Email this article Creep theory inverse problem for non-work-hardening body
- Authors: Tsvelodub I.Y.1
-
Affiliations:
- M. A. Lavrentyev Institute of Hydrodynamics, Siberian Branch of RAS
- Issue: Vol 18, No 2 (2014)
- Pages: 115-124
- Section: Articles
- URL: https://bakhtiniada.ru/1991-8615/article/view/20746
- DOI: https://doi.org/10.14498/vsgtu1320
- ID: 20746
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Abstract
The body formation by constant external forces in the conditions of the steady-state creep during set time problem is formulated and solved so that after removal of loadings the movements of points of a surface accepted preset values. The case of small deformations is considered. At certain assumptions and restrictions the uniqueness theorem for the solution of this task is proved. Applied questions of a problem of finding the external influences which are necessary for receiving a demanded shape of a body for set time in the conditions of rheological deformation after removal of external forces (taking into account elastic unloading) are analyzed. The analysis of a thin-walled isotropic plate for a case of a flat tension is made in details. The solution for movements is searched in the form of an expansion in small parameter. The model solution for a round plate of single radius under the influence of constant external loadings which should have the set field of movements after creep and elastic unloading is provided.
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##article.viewOnOriginalSite##About the authors
Igor Yu Tsvelodub
M. A. Lavrentyev Institute of Hydrodynamics, Siberian Branch of RAS
Email: itsvel@hydro.nsc.ru
(Dr. Phys. & Math. Sci.)), Head of Laboratory, Laboratory of Static Strength, Dept. of Structural Mechanics 15, Lavrentyeva pr., Novosibirsk, 630090, Russian Federation
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