters.IntroductionBamboo is a well known grass-type plant with a hard and stiff stem or culm that can reach, in some species, more than 10 cm in cross section diameter and stand several meters height. Owing to its low density, approximately 0.9 g/cm3, bamboo culms have been used in house construction from scaffoldings to panels. As an abundant natural resource in tropical and temperate regions, specially in Asia and South America, bamboo is also a substitute for wood and plastics in furniture and lightweight parts of automobile [1,2]. The cylindrical shape of the culm is, however, a limitation for its direct use in engineering systems. Consequently, research works have been conducted on bamboo fibers stripped off from the culm as reinforcement of polymer composites. [1-12]. According to Shin et al [3] bamboo fiber-epoxy laminates can be made into specific sizes and shapes, preserving the natural microstructural properties. These fiber composites overcome the limitation of the culm's cylindrical macrostructure. As a further advantage, Shin et al [3] indicated that cracking and bioerosion caused by insect pests is prevented."