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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The elastic dielectric.
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References
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Journal ArticleDOI
Extension of the Euler-Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach
TL;DR: In this paper, a coupled Euler-Bernoulli model of laminated piezoelectric beams is proposed, which is characterized by accounting for the influence of 3D distribution of mechanical stresses and strains through corrected electromechanical constitutive equations.
Journal ArticleDOI
Conservation laws and the material momentum tensor for the elastic dielectric
TL;DR: In this article, a material force in the form of a path-independent integral for the elastic dielectric is derived employing Toupin's [1] formulations, where the quantity playing the role of the physical stress tensor in this formulation is the material momentum tensor.
Book
Smart Material Systems and MEMS: Design and Development Methodologies
TL;DR: In this article, the authors present an overview of smart materials and their applications in the context of smart sensors and actuators, as well as some design principles and applications of smart devices.