Elasticity, piezoelectricity and crystal lattice dynamics

Acoustical activity of crystals: a comparative study of three descriptions

“…The above considerations show that the results based on the phenomenological theory of acoustical activity would be identical to those emerging from a theory invoking the fundamental equations of elasticity given by Toupin (1962). To see the emergence of the rotation-gradient theory one must use the variables e{klm } defined as (Mindlin, 1972) e~kl,~=½ (ekt,~+el,,,k+emkl) (3.13) and the rotation gradient ek [Im] (3.16) and in the second term the part a Cijkt,,, which is antisymmetric with respect to the interchange of l with m will contribute A 1 C uktm = ~ ( Ciikl,,, --Cok~t). (3.18)…”

“…The aim of the present paper is to show that both viewpoints can be reconciled on the basis of the more general strain-gradient theory of acoustical activity where one employs the strain and its first gradient to describe the elastic deformation (Toupin, 1962;Mindlin, 1972). We also obtain a rationale for the maximum number of independent non-vanishing components of the acoustical activity tensors.…”

“…The term in the energy density giving rise to acoustical activity may be expressed in the form (Mindlin, 1972) W = e o Coktm ektm.…”

Analysis of electro-visco-elastic contact problem with friction

“…These include quartz, Rochelle salt, lead titanate zirconate ceramics, barium titanate, and polyvinylidene fluoride (a polymer film), and are used extensively as switches and actuators in many engineering systems, in radioelectronics, electroacoustics and in measuring equipment. We find general models for electroelastic materials in [6,7] and more recently, in [1,4,8]. A static and a slip-dependent frictional contact problems for electro-elastic materials were studied in [2,5] and in [9], respectively.…”

A Quasistatic Electro-Viscoelastic Contact Problem with Adhesion

“…Piezoelectric materials for which the mechanical properties are elastic are also called electro-elastic materials, and those for which the mechanical properties are viscoelastic are also called electro-viscoelastic materials. Different models have been developed to describe the interaction between the electrical and mechanical fields( see, e.g., [2,14,[16][17][18][19][29][30][31] and the references therein). General models for elastic materials with piezoelectric effect, called electro-elastic materials, can be found in [2,4,14].…”