Zimmerman R L
Biophys J. 1976 Dec;16(12):1341-8. doi: 10.1016/S0006-3495(76)85778-5.
Isotropic material can be made to exhibit piezoelectric effects by the application of a constant electric field. For insulators, the piezoelectric strain constant is proportional to the applied electric field and for semiconductors, an additional out-of-phase component of piezoelectricity is proportional to the electric current density in the sample. The two induced coefficients are proportional to the strain-dependent dielectric constant (depsilon/dS + epsilon) and resistivity (drho/dS - rho), respectively. The latter is more important at frequencies such that rhoepsilonomega less than 1, often the case in biopolymers. Signals from induced piezoelectricity in nature may be larger than those from true piezoelectricity.
通过施加恒定电场,各向同性材料可呈现出压电效应。对于绝缘体,压电应变常数与施加的电场成正比;对于半导体,压电性的额外异相分量与样品中的电流密度成正比。这两个感应系数分别与应变相关的介电常数(dε/dS + ε)和电阻率(dρ/dS - ρ)成正比。在频率满足 ρεω < 1 的情况下,后者更为重要,生物聚合物中常常如此。自然界中由感应压电性产生的信号可能比真正的压电性产生的信号更大。