Abstract
The question of a guarantee as a measure of reliability of polymer structures is discussed. The probability that the difference of the values of the strength of structures and limiting load will be greater than zero is taken as the guarantee. It is shown that in the general case the value of the guarantee is a function of time. The general conjectures are illustrated by an example in which the laws of distribution of loads and strength are taken as normal.
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Literature cited
N. N. Afanas'ev, Statistical Theory of Fatigue Strength of Metals [in Russian], Kiev (1953).
A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Resistance of Stiff Polymer Materials [in Russian], Riga (1967).
E. S. Wentzel, Probability Theory [Russian translation], Moscow (1962).
L. P. Leont'ev, in: Automation and Computing Machinery [in Russian], No. 6, Riga (1963).
V. V. Bolotin, Statistical Methods in Structural Mechanics [in Russian], Moscow (1965).
L. P. Leont'ev, in: Automation and Computing Machinery [in Russian], No. 2 (1967), p. 17.
Additional information
Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 3, pp. 509–513, May–June, 1970.
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Leont'ev, L.P. A guarantee as a measure of reliability of polymer structures. Polymer Mechanics 6, 440–443 (1970). https://doi.org/10.1007/BF00858208
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DOI: https://doi.org/10.1007/BF00858208