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Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited

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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.

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About heat waves

M Barrett
TL;DR: In this article, the Belgian Pilots' Guild raised the question of what effect exposure to radar radiation might have on the human body and reported that in 25 years of experience with radar, there were no known incidents of pilots being affected by radar waves.
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.
Journal ArticleDOI

Review: A review of active structural control: challenges for engineering informatics

TL;DR: An active structure is an engineering structure containing sensors and actuators that, when active, modify the response of the structure to its environment as discussed by the authors, and it is a type of structural control that can be used in extreme environments (space, undersea, polar), contaminated contexts (nuclear, chemical, biological).
Journal ArticleDOI

Piezoelectricity An Introduction to the Theory and Applications of Electromechanical Phenomena in Crystals

P. Vigoureux
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

Piezothermoelasticity and Precision Control of Piezoelectric Systems: Theory and Finite Element Analysis

TL;DR: In this paper, a 3D piezothermoelastic thin hexahedron finite element with three internal degrees of freedom is formulated using a variational formulation which includes thermal, electric, and mechanical energies.
Journal ArticleDOI

Recent developments in smart structures with aeronautical applications

TL;DR: In this article, the results of a representative sampling of recent papers dealing with smart materials and structures as actuators in aeronautical systems are summarized and the status of some of the most promising developments is noted and the remaining problems are touched on.
Journal ArticleDOI

Higher-Order Theories of Piezoelectric Plates and Applications

TL;DR: A review article summarizes the development of higher order theories for the dynamic analysis of piezoelectric plates, and describes their applications, especially for crystal resonators as mentioned in this paper, where the displacement components and electric potential are assumed to vary through the plate thickness.
Book

The Mechanics of Piezoelectric Structures

TL;DR: In this paper, three dimensional theories of piezoelectric plates are presented. But they do not consider nonlinear effects in Electroelastic Plates and Parallelepeds.
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