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Principle of the overlay deformations in the theory of creep
- 作者: Larionov E.A.1, Rimshin V.I.1, Zhdanova T.V.1
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隶属关系:
- Moscow State University of Civil Engineering
- 期: 卷 15, 编号 6 (2019)
- 页面: 483-496
- 栏目: Theory of Creep
- URL: https://journal-vniispk.ru/1815-5235/article/view/346304
- DOI: https://doi.org/10.22363/1815-5235-2019-15-6-483-496
- ID: 346304
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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 Bolzmann’s 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 Bolzmann’s 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. The relation of structural strength of material with its energy of entirety and with the experimentally known independency of specific to strength deformation on age of concrete is showed. The correct interpretations of certain known mechanical state equations for concrete are represented.
作者简介
Evgeniy Larionov
Moscow State University of Civil Engineering
编辑信件的主要联系方式.
Email: i.v.ivn@mail.ru
Doctor of Science (Technical), Professor of Department of Applied Mathematics
26 Yaroslavskoye Shosse, Moscow, 129337, Russian FederationVladimir Rimshin
Moscow State University of Civil Engineering
Email: i.v.ivn@mail.ru
Doctor of Science (Technical), Professor of Department of Construction; Corresponding Member of the Russian Academy of Architecture and Construction Sciences
26 Yaroslavskoye Shosse, Moscow, 129337, Russian FederationTatyana Zhdanova
Moscow State University of Civil Engineering
Email: i.v.ivn@mail.ru
graduate student of Department of Applied Mathematics
26 Yaroslavskoye Shosse, Moscow, 129337, Russian Federation参考
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