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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About heat waves
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
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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Proceedings ArticleDOI
Nonlinear Electroelastlc Equations of Wave Propagation and Vibrations in Quartz Bars
TL;DR: In this article, the nonlinear electroelastic equations of wave propagation and vibrations in a quartz bar of uniform cross-section are presented. And the constraints are incorporated into this principle through the dislocation potentials and Lagrange undetermined multipliers, and hence a generalized variational principle is derived for the motions of nonlinear piezoelectric continuum.
Journal ArticleDOI
Thermo-viscoelastic analysis of high-frequency motions of thin plates
G. A. Altay,M. C. Dökmeci +1 more
TL;DR: In this article, a Hierarchical System of 2D-equations of thin plates is derived in invariant differnetial and variational forms for the analysis of high-frequency motions of thin plate.
Journal ArticleDOI
A note on a variational principle for crystal physics
TL;DR: In this paper, a variational principle for coupled piezoelectric heat conduction is derived and an extended variational function is presented that is suitable for finite element analysis, based on the bilinear convolution due to Gurtin.
Book ChapterDOI
Mechanics of Solids and Materials: Kinematics of Continuum
Robert J. Asaro,Vlado A. Lubarda +1 more
Journal ArticleDOI
Some basic principles for linear coupled dynamic thermopiezoelectricity
En Luo,Jun Shang Kuang +1 more
TL;DR: In this article, an integral relation in terms of convolutions is given, which can be considered as the generalized principle of virtual work in mechanics, based on this relation, it is possible not only to obtain the virtual work and the reciprocal theorem in linear coupled dynamic thermopiezoelectricity, but also to derive systematically the complementary functionals for eleven-field, nine-field and six-field simplified Gurtin-type variational principles.