Abstract:
The authors obtained an exact solution of the problem of the stress-strain state of a disk made
of an isotropic hardening elastoplastic material affected by a heat source placed in the center of
the disk. The disk is in a plane stress state. All mechanical and thermal constants of the material
are temperature-independent. All the unknown quantities depend only on the distance to the point
heat source due to axial symmetry. The temperature in the heat vicinity of the source is infinitely
high.
In addition, the same problem without consideration of a hardening process was solved using
ANSYS Mechanical engineering package. It should be noted that the analytical solution is
unavailable due to infinite temperature in the center of the disk, but ANSYS made it possible to
calculate a finite value of the temperature there.
As a result, in this paper, an analytical solution of the problem of an ideal elastoplastic disk
with the point heat source in the center has been obtained. The analytical solution has been
compared with results calculated using the finite element method.
Keywords:
Ishlinskii–Prager model, plane stress state, point heat source.
Received: 11.03.2017
Bibliographic databases:
Document Type:
Article
UDC:
539.374
Language: Russian
Citation:
A. A. Afanas'ev, K. K. Gornostaev, A. V. Kovalev, A. S. Chebotarev, “On mechanical behavior of the hardening elastoplastic disk affected by a heat source”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 50, 57–66
\Bibitem{AfaGorKov17}
\by A.~A.~Afanas'ev, K.~K.~Gornostaev, A.~V.~Kovalev, A.~S.~Chebotarev
\paper On mechanical behavior of the hardening elastoplastic disk affected by a heat source
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2017
\issue 50
\pages 57--66
\mathnet{http://mi.mathnet.ru/vtgu618}
\crossref{https://doi.org/10.17223/19988621/50/5}
\elib{https://elibrary.ru/item.asp?id=30778972}
Linking options:
https://www.mathnet.ru/eng/vtgu618
https://www.mathnet.ru/eng/vtgu/y2017/i50/p57
This publication is cited in the following 2 articles:
Luudmila N. Verkhovykh, “On the issue of the meaning of the term linguo-local studies”, Neophilol., 2022, no. 1, 61
A. Yu. Burtsev, V. V. Glagolev, A. A. Markin, “Issledovanie protsessa lokalnoi razgruzki elementa v konechnoelementnom kontinuume”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2021, no. 69, 86–96
Citation in format AMSBIB
Contact us: