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Journal ArticleDOI

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

A Thermopiezoelectric Mixed Variational Theorem for smart multilayered composites

TL;DR: In this article, the transverse thermal field-temperature increment relation is added to the PMVT via a Lagrange multiplier, which can be used for thermopiezoelectric multilayered smart composites.
Journal ArticleDOI

A Piezoelectric Mixed Variational Theorem for Smart Multilayered Composites

TL;DR: In this paper, the transverse electric field potential relation was added to the Reissner mixed variational theorem (RMVT) for piezoelectric media, by adding a Lagrange multiplier.
Journal ArticleDOI

Variational Principles Developed for and Applied to Analysis of Stochastic Beams

TL;DR: In this paper, the mean and covariance functions of the displacement for statically determinate beams with spatially varying stochastic stiffness are derived and the corresponding variational principles for the mean-and covariance-of the displacement are established.
Journal ArticleDOI

A new two-dimensional model for electro-mechanical response of thick laminated piezoelectric actuator

TL;DR: In this paper, the authors investigated the electro-mechanical behavior of a thick, laminated actuator with piezoelectric and isotropic lamina under externally applied electric loading using a new two-dimensional computational model.
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