Structural Mechanics of Engineering Constructions and BuildingsStructural Mechanics of Engineering Constructions and Buildings1815-52352587-8700Peoples’ Friendship University of Russia named after Patrice Lumumba (RUDN University)2257510.22363/1815-5235-2019-15-6-483-496Research ArticlePrinciple of the overlay deformations in the theory of creepLarionovEvgeniy A.<p>Doctor of Science (Technical), Professor of Department of Applied Mathematics</p>i.v.ivn@mail.ruRimshinVladimir I.<p>Doctor of Science (Technical), Professor of Department of Construction; Corresponding Member of the Russian Academy of Architecture and Construction Sciences</p>i.v.ivn@mail.ruZhdanovaTatyana V.<p>graduate student of Department of Applied Mathematics</p>i.v.ivn@mail.ruMoscow State University of Civil Engineering1512201915648349629122019Copyright © 2019, Larionov E.A., Rimshin V.I., Zhdanova T.V.2019<p>The aim of the research is to justify in the non-linear statement the overlay principle of fraction creep deformation, known in the linear creep theory as Bolzmanns principle of superposition. Methods. In contrast to the traditional approach the material of constructive elements is considered as an union of its links with statistical disturbed strength. The model of structural strength allows the deduction of rheological equations. In loading process so called structural stresses of capable to resist links are considered. Results. The modification Bolzmanns principle of superposition for fraction creep deformations is proposed. This permits its applicability also under non-linearly dependence of deformations on stresses. In according to concept of the statistical distribution of the strengths of links and linear dependence of determinations on structural stresses the rheological of mechanical statement is reduced. This equation implies the suitable on relation problems the linear integral equation. 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