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.
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
Finite element formulation of general electrothermoelasticity problems
J. T. Oden,B. E. Kelley +1 more
TL;DR: In this article, the development of consistent discrete models, via the concept of finite elements, of linear and non-linear electrothermomechanical behaviour of continuous bodies is concerned.
Journal ArticleDOI
Generalized variational principles for thermopiezoelectricity
TL;DR: In this paper, a family of variational principles (non Gurtin-type and not involving convolutions) for thermopiezoelectricity is deduced directly from the field equations and boundary/initial conditions.
Journal ArticleDOI
Certain Hygrothermopiezoelectric Multi-Field Variational Principles for Smart Elastic Laminae
Gülay Altay,M. Cengiz Dökmeci +1 more
TL;DR: In this article, a variational principle for the motion and deformation of a regular region of hygrothermopiezoelectric materials in the elastic range was derived under a quasi-static approximation of the electric field.
Journal ArticleDOI
Shell theory for vibrations of piezoceramics under a bias
TL;DR: In this article, a consistent derivation of the shell theory in invariant form for the dynamic fields superimposed on a static bias of piezoceramics is discussed.
Journal ArticleDOI
FEM modeling of adaptive composite structures using a reduced higher-order plate theory via penalty functions
Hisao Fukunaga,Ning Hu,G. X. Ren +2 more
TL;DR: In this paper, a finite element model for analyzing composite laminates containing the piezoelectrics was presented, which can satisfy the free conditions of transverse shear strains on the top and bottom surfaces of plates, and two artificial variables in the displacement field have been introduced to avoid the higher-order derivatives from the higher order plate theory.