Modelling dynamics of piezoelectric solids in the two-dimensional case

DOI10.1016/S0307-904X(99)00032-3zbMath0993.74080OpenAlexW2019977089MaRDI QIDQ1590432

K. N. Melnik, Roderick V. Nicholas Melnik

Publication date: 29 September 2002

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

Full work available at URL: https://doi.org/10.1016/s0307-904x(99)00032-3

zbMATH Keywords

finite difference schemeaccuracyerror estimateelectroelasticityhollow piezoceramic cylindercorner pointcoupled dynamic problemsthin finite dimension piezoceramic solids

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in solid mechanics (74S20)

Cites Work

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• Generalised solutions, discrete models and energy estimates for a 2D problem of coupled field theory.
• A variational boundary element formulation for piezoelectricity
• On the linear piezoelectricity of composite materials
• A note on the class of weakly coupled problems of non-stationary piezoelectricity
• The Stability Condition and Energy Estimate for Nonstationary Problems of Coupled Electroelasticity

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