An Introduction to the Phenomenological Theory of by J. Grindlay PDF

By J. Grindlay

ISBN-10: 0080063624

ISBN-13: 9780080063621

''In this monograph the writer describes the root and derivation of the macroscopic or phenomenological conception of the elastic, dielectric and thermal houses of crystals as utilized within the box of ferroelectricity. lots of the effects and concepts defined are scattered throughout the literature of this topic and this ebook offers them including their actual heritage in a single reference. The dialogue is specific to the speculation required to explain the homes of homogeneous specimens topic to low frequency fields.'' acquired it?

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Example text

The self-field of the dielectric is uniform within the ellipsoid. In this case the electric field is given by the expression Et = ¿ i - ^ ' - ( / = 1,2,3). 5 T h e L i n e a r E l a s t i c Dielectric^ 2 . 5 . 1 ASSUMPTIONS The standard theory of the linear time-dependent behaviour of a homogeneous dielectric is based on four main assumptions which we list below. These assumptions, together with the conservation laws for linear momentum, angular momentum and energy, yield the field equations, boundary conditions and equations of state characteristic of this theory.

This gives a total of forty-five independent coefficients appearing in the hnear equations of state. F o r a given crystal this number may be reduced by the demands of material symmetry.! Dielectrics for which there is at least one non-vanishing coefficient h¡^ are referred to as piezoelectric. That is to say, in piezoelectric materials there is linear coupling between the fields describing the mechanical behaviour and the fields describing the electrical behaviour. 6). 7. ßS,Sß-Y^h,,S,Di + iY^ßfjDiDj.

11) A+V where Ρ is the polarization field in F . The second term in this expression represents a part of the work which does not depend on the nature or properties of the dielectric. We note that EQS' ^b¿' = b 6' · ¿ ' j . The quantity in brackets is referred to as the free space energy density of the electrostatic field. e. Ρ = constant throughout the body), the self-field within the ellipsoid is uniform. Consider the case of an ellipsoid with uniform polarization P. The potential of the self-field C(x-x')dv' 4πεο can then be written = - P .

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An Introduction to the Phenomenological Theory of Ferroelectricity by J. Grindlay

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