Electrostriction tensor

The mechanical effects of an electric field on a material are usually expressed by means of the electrostriction tensor defined by ... 

Meng ZY, Cross LE (1985) Determination of the electrostriction tensor components in singlecrystal Cap2 from the uniaxial stress dependence of the dielectric permittivity. J AppI Phys 57 488... 

In a weak field no phase transition occurs and a cubic lattice is distorted according to the sign of the local dielectric anisotropy of the medium. The effect is described using the electrostriction tensor Yiknp [41]. which relates the electric-field components to the strain tensor ... 

Typical electrostrictive materials include such compounds as lead manganese niobate lead titanate (PMN PT) and lead lanthanium 2irconate titanate (PLZT). Electrostriction is a fourth-rank tensor property observed in both centric and acentric insulators (14,15). 

Electrostatics, effect on weighing, 26 243 Electrostatic self-assembly (ESA), of thin-films, 1 724-725 Electrostatic separators, 16 642 Electrostatic separation, 16 642-644 Electrostatic spray coating, 7 56-58, 74-75 Electrostatic stabilization, 10 119-121 of latex, 14 708-709 Electrosteric stabilization, 10 122 Electrostream (capillary drilling), 9 600 Electrostrictive coefficient tensor, 11 93 Electrostrictive devices, applications of, 11 103-104... 

The electrostriction coefficient is a fourth-rank tensor because it relates a strain tensor (second rank) to the various cross-products of the components of E or D in the. v, y and z directions. 

From tensor algebra, the tensor property relating two associated tensor quantities, of rank / and rank g, is of rank (/-b g). Hence, the physical property connecting /, and aj is the third-rank tensor known as the piezoelectric effect, and it contains 3 = 27 piezoelectric strain coefficients, dyk. The piezoelectric coefficients are products of electrostriction constants, the electric polarization, and components of the dielectric tensor. 

Here Oy are strain tensor components, qtj and % are electrostriction coefficients. 

Electrostriction refers to the elastic deformation of all dielectric materials upwn the application of an electric field. Unlike piezoelectricity, the electrostrictive strain is quadratic to the electric field and reversal of the field doesn t reverse the strain direction. The basic phenomenology of electrostriction in materials is discussed in detail in many texts (Lines and Glass 1977 Jona and Shirane 1962 Mason 1958 Mason 1950). For a dielectric material under isothermal, adiabatic and stress-free conditions, upon the application of an electric field E t, the strain tensor canbe written as ... 

In material physics which was historically dominated by the investigation of inorganic and crystalline materials, electrostriction (i.e., the quadratic electromechanical coupling effect in materials) is defined by the tensor equations (Newnham 2005 Newnham et al. 1997) ... 

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