We formulate computational models used to determine the durability of plates with systems of cracks under the action of long-term static loads, high temperatures, and hydrogen-containing environments. These models are based on the first law of thermodynamics, i.e., on the balance of energy components and rates of their changes in metallic materials containing macrocracks and subjected to long-term tension, high-temperature field, and hydrogen-containing environments. We also consider specific cases of periodic and doubly periodic systems of cracks.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 1, pp. 97–104, January–April, 2014.
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Andreikiv, O.E., Yavors’ka, N.V. & Kukhar, V.Z. Mathematical Models for Estimating the Residual Life of Plates with Systems of Cracks Under the Action of Long-Term Static Loads, High Temperatures, and Hydrogen. J Math Sci 212, 121–130 (2016). https://doi.org/10.1007/s10958-015-2653-5
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DOI: https://doi.org/10.1007/s10958-015-2653-5