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
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The elastic dielectric.
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References
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A Dynamic Analysis of Piezoelectric Strained Elements.
TL;DR: In this paper, the fundamental equations of piezoelectric media are expressed in variational form as the Euler-Lagrange equations of certain integral and differential types of variational principles.
Journal ArticleDOI
Unconstrained variational statements for initial and boundary-value problems via the Principle of Total Virtual Action
TL;DR: Based on the principle of total virtual action, a new procedure for constructing unconstrained variational statements for initial-boundary-value problems with or without discontinuity in the time domain was developed in this article.
Journal ArticleDOI
Restudy of coupled field theories for micropolar continua (ii)-thermopiezoelectricity and magnetothermoelasticity
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.
Journal ArticleDOI
An incremental Lagrangian formulation to the analysis of piezoelectric bodies subjected to geometric non‐linearities
TL;DR: In this paper, an incremental formulation to model geometric nonlinearities in piezoelectric solids is presented, where Lagrangian and Eulerian measures for the electric field and the electric displacement are discussed together with traditional mechanical measures.
Journal ArticleDOI
High-frequency equations for non-linear vibrations of thermopiezoelectric shells
G. Aşkar Altay,M. Cengiz Dökmeci +1 more
TL;DR: In this article, a system of 2D shear deformable equations is developed to analyze the non-linear vibrations of thermopiezoelectricity with a second sound effect.