1. On the role of dynamic stress concentrations and fracture mechanics in the longitudinal tensile failure of fibre-reinforced composites
- Author
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Silvestre T. Pinho, Gianmaria Bullegas, Soraia Pimenta, Jorge Moledo Lamela, and Engineering & Physical Science Research Council (EPSRC)
- Subjects
Technology ,Materials science ,Longitudinal tensile strength ,Size effects ,0211 other engineering and technologies ,02 engineering and technology ,Mechanics ,Stress (mechanics) ,TOUGHNESS ,Mathematics::Algebraic Geometry ,BUNDLES PROBABILITY MODEL ,0203 mechanical engineering ,Ultimate tensile strength ,Fracture mechanics ,GRAPHITE FIBERS ,Micro-mechanics ,Mechanical Engineering & Transports ,General Materials Science ,Composite material ,021101 geological & geomatics engineering ,Stress concentration ,Stress concentrations ,Science & Technology ,Fibre composites ,CARBON-FIBERS ,Mechanical Engineering ,Micromechanics ,Strength of materials ,STATISTICS ,STRENGTH MODELS ,020303 mechanical engineering & transports ,Mechanics of Materials ,Bundle ,SIMULATION ,Fracture (geology) ,SHEAR-LAG MODEL ,FIBROUS MATERIALS ,MATRIX - Abstract
This paper investigates the role of dynamic stress concentrations, and of fracture mechanics-driven growth of critical clusters of fibres, on the longitudinal tensile failure of fibre-reinforced composites. For this purpose, we developed a semi-analytical fibre bundle model to simulate the longitudinal tensile failure of large composite bundles of continuous fibres. The model uses shear-lag to calculate the stress recovery along broken fibres, and an efficient field superposition method to calculate the stress concentration on the intact fibres, which has been validated against analytical and Finite Element (FE) results from the literature. The baseline version of the model uses static equilibrium stress states, and considers fibre failure driven by strength of materials (stress overload) as the only damage theory which can drive bundle failure. Like other models in the literature, the baseline model fails to capture the correct size effect (decreasing composite strength with bundle size) shown by experimental results. Two model variants have been developed which include dynamics stress concentrations and a fracture mechanics failure criterion respectively. To the knowledge of the authors, it is the first attempt in the literature to investigate these two effects in a fibre bundle model by direct simulation of large composite bundles. It is shown that, although the dynamic stress concentration significantly decreases the predicted bundle strength, it does not allow to predict the correct trend of the size effect. Finally, the results suggest that fracture mechanics may be the physical mechanism which is necessary to include to correctly predict the decreasing composite strength with bundle size shown by experimental results.
- Published
- 2020