Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Nonclassical models of the theory of plates and shells. / Annin, Boris D.; Volchkov, Yuri M.
Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017. ed. / IE Egorov; SV Popov; PN Vabishchevich; MY Antonov; NP Lazarev; MS Troeva; MS Troeva; AO Ivanova; YM Grigorev. Vol. 1907 American Institute of Physics Inc., 2017. 030030 (AIP Conference Proceedings; Vol. 1907).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Nonclassical models of the theory of plates and shells
AU - Annin, Boris D.
AU - Volchkov, Yuri M.
PY - 2017/11/14
Y1 - 2017/11/14
N2 - Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the three-dimensional elasticity theory in terms of the complete system of functions. Papers where a three-dimensional problem is reduced to a two-dimensional problem with the use of several approximations of each of the unknown functions (stresses and displacements) by segments of the Legendre polynomials are also reviewed.
AB - Publications dealing with the study of methods of reducing a three-dimensional problem of the elasticity theory to a two-dimensional problem of the theory of plates and shells are reviewed. Two approaches are considered: the use of kinematic and force hypotheses and expansion of solutions of the three-dimensional elasticity theory in terms of the complete system of functions. Papers where a three-dimensional problem is reduced to a two-dimensional problem with the use of several approximations of each of the unknown functions (stresses and displacements) by segments of the Legendre polynomials are also reviewed.
KW - BIDIRECTIONAL COMPOSITES
UR - http://www.scopus.com/inward/record.url?scp=85036561620&partnerID=8YFLogxK
U2 - 10.1063/1.5012652
DO - 10.1063/1.5012652
M3 - Conference contribution
AN - SCOPUS:85036561620
VL - 1907
T3 - AIP Conference Proceedings
BT - Proceedings of the 8th International Conference on Mathematical Modeling, ICMM 2017
A2 - Egorov, IE
A2 - Popov, SV
A2 - Vabishchevich, PN
A2 - Antonov, MY
A2 - Lazarev, NP
A2 - Troeva, MS
A2 - Troeva, MS
A2 - Ivanova, AO
A2 - Grigorev, YM
PB - American Institute of Physics Inc.
T2 - 8th International Conference on Mathematical Modeling, ICMM 2017
Y2 - 4 July 2017 through 8 July 2017
ER -
ID: 9648269