Abstract

We propose a local criterion of brittle strength for structurally inhomogeneous materials based on the size effect of mechanical properties of materials under the conditions of stress concentration. It is assumed that the function of local strength of the material depends on the scaling factor equal to the ratio of the size of the zone of stress concentration to the characteristic structural size of the material. We study the problem of strength of a solid body containing a stress concentrator of any size and shape in tension, including the limiting case of degeneration of a smooth concentrator into a rectilinear (or circular) crack. The requirements to the behavior of the critical stress and critical size of the defect are formulated and the form of the function of local strength is specified. For the fracture stress, we deduce interpolation-type expressions and compare the obtained numerical results with the available experimental data.

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