Homogénéisation périodique de piézocomposites 03 : influence de la distribution

Poizat, Christophe; Sester, M.

doi:10.3166/rcma.11.65-77

Cited by 4 publications

(2 citation statements)

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“…The determination of the effective properties in piezo-composites with arbitrary connectivity is often carried out by means of the FEM [63,[113][114][115][116][117][118]. This method employs numerical modelling techniques that take into account boundary conditions for electric and mechanical fields in a composite system.…”

Section: Methods For Evaluation Of Effective Parametersmentioning

confidence: 99%

“…Interesting examples of the numerical realisation of the FEM for evaluating the effective electromechanical constants are given in refs. [116,117] (0-3 connectivity), [63,68,113,118] (1-3 connectivity) and [114,115] (3-0, 3-3 and mixed connectivity patterns). Trends in the study of the piezo-composites and other piezo-active materials show that the FEM and related finite-element software becomes increasingly more widespread in mechanical-engineering, smart-materials and piezotechnical applications (transducers, sensors, actuators, hydrophones, acoustic antennae, etc.).…”

Section: Methods For Evaluation Of Effective Parametersmentioning

confidence: 99%

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Effective Electromechanical Properties in Piezo-composites

Engineering Materials and Processes

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The appearance of an electric polarisation in quartz single crystals that were subjected to a mechanical load was first reported by brothers P. Curie and J. Curie in experimental work in 1880 [1]. The effect that links a mechanical action (stress or strain) with an electric response (electric field, displacement or polarisation) is called the piezoelectric effect or, more exactly, the direct piezoelectric effect. At a later date, it was experimentally established that the converse piezoelectric effect is also observed in acentric single crystals in that an external electric field generates a mechanical response, i.e., a stress or strain of the sample [2, 3], similar to the electrostriction of dielectrics [3,4].It is generally realised that the piezoelectric effect reflects a linear relationship between electric and mechanical variables and originates from the displacement of ions of an acentric single crystal under an applied electrical field [1][2][3][4]. This relationship enables a change in the sign of the effect by switching the external electric field, unlike electrostriction that always exhibits a quadratic effect [3, 4] and does not undergo switching. Despite the linear character, the piezoelectric response of a single crystal is often intricate owing to various interconnections between the piezoelectric and other properties such as the elastic, dielectric and thermal properties [3].A general consideration of the piezoelectric effect in single crystals is undertaken using thermodynamic functions, such as Helmholtz free energy, Gibbs free energy, elastic Gibbs energy, and electric Gibbs energy [2][3][4]. Each of these functions has at least three arguments that characterise the mechanical, electric and thermal states of the single crystal. The first argument can be either mechanical stress kl or mechanical strain jr , the second argument can be electric field E or electric displacement (electric flux density) D, and the third argument can be temperature T or entropy S. In addition, it is possible to develop additional arguments in terms of magnetic field H or magnetic induction B [5]. Based on knowledge of the thermodynamic functions and relations between the arguments of

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