Modal analysis of piezoelectric bodies with voids. I. Mathematical approaches

DOI10.1016/j.apm.2009.03.028zbMath1185.74018OpenAlexW2056636213MaRDI QIDQ967778

Andrey V. Nasedkin, Gerardo Iovane

Publication date: 2 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.apm.2009.03.028

zbMATH Keywords

eigenvalueresonance frequencyporous materialvoidspiezoelectricitycowin-nunziato theory

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15)

Related Items (5)

Analytical and numerical studies on penalized micro-dilatation (PMD) theory: macro-micro link concept ⋮ On deformation of porous plates ⋮ Porous-micro-dilatation theory for random crystallization: Monte Carlo simulation for delayed ettringite formation ⋮ Modal analysis of piezoelectric bodies with voids. II. Finite element simulation ⋮ Second-order asymptotic analysis and computations of axially and spherically symmetric piezoelectric problems for composite structures

Cites Work

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• Linear elastic materials with voids
• A nonlinear theory of elastic materials with voids
• Some results in the dynamical theory of porous elastic bodies
• Some properties of the natural frequencies of electroelastic bodies of bounded dimensions
• Optimal design of periodic piezocomposites
• Some results on thermoelasticity for porous piezoelectric materials
• Some theorems about spectrum and finite element approach for eigenvalue problems for elastic bodies with voids
• Reflection and transmission of transverse waves at a plane interface between two different porous elastic solid half-spaces

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