Download Electromagnetoelasticity: Piezoelectrics and Electrically by V. Z. Parton PDF

By V. Z. Parton

This application-oriented publication includes a unified and systematic presentation of the rules
underlying the mechanics of piezoelectric Inaterials and the equipment on hand for calculating
piezoelements utilized in radio and desktop expertise, ultrasonics and defectoscopy. It presents
a distinctive account of advances in new instructions during this box, equivalent to fracture mechanics, and the
theory of plates and shells. It can pay detailed consciousness all through to polarized ceramic, a cloth
that is beconling more and more very important for its acoustoelectric purposes. A priceless addition
to the libraries of mechanical engineers, experts in actual acoustics, ultrasonic know-how,
electronics and radio engineering, in addition to of complicated scholars of the mechanics of constant

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Extra resources for Electromagnetoelasticity: Piezoelectrics and Electrically Conductive Solids

Sample text

Z. Parton et al. 10 integrated. ::lS. 33) where the last equation determines temperature changes due to strains and electric displacement. 32). 34) with stresses aii• electrical displacements D; and entropy Sas dependent variables. 36) ( ~~e) E,T deij + ( ;~e) m IJ dEm + ( E,T so that and ( aa-· ) aE: •. 37) ( aom) --aT" E,E _ ( as ) aEm •. lEk '· T oT ,,E dS = ( ::. lDm) aEK •. 43) E,E are the temperature stress coefficients. Z. Parton et al. 12 where pis the mass density. 37). 48) 0 where s~icT are the isothermal elastic compliances, drii are the piezoelectric moduli, Eij' T the dielectric permittivities, P; the pyroelectric coefficients, cu,E the specific heat at constant stress and electric field, and the coefficients of thermal expansion.

We neglect heat exchange and take Eii and Di as independent variables. + (cf. 29)) we introduce the following notation: c~kI - ordinary elastic constants, = - piezoelectric constants, - dielectric impermittivities, {3~k = - nonlinear elastic constants (six-rank tensor), cPUoD ) - non1mear . l . Z. Parton et al. 16 I ( {3~ki = 2 ()3U CID m aD k CID-I ) 0 - electrooptical coefficients (third-rank tensor). In this notation, eqs. 4) showing that the effect of second-order terms is to change the elastic and piezoelectric constants, and dielectric impermittivities of a piezoelectric medium.

26 relations are no longer linear because of the partial polarization and irreversible domain reorientation processes. Chen and colleagues [18, 19, 20) developed a phenomenological description of the dynamic response of a piezoceramic to an external electric field. Analyzing domain reorientation processes and the dynamics of dipole moments in each domain, they were able to obtain onedimensional ferroelectric constitutive equations. The most elaborate, three-dimensional, treatment along these lines was carried out by Chen [18).

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