Hierarchical modeling of piezoelectric plates

DOI10.1016/j.apm.2011.09.092zbMath1252.74039OpenAlexW2090159927MaRDI QIDQ693466

Alexandre L. Madureira

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.09.092

zbMATH Keywords

hierarchical modelingasymptotic consistencypiezoelectric plate

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Plates (74K20) Electromagnetic effects in solid mechanics (74F15)

Cites Work

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• HIERARCHICAL MODELING BASED ON MIXED PRINCIPLES: ASYMPTOTIC ERROR ESTIMATES
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• Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem
• Existence, Uniqueness and Approximation for Generalized Saddle Point Problems
• Mixed and Hybrid Finite Element Methods
• Asymptotic consistency of the polynomial approximation in the linearized plate theory
• Asymptotic Analysis of the Boundary Layer for the Reissner–Mindlin Plate Model
• An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
• Evaluation of higher-order theories of piezoelectric plates in bending and in stretching

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