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
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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.
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
Hemivariational inequality for a frictional contact problem inelasto-piezoelectricity
TL;DR: In this paper, a class of inequality problems for static frictional contact between a piezoelastic body and a foundation is studied, where the constitutive inequality law is assumed to be electrostatic and involves a nonlinear elasticity operator.
Journal ArticleDOI
Electrostatic interactions and the piezoelectric equations
TL;DR: In this article, the authors considered the case of a nonlinear interaction of the electric field with a deformable insulator, and they proposed the linear electroelastic equations for small dynamic fields, superposed on a static bias obtained from the nonlinear system.
Book ChapterDOI
New Variational-Lagrangian Irreversible Thermodynamics with Application to Viscous Flow, Reaction–Diffusion, and Solid Mechanics
TL;DR: In this paper, a variational-Lagrangian irreversible thermodynamics with application to viscous flow, reaction-diffusion, and solid mechanics is presented, which is based on a principle of virtual dissipation.
Journal ArticleDOI
Symplectic model for piezoelectric wedges and its application in analysis of electroelastic singularities
Jian-Shan Wang,Qing-Hua Qin +1 more
TL;DR: In this paper, the authors derived the order of singularity near the apex of a multi-dissimilar piezoelectric wedge under antiplane deformation using a modified Hellinger-Reissner generalized variational principle or a differential equation approach.
Journal ArticleDOI
An Extension of Reissner Mixed Variational Theorem to Piezoelectric Laminates
Michele D'Ottavio,Bernd Kröplin +1 more
TL;DR: In this article, a partially mixed formulation for multilayered structures embedding piezoelectric layers is presented, where the constitutive equations for the coupled linear electromechanical behavior associated to the partially mixed variational statement are derived from a modified internal energy function by means of partial Legendre transformations.