Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. / Belyaev, Alexander K.; Morozov, Nikita F.; Tovstik, Petr E.; Tovstik, Tatiana P.
Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer Nature, 2022. p. 27-38 (Advanced Structured Materials; Vol. 151).Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review
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TY - CHAP
T1 - Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers
AU - Belyaev, Alexander K.
AU - Morozov, Nikita F.
AU - Tovstik, Petr E.
AU - Tovstik, Tatiana P.
N1 - Belyaev A.K., Morozov N.F., Tovstik P.E., Tovstik T.P. (2022) Bending Stiffness of Multilayer Plates with Alternating Soft and Hard Layers. In: Altenbach H., Bauer S., Eremeyev V.A., Mikhasev G.I., Morozov N.F. (eds) Recent Approaches in the Theory of Plates and Plate-Like Structures. Advanced Structured Materials, vol 151. Springer, Cham. https://proxy.library.spbu.ru:2060/10.1007/978-3-030-87185-7_3
PY - 2022
Y1 - 2022
N2 - The bending stiffness of a multilayer plate with alternating soft and hard layers is considered under the assumption that the deformation wavelength is substantially greater than the plate thickness. We discuss the approximate methods for determining the shear compliance required for replacing a multilayer plate with an equivalent single-layer Timoshenko–Reissner plate. A comparison is made with the exact solution of the three-dimensional problem of the theory of elasticity. The dependence of shear compliance on the ratio of Young’s moduli of layers and on their location is investigated.
AB - The bending stiffness of a multilayer plate with alternating soft and hard layers is considered under the assumption that the deformation wavelength is substantially greater than the plate thickness. We discuss the approximate methods for determining the shear compliance required for replacing a multilayer plate with an equivalent single-layer Timoshenko–Reissner plate. A comparison is made with the exact solution of the three-dimensional problem of the theory of elasticity. The dependence of shear compliance on the ratio of Young’s moduli of layers and on their location is investigated.
KW - Generalized Timoshenko–Reissner model
KW - Long-wave deformation
KW - Multilayer plate
KW - Plate vibrations and buckling
KW - Transverse shear stiffness
UR - http://www.scopus.com/inward/record.url?scp=85122439349&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/b2aa7717-52b2-3fa0-9731-a0b0288b9d0f/
U2 - 10.1007/978-3-030-87185-7_3
DO - 10.1007/978-3-030-87185-7_3
M3 - Chapter
AN - SCOPUS:85122439349
SN - 978-3-030-87184-0
T3 - Advanced Structured Materials
SP - 27
EP - 38
BT - Recent Approaches in the Theory of Plates and Plate-Like Structures
PB - Springer Nature
ER -
ID: 91854824