Zobrazeno 1 - 10
of 17
pro vyhledávání: '"K G Koifman"'
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
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
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
Autor:
Sergey Lychev, K G Koifman
Publikováno v:
Acta Mechanica. 230:3989-4020
In the present paper, the finite deformations of a laminated inhomogeneous spherical shell are studied. A laminated shell can be considered as a limit case for multilayered shells when the thickness of each layer tends to zero while their quantity te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c94b090b670c02dc61e50379ee36eea9
https://doi.org/10.1007/s00707-019-02399-7
https://doi.org/10.1007/s00707-019-02399-7
Publikováno v:
IFAC-PapersOnLine. 52:221-226
Control and optimization of manufacturing processes play essential role in LbL (layer-by-layer) technologies. Optimal control allows one, in particular, to reduce the residual stresses in produced details. The present paper provides an example of suc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a11b52a9f280c6acb730bb2431bcbfe
https://doi.org/10.1016/j.ifacol.2019.11.782
https://doi.org/10.1016/j.ifacol.2019.11.782
Autor:
K. G. Koifman, S. A. Lychev
Publikováno v:
Nanoscience and Technology: An International Journal. 10:97-121
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2b8ec912c36ecc62cb98580761e8dbc8
https://doi.org/10.1615/nanoscitechnolintj.2018024573
https://doi.org/10.1615/nanoscitechnolintj.2018024573
Publikováno v:
29TH RUSSIAN CONFERENCE ON MATHEMATICAL MODELLING IN NATURAL SCIENCES.
In present paper the generalized kinematics for oriented media is discussed. The approach suggested is based on the geometrical formalism, developed in the theory of connection on principle bundles. This makes it possible to take into account a range
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b69e4544a53801138ae686b016c0f08
https://doi.org/10.1063/5.0059879
https://doi.org/10.1063/5.0059879
Publikováno v:
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB).
In the present paper the model for growing oriented solid is developed. Such solids have no global stress-free shape in Euclidean physical space due to the distributed defects, "recorded" into the solid during growing process. Nonetheless, in the fra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b70ecb40f43002f7e5537ca15f7220c
https://doi.org/10.1109/stab49150.2020.9140700
https://doi.org/10.1109/stab49150.2020.9140700