Journal ArticleDOI
Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited
Gülay Altay,M. Cengiz Dökmeci +1 more
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TLDR
In this paper, Cimento revisited some variational principles for the fundamental equations of a regular region of piezoelectric, thermopiez-olectric and hygrothermopiezoellectric materials in the elastic range.Abstract:
In this paper some variational principles are revisited for the fundamental equations of a regular region of piezoelectric, thermopiezoelectric, and hygrothermopiezoelectric (but non-stochastic, non-local, and non-relativistic) materials in the elastic range. Certain oversights, and especially, those involving the so-called Hu-Washizu variational principle of piezoelectricity that was first formulated in a paper (“Variational Principles in Piezoelectricity,” Lettere Al Nuovo Cimento, vol. 7, 449–454, 1973) are clarified within the “ISI-Web of Science” publications in the open literature. Similar variational principles of piezoelectricity are cited.read more
Citations
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Book ChapterDOI
Variational Principles in Mechanics
TL;DR: In this article, the authors define the principle of virtual work, which is a departure from other minimizing principles in that it incorporated stationarity and local stationarity in its formulation, and it is used to characterize static equilibrium through requiring that the work done by the external forces during a small displacement from equilibrium should vanish.
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Review: A review of active structural control: challenges for engineering informatics
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Journal ArticleDOI
Piezoelectricity An Introduction to the Theory and Applications of Electromechanical Phenomena in Crystals
TL;DR: This online pronouncement piezoelectricity an introduction to the theory and applications of electromechanical phenomena in crystals can be one of the options to choose the book as mentioned in this paper.
Journal ArticleDOI
The elastic dielectric.
TL;DR: Slepian used an operational "definition" of stress and concluded that the compensating mechanical forces which must be introduced operationally are not derivable from a tensor.
References
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Journal ArticleDOI
A coupled electromechanical analysis of a piezoelectric layer bonded to an elastic substrate: Part I, development of governing equations
TL;DR: In this article, the authors presented a method to analyze the 2D electromechanical fields of a piezoelectric layer bonded to an elastic substrate, which takes into account the fully coupled EMG behavior.
Journal ArticleDOI
Some comments on the higher order theories of piezoelectric, piezothermoelastic and thermopiezoelectric rods and shells
G. Aşkar Altay,M. Cengiz Dökmeci +1 more
TL;DR: In this article, the derivations of the higher-order theories for the dynamic analysis of electroelastic (i.e., piezoelectric, piezothermoelastic) structural elements of uniform cross-section (or uniform thickness) are discussed.
Journal ArticleDOI
An efficient coupled layerwise theory for static analysis of piezoelectric sandwich beams
TL;DR: In this paper, an efficient one-dimensional model is developed for the statics of piezoelectric sandwich beams, where the displacement field is expressed in terms of three primary displacement variables and the electric potential variables by satisfying the conditions of zero transverse shear stress at the top and bottom and its continuity at layer interfaces.
Journal ArticleDOI
Nonlinear zigzag theory for electrothermomechanical buckling of piezoelectric composite and sandwich plates
Santosh Kapuria,G.G.S. Achary +1 more
TL;DR: In this article, a coupled geometrically nonlinear efficient zigzag theory is presented for electrothermomechanical analysis of hybrid piezoelectric plates.
Journal ArticleDOI
Nonlinear single-frequency vibrations and dissipative heating of inelastic piezoelectric bodies
TL;DR: In this paper, a generalization of the results obtained at the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine in developing models of single-frequency vibrations and dissipative heating of inelastic piezoelectric solids and methods for solving the associated nonlinear boundary-value problems are considered.