Related Experiment Video
Updated: Jun 27, 2026

Characterization of Full Set Material Constants and Their Temperature Dependence for Piezoelectric Materials Using Resonant Ultrasound Spectroscopy
Published on: April 27, 2016
Complex material coefficients and energy ratios for lossy piezoelectric materials
1Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA. ssherrit@jpl.nasa.gov
Abstract:
This correspondence reviews complex material coefficients of piezoelectric materials and their influence on the energy ratios in coupled systems. In lossless systems, it is shown for the length extensional (LE 33) mode in a C(infinity) material that there are at least 4 energy ratios that will produce the same coupling value. In addition, in the (LE 33) mode there are at least 2 different experimental conditions to define an energy ratio that produces the same coupling. With the introduction of loss, these 2 experiments and the 4 energy ratios diverge and no longer produce the same coupling. It is shown that the instantaneous ratio of coupled to input energy or the time average of this ratio, if a numerical value is desired, is the appropriate energy ratio in a dissipating system.
Related Concept Videos
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Poisson's Ratio
Bending of Members Made of Several Materials
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Elastic Strain Energy for Shearing Stresses
Gauss's Law in Dielectrics
Elastic Strain Energy for Normal Stresses
If...
