Abstract
In the paper stress field singularities at the tip of a reinforcing fibre with a single lateral crack subjected to normal – transverse and longitudinal - and shearing loading are analysed. The analytical solution to this plane problem of elasticity has shown three different real values of stress field exponents that may produce singular effects near the tip. Numerical results of the FEM solution have shown that two singular values are related with KII and the third corresponds to KI. Analytical solutions of stress and displacement field components are available in the polar coordinate system, as a function of independent, conveniently defined stress intensity factors. A particular numerical solution to this problem obtained using the FEM, for a fibre of arbitrarily chosen length, served as a verification of the accuracy, determination of its range of validity and as a tool for obtaining numerical values of stress intensity factors for different loading conditions.
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Mieczkowski, G., Molski, K. (2006). STRESS FIELD SINGULARITIES FOR REINFORCING FIBRE WITH A SINGLE LATERAL CRACK. In: Sadowski, T. (eds) IUTAM Symposium on Multiscale Modelling of Damage and Fracture Processes in Composite Materials. SOLID MECHANICS AND ITS APPLICATIONS, vol 135. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4566-2_21
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DOI: https://doi.org/10.1007/1-4020-4566-2_21
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