Zobrazeno 1 - 10
of 44
pro vyhledávání: '"S. A. Lychev"'
Autor:
S. A. Lychev
Publikováno v:
Учёные записки Казанского университета. Серия Физико-математические науки, Vol 165, Iss 4, Pp 361-388 (2024)
This article considers the methods for mathematical modeling of incompatible finite deformations of elastic plates by using the principles of the differential geometry theory underlying continuously distributed defects. Equilibrium equations were der
Externí odkaz:
https://doaj.org/article/29b6da82969d4146841381af3b454507
Autor:
V. P. Epifanov, S. A. Lychev
Publikováno v:
Лëд и снег, Vol 62, Iss 4, Pp 591-606 (2023)
Experimental data and results of theoretical modeling of the bending of a viscoelastic floating ice plate formed under constrained deformation are analyzed. When a thin plate of ice is frozen on the water surface under conditions of constrained defor
Externí odkaz:
https://doaj.org/article/535419b29dc147c4875bcaae826955ce
Autor:
S. A. Lychev, K. G. Koifman
Publikováno v:
Vestnik of Samara University. Natural Science Series. 28:53-87
The work develops differential-geometric methods for modeling of finite incompatible deformations of hyperelastic solids. Deformation incompatibility can be caused, for example, by inhomogeneous temperature fields and distributed defects. As a result
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::70722a9596a591f6553d3ef9b5339a66
https://doi.org/10.18287/2541-7525-2022-28-3-4-53-87
https://doi.org/10.18287/2541-7525-2022-28-3-4-53-87
Autor:
T. N. Lycheva, S. A. Lychev
Publikováno v:
Vestnik of Samara University. Natural Science Series. 28:55-73
The article discusses the mathematical modeling for the evolution of the stress-strain state and fields of defects in crystals during their contact interaction with a system of rigid punches. From a macroscopic point of view, the redistribution of de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2abf1b25e444b7ce6ab460a7b368e781
https://doi.org/10.18287/2541-7525-2022-28-1-2-55-73
https://doi.org/10.18287/2541-7525-2022-28-1-2-55-73
Autor:
V. P. Epifanov, S. A. Lychev
Publikováno v:
Doklady Physics. 67:5-10
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54a3207bb508716e1f9185e32c1beec9
https://doi.org/10.1134/s1028335821120041
https://doi.org/10.1134/s1028335821120041
Publikováno v:
Vestnik of Samara University. Natural Science Series. 27:81-103
The present paper develops a general approach to deriving nonlinear equations of motion for solids whose material points possess additional degrees of freedom. The essential characteristic of this approach is theaccount of incompatible deformations t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe4cead9850cc65061cce67e086b2fee
https://doi.org/10.18287/2541-7525-2021-27-1-81-103
https://doi.org/10.18287/2541-7525-2021-27-1-81-103
Autor:
K G Koifman, S. A. Lychev
Publikováno v:
Lobachevskii Journal of Mathematics. 42:1852-1875
The subject of the present paper is a material connection that describes the sources of incompatibility in growing solids. There are several possibilities to introduce such a connection on the body manifold, which provides formal description of a bod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2767ca7fd6a6828cc58f1843d264c09
https://doi.org/10.1134/s1995080221080187
https://doi.org/10.1134/s1995080221080187
Publikováno v:
PNRPU Mechanics Bulletin. :43-59
The present paper studies the evolutionary problem for self-stressed multilayered spherical shells. Their stress-strain state is characterized by incompatible local finite deformations that arise due to the geometric incompatibility of the stress-fre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cb6e924c13687b1162a04acd45e8c6d
https://doi.org/10.15593/perm.mech/2020.1.04
https://doi.org/10.15593/perm.mech/2020.1.04
Publikováno v:
PNRPU Mechanics Bulletin. :17-31
The present paper is aimed at the theoretical and experimental study of the shape distortion of thin substrates during electrolytic deposition and gaccumulation of residual stresses in them. The theoretical modeling is provided in the framework of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3afa687c42cf4e1dd71ccc88bc19eaf4
https://doi.org/10.15593/perm.mech/2020.1.02
https://doi.org/10.15593/perm.mech/2020.1.02
Autor:
K G Koifman, S. A. Lychev
Publikováno v:
Lobachevskii Journal of Mathematics. 41:2034-2052
The present paper aims to develop geometrical approach for finite incompatible deformations arising in growing solids. The phenomena of incompatibility is modeled by specific affine connection on material manifold, referred to as material connection.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a516a0d74b0fea4ddf5464ca1b12d526
https://doi.org/10.1134/s1995080220100121
https://doi.org/10.1134/s1995080220100121