Inverse Problem of Pure Bending of a Beam under Creep Conditions

Inverse Problem of Pure Bending of a Beam under Creep Conditions Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789

Output data

Year: 2023, Volume: 17, Number: 2, Pages: 260-271 Pages count : 12 DOI: 10.1134/s1990478923020047

Tags

rectangular beam, inverse problem, bending, creep, fracture, damage parameter, resistance to tension and compression

Authors

Boyko S.V. ¹ , Larichkin A.Yu. ¹

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

We propose an algorithm for solving the inverse problem of forming structural members under creep conditions using the Nelder–Mead algorithm. The initial problem of finding the forces that must be applied to obtain the desired curvature of a part is reduced to a sequence of auxiliary direct problems of modeling the stress-strain state of pure bending of rectangular beams. This model, taking into account the difference in the properties of the material in tension and compression as well as the presence of accumulated damage in the material during creep, was verified by numerical methods and implemented in the finite element program MSC Marc

Boyko S.V. , Larichkin A.Y.
Inverse Problem of Pure Bending of a Beam under Creep Conditions
Journal of Applied and Industrial Mathematics. 2023. V.17. N2. P.260-271. DOI: 10.1134/s1990478923020047 Scopus РИНЦ OpenAlex

Бойко С.В. , Ларичкин А.Ю.
Обратная задача чистого изгиба балки в условиях ползучести
Сибирский журнал индустриальной математики. 2023. Т.26. №2(94). С.37-52. DOI: 10.33048/SIBJIM.2023.26.204 РИНЦ

Scopus:	2-s2.0-85167516469
Elibrary:	60378217
OpenAlex:	W4385640120

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