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Structural-probabilistic approach to determining the durability for structures of brittle materials

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Abstract

A structural-probabilistic model of fatigue failure of structures made of elasto-brittle materials and undergoing cyclic loading is proposed. The model is based on the use of the Daniels model of accumulation of defects in the form of flat stochastically dispersed microcracks and of the statistical strength criterion for materials whose failure occurs by forming rupture macrocracks. This statistical criterion is convenient to use in the study of fatigue failure under cyclic loading. The reason for its applicability in such problems is the experimentally established connection of the fatigue failure mechanism with the phenomenon of accumulation of microdamages in the material. It is assumed that the microcrack concentration defines the service life of structures. The proposed approach makes it possible to find the residual ultimate strength of the material after n-fold loading and the conditional fatigue limit for the prescribed testing base N. The proposed approach is applied to study the dependency of rod designs’ durability on the determining parameters such as amplitude and frequency of the cyclic loading.

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Authors and Affiliations

  1. S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Nesterova, 3 str., Kiev, 03057, Ukraine

    D. Babich, V. Bastun & T. Dorodnykh

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  1. D. Babich
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  2. V. Bastun
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  3. T. Dorodnykh
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Correspondence to D. Babich or T. Dorodnykh.

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Babich, D., Bastun, V. & Dorodnykh, T. Structural-probabilistic approach to determining the durability for structures of brittle materials. Acta Mech 228, 269–274 (2017). https://doi.org/10.1007/s00707-016-1714-2

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  • DOI: https://doi.org/10.1007/s00707-016-1714-2

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