Journal ArticleDOI
Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited
Gülay Altay,M. Cengiz Dökmeci +1 more
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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
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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.
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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Journal ArticleDOI
Comments on the articles “Hyperbolic thermoelasticity: A review of recent literature” (Chandrasekharaiah DS, 1998, Appl Mech Rev 51(12), 705–729) and “Thermoelasticity with second sound: A review” (Chandrasekharaiah DS, 1986, Appl Mech Rev 39(3), 355–376)
TL;DR: In this article, a review of contributions to the theory of thermoelasticity with thermal relaxation and the temperature-rate dependent thermodynamic properties is presented, and a glance is made at the new theory which includes the so-called dual-phase-lag effects.
Proceedings ArticleDOI
Vibrations of Piezoelectric Discs Under Initial Stresses
TL;DR: In this paper, the approximate governability of equat ions are deduced for a system that can handle as many equations as deemed necessary by a p roper.
Restudy of coupled field theories for micropolar continua (ii)-thermopiezoelectricity and magnetothermoelasticity
Dai,Tian-min(戴天民) +1 more
TL;DR: In this paper, the thermopiezoelectricity and magnetoelasticity for micropolar continua have been restudied and the reason why they were restricted to linear cases is analyzed.
On variational principles of a piezoelectric body
TL;DR: In this article, the consonance of state variables of a piezoelectric body is explored and four variational principles of a PBE are systematically proposed, and the Lagrangian function of each of these principles is the difference between a corresponding thermodynamic function and the kinetic energy.
Journal ArticleDOI
Bimaterial interface hybrid element for piezoelectric laminated analysis
TL;DR: In this paper, a mixed variational principle is suggested for electromechanical analysis, in which the displacements, the transverse stresses and the electric potential are the primary variables, and a three-dimensional hybrid element approach is built on the principle.