Abstract
This work describes a two-dimensional numerical model that allows detecting the appearance of cracks and calculating their propagation in elements made of laminated bamboo, under tension and shear. This composite material has long parallel strong cellulose fibers embedded in a weak lignin matrix. The mechanical model that represents the failure and fracture process of laminated bamboo is still unknown. This numerical model simulates localized strains, showing the beginning and progression fracture in the material. The model is based on a two-dimensional scheme for plane stresses, using the finite element method. A one-dimensional plasticity constitutive model, based on Weibull probability distribution, is used to describe the mechanical response of the fibers, and a continuum damage constitutive model controls the behavior of the matrix. The homogenization process is done with the rule-of-mixtures, and vanishing fiber diameter simplification. Continuum strong discontinuities approach is taken as a technique to detect a jump in the displacement field, during the fracture process. This numerical model is used to simulate the failure on tensile and shear tests of laminated bamboo Guadua angustifolia, which were then compared to experimental findings. The results show that the numerical model detects the same crack patterns obtained in tests.
Highlights
I n Colombia there is a species of bamboo called Guadua angustifolia
The fracture process is modeled by means of continuum strong discontinuity approach for composite materials reinforced with long fibers [19,20]
The numerical model was tested in these cases to verify the cracking patterns and to adjust some parameters of materials that are difficult to measure in the laboratory
Summary
I n Colombia there is a species of bamboo called Guadua angustifolia This is an outstanding species of bamboo in that country, thanks to its physical-mechanical properties, its large size and its constant and abundant use in the construction industry. Studies have been carried out on the anatomy and microstructure of different bamboos in the world [7,8,9] and some on the guadua [10,11,12,13]. These latest investigations have revealed that this plant is a composite and functionally graded material. The constituents, matrix and fibers, are considered isotropic materials, whose behavior is defined by constitutive models of damage and plasticity, respectively
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