Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › Рецензирование
Some Two-dimensional Non-classical Models of Anisotropic Plates. / Belyaev, Alexander K. ; Morozov, Nikita F. ; Tovstik, Peter E. ; Tovstik, Tatyana P. .
Analysis of Plates, Shells and Beams: A State of the Art Report. ред. / Holm Altenbach; Natalia Chinchaladze; Reinhold Kienzler; Wolfgang H. Müller. Том 134 Springer Nature, 2020. стр. 75-94 (Advanced Structured Materials; Том 134).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › Рецензирование
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TY - CHAP
T1 - Some Two-dimensional Non-classical Models of Anisotropic Plates
AU - Belyaev, Alexander K.
AU - Morozov, Nikita F.
AU - Tovstik, Peter E.
AU - Tovstik, Tatyana P.
N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.
PY - 2020
Y1 - 2020
N2 - Thin elastic plates made of an anisotropic material (with 21 elastic moduli) and heterogeneous in the thickness direction (in partial, multilayered) are considered. A short overview of various 2D models describing deformations and vibrations of a plate is given. The classical Kirchhoff–Love and the Timoshenko–Reissner models are discussed and compared in cases of isotropic and transversely isotropic materials. A correspondence of boundary conditions of these models is established. A multilayered plate with alternating soft and hard layers is considered. By using an asymptotic expansion of the solution in a series in small thickness parameter, the 2D equations of second-order accuracy are delivered. From these equations the correct choice of parameters of the single-layered Timoshenko–Reissner model is derived, which is equivalent to a given multilayered plate. In the case of general anisotropy, a model of second-order accuracy is presented as well, and the main properties of the harmonic solutions for static problems and for free vibrations of a plate are briefly described.
AB - Thin elastic plates made of an anisotropic material (with 21 elastic moduli) and heterogeneous in the thickness direction (in partial, multilayered) are considered. A short overview of various 2D models describing deformations and vibrations of a plate is given. The classical Kirchhoff–Love and the Timoshenko–Reissner models are discussed and compared in cases of isotropic and transversely isotropic materials. A correspondence of boundary conditions of these models is established. A multilayered plate with alternating soft and hard layers is considered. By using an asymptotic expansion of the solution in a series in small thickness parameter, the 2D equations of second-order accuracy are delivered. From these equations the correct choice of parameters of the single-layered Timoshenko–Reissner model is derived, which is equivalent to a given multilayered plate. In the case of general anisotropy, a model of second-order accuracy is presented as well, and the main properties of the harmonic solutions for static problems and for free vibrations of a plate are briefly described.
KW - 2D MODEL OF SECOND-ORDER ACCURACY
KW - ANISOTROPIC MULTILAYERED PLATES
KW - TIMOSHENKO-REISSNER MODEL
KW - TRANSVERSAL SHEAR INFLUENCE
KW - Anisotropic multilayered plates
KW - Timoshenko–Reissner model
KW - Transversal shear influence
KW - 2D model of second-order accuracy
UR - https://www.elibrary.ru/item.asp?id=43296123
UR - http://www.scopus.com/inward/record.url?scp=85086124701&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-47491-1_5
DO - 10.1007/978-3-030-47491-1_5
M3 - Chapter
SN - 9783030474904
VL - 134
T3 - Advanced Structured Materials
SP - 75
EP - 94
BT - Analysis of Plates, Shells and Beams
A2 - Altenbach, Holm
A2 - Chinchaladze, Natalia
A2 - Kienzler, Reinhold
A2 - Müller, Wolfgang H.
PB - Springer Nature
ER -
ID: 62491196