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.
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Review: A review of active structural control: challenges for engineering informatics
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Journal ArticleDOI
Piezoelectricity An Introduction to the Theory and Applications of Electromechanical Phenomena in Crystals
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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
Natural Boundary and Initial Conditions from a Modification of Hamilton's Principle
TL;DR: In this article, a procedure is introduced for transforming Hamilton's principle so that the initial conditions and all conditions at boundaries and internal surfaces of discontinuity arise naturally and no constraint conditions are required.
Journal ArticleDOI
On the accurate description of piezoelectric resonators subject to biasing deformations
TL;DR: In this article, the linear electroelastic equations for small dynamic fields superposed on a static bias obtained from the general rotationally invariant nonlinear description are presented, and it is shown that the linear equations referred to the known reference coordinates result in a far more accurate description of the behavior of the devices subject to different biases, including homogeneous thermal.
Proceedings ArticleDOI
Hybrid finite element model for phase transitions in nonlinear electromechanically coupled material
Kamyar Ghandi,Nesbitt W. Hagood +1 more
TL;DR: In this article, a finite element approach for modeling phase transitions in electro-mechanically coupled material is presented, which is applicable to modeling a broad range of material behavior, including repolarizations in ferroelectrics (PZTs) as well as ferroelectric-antiferroelectric phase transition in electroceramics such as lead lanthanum zirconate stannate titanate.
Smart Structures and Materials
N. K. Moody,W. W. Gerbcrich +1 more
TL;DR: In this paper, the authors describe how film optic sciisors are used for meiisuriiig pliysicd, thcrinnl, chcrnical, nnd 1hcIieiiiic;il quantities.
Journal ArticleDOI
Fundamental variational equations of discontinuous thermopiezoelectric fields
G. Aşkar Altay,M. Cengiz Dökmeci +1 more
TL;DR: In this article, the fundamental equations of a thermopiezoelectric medium are expressed as the Euler-Lagrange equations of certain variational principles, deduced from a general principle of continuum physics by modifying it through an involutory (Legendre's or Friedrichs's) transformation.