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
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Review: A review of active structural control: challenges for engineering informatics
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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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Book
Electronic and Optical Properties of Conjugated Polymers
TL;DR: In this article, the authors introduce the theory of conjugated polymers and derive the Effective Particle Schroedinger Equation (EPEPE) from the Dirac Bra-ket operator representation of Hamiltonians.
Journal ArticleDOI
A review and critique of theories for piezoelectric laminates
TL;DR: A review and critique of different laminate theories used for the modeling and analysis of laminated composite beams or plate structures is presented in this paper, where a 3D complete field solution for active laminates based on a modal, Fourier series solution approach is used to compute all the throughthickness electromechanical fields near the dominant resonance frequency of a beam plate with two piezoelectric (sensor and actuator) and one structural layers.
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
On a General Method in Dynamics; By Which the Study of the Motions of All Free Systems of Attracting or Repelling Points is Reduced to the Search and Differentiation of One Central Relation, or Characteristic Function
TL;DR: In this article, a method for the deductive study of the motions of attracting or repelling systems is proposed, which can be seen as an attempt to assist in carrying forward so high an inquiry.