Registration Number
0226U002091,
(0124U005021)
, R & D reports
Title
The development of the nonlinear three-dimensional creep theory of hereditary type and elaborating the heredity kernel methods identification.
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Побудова системи визначальних рівнянь теорії повзучості спадкового типу за умов одновісного напруженого стану
Head
Golub Vladyslav P., д.т.н.
Registration Date
06-02-2026
Organization
S.P. Tymoshenka Institute of Mechanics of the National Academy of Sciences of Ukraine
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The derivation of the system of constitutive equations of the nonlinear three-dimensional creep theory of hereditary type, selection and justification of the structure of heredity kernels, the development of methods for determining the parameters of heredity kernels and solving the problems of calculation of creep deformations and stresses relaxation in structural elements made of viscoelastic materials, taking into account the influence of the type of stress state and history load.
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REPORT
A system of constitutive equations for hereditary creep theory under uniaxial stress conditions is developed. Recommendations are proposed for determining the material constants of hereditary creep in structural materials and for predicting critical creep-induced deformations of structural elements. The nonlinearity of material behavior is described through the nonlinearity of instantaneous stress–strain diagrams, based on the hypothesis of a unified isochronous diagram. The structure of the heredity kernels is represented by fractional-exponential functions. Experimental validation of the constitutive equations and the procedures for identifying the parameters of the heredity kernels is carried out by solving creep and relaxation problems under stationary loading conditions.
Product Description
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Yaroslav V. Pavluyk
Sviatoslav I. Motrunich
Volodymyr M. Pelykh
Nataliya V. Romanova
Vira S. Ushakova
Valentyna V. Kasperska
Alla V. Plashchynska
Oleksandr V. Romanov
Yurii Y. Yarovynskyi
Svitlana B. Danylchenko
Serhii O. Solovei
Olena A. Kaminska
Dmytro P. Chernous
Zoia V. Kovhanych
Borys P. Maslov
Pavlo D. Chernous
VLADYSLAV P. GOLUB
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2026-02-06
