Abstract
The test problem of brittle fracture mechanics for a mode I crack is considered, and the asymptotics of solution is constructed in the vicinity of a crack tip using a gradient theory of deformation, which takes into account scale effects. It is shown that, in contrast to the classical theory of elasticity, the gradient theory can be used to obtain nonsingular solutions at the crack tip at various degrees of accuracy, which makes it possible to refine the trajectories of the limiting stresses and to substantiate the classification of brittle fracture mechanisms depending on the scale structural parameters (characteristic grain size).
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Original Russian Text © S.A. Lur’e, P.A. Belov, 2013, published in Deformatsiya i Razrushenie Materialov, 2013, No. 5, pp. 10–17.
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Lur’e, S.A., Belov, P.A. Scale effects in brittle fracture mechanics. Russ. Metall. 2014, 800–806 (2014). https://doi.org/10.1134/S0036029514100061
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DOI: https://doi.org/10.1134/S0036029514100061