Journal ArticleDOI
Variational Principles for Piezoelectric, Thermopiezoelectric, and Hygrothermopiezoelectric Continua Revisited
Gülay Altay,M. Cengiz Dökmeci +1 more
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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Journal ArticleDOI
On the fundamental equations of electromagnetoelastic media in variational form with an application to shell/laminae equations
Gülay Altay,M. Cengiz Dökmeci +1 more
TL;DR: In this article, the fundamental equations of elasticity with extensions to electromagnetic effects are expressed in differential form for a regular region of materials, and the uniqueness of solutions is examined for the high frequency waves and vibrations of a functionally graded shell.
Journal ArticleDOI
Nonlinear coupling between thickness- shear and thickness-stretch modes in a rotated y-cut quartz resonator
TL;DR: In this article, it was shown that thickness-stretch vibration can be induced in a plate thickness-shear mode resonator of rotated Y-cut quartz when the deformation is no longer infinitesimal.
Journal ArticleDOI
Multi-physics field models of photostrictive unimorphs and heterogeneous bimorphs subjected to light illumination and mechanical loading
Quantian Luo,Liyong Tong +1 more
TL;DR: In this paper, photo-induced electrical, thermal and mechanical fields in PLZT ceramics are studied first, and then one-dimensional opto-thermo-piezoelectric equations for 0-3 polarized PLZTs and other photostrictive materials are discussed.
Journal ArticleDOI
Asymptotic multiphysics modeling of composite slender structures
TL;DR: An efficient high-fidelity beam model for predicting multiphysics behavior of smart slender structures is developed using the variational asymptotic method in this paper, where the original three-dimensional variational statement governing the coupled electromagneto-mechanical behavior is asymmptotically split into a multiphysical cross-sectional analysis and a multihysics beam analysis, exploiting the inherent small parameter characterizing the slenderness of the structure.
Journal ArticleDOI
Electrically forced thickness-shear vibrations of quartz plate with nonlinear coupling to extension
TL;DR: In this paper, it was shown that thickness-shear is nonlinearly coupled to extension due to the well-known Poynting effect in nonlinear elasticity.
References
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Book
Electrodynamics of continuous media
TL;DR: In this article, the propagation of electromagnetic waves and X-ray diffraction of X rays in crystals are discussed. But they do not consider the effects of superconductivity on superconducting conductors.
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Physical properties of crystals
TL;DR: In this paper, the physical properties of crystals systematically in tensor notation are presented, presenting tensor properties in terms of their common mathematical basis and the thermodynamic relations between them.
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Acoustic Fields and Waves in Solids
TL;DR: In this article, the authors apply the material developed in the Volume One to various boundary value problems (reflection and refraction at plane surfaces, composite media, waveguides and resonators).
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Anelastic and Dielectric Effects in Polymeric Solids
TL;DR: Menard et al. as mentioned in this paper discuss the use of dynamic mechanical analysis (DMA) as a tool for thermal analysis, rheology, and materials science in the analytical laboratory.