Two-Dimensional Model of a Plate, Made of Material with the General Anisotropy

DOI10.1007/978-3-030-17747-8_7zbMath1464.74096OpenAlexW2977224086MaRDI QIDQ5131268

Alexander K. Belyaev, A. V. Zelinskaya, Petr E. Tovstik, Tatyana P. Tovstik, Nikita F. Morozov

Publication date: 5 November 2020

Published in: Advanced Structured Materials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-17747-8_7

zbMATH Keywords

asymptotic solutionwave propagationvibrationsecond-order accuracyanisotropic heterogeneous plate

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (3)

Long-wave vibrations and long waves in an anisotropic plate ⋮ On Some Classes of Three-dimensional Dynamic Problems of Plates and Shells and an Asymptotic Method of Solving Them ⋮ Some Two-dimensional Non-classical Models of Anisotropic Plates

Cites Work

• An elastic plate bending equation of second-order accuracy
• A Reissner-type plate theory for monoclinic material derived by extending the uniform-approximation technique by orthogonal tensor decompositions of \( n\)th-order gradients
• Two-dimensional linear model of elastic shell accounting for general anisotropy of material
• Generalized Timoshenko‐Reissner models for beams and plates, strongly heterogeneous in the thickness direction
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