Three-dimensional asymptotic approach to inhomogeneous and laminated piezoelectric plates

DOI10.1016/S0020-7683(99)00036-0zbMath0992.74024OpenAlexW2015548398MaRDI QIDQ1573222

Chee Wah Lim, Zhen-Qiang Cheng, Sritawat Kitipornchai

Publication date: 16 September 2002

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7683(99)00036-0

zbMATH Keywords

asymptotic expansionsinhomogeneous piezoelectric plateslaminated piezoelectric platesrectangular piezoelectric plate

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15)

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Asymptotic analysis of 3D thin anisotropic plates with a piezoelectric patch ⋮ An asymptotically exact theory of smart sandwich shells ⋮ Asymptotic analysis of 3-D thin piezoelectric rods ⋮ Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates ⋮ Three-dimensional analytical solution for a transversely isotropic functionally graded piezoelectric circular plate subject to a uniform electric potential difference ⋮ Representing the solutions of the equilibrium equations for functionally inhomogeneous transversely isotropic plates ⋮ Three-dimensional analysis of an antiparallel piezoelectric bimorph ⋮ An accurate modelling of piezoelectric multi-layer plates ⋮ An asymptotic theory for dynamic response of laminated piezoelectric shells ⋮ Asymptotic homogenization modeling of smart composite generally orthotropic grid-reinforced shells. II: Applications ⋮ Analytical solution of the equilibrium equations for nonthin electroelastic transversely isotropic plates polarized through the thickness

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