Two-Dimensional Approximation of Thin Piezoelectric Membrane Shells Using Gamma Convergence

In this paper, we consider piezoelectric membrane shells of very small thickness subjected only to mechanical forces and we show that functions which minimize the energy associated with the three-dimensional models converge to the function which minimizes the energy of the two-dimensional model of m...

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Bibliographic Details
Published inNational Academy of Sciences, India. Proceedings. Section A. Physical Sciences Vol. 90; no. 4; pp. 629 - 635
Main Author Sabu, N.
Format Journal Article Conference Proceeding
LanguageEnglish
Published New Delhi Springer India 01.10.2020
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Convergence
Membranes
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Piezoelectricity
Quantum Physics
Research Article
Three dimensional models
Two dimensional models
Piezoelectricity
Membrane shells
Gamma convergence
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Summary:In this paper, we consider piezoelectric membrane shells of very small thickness subjected only to mechanical forces and we show that functions which minimize the energy associated with the three-dimensional models converge to the function which minimizes the energy of the two-dimensional model of membrane shells.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-019-00626-3