TY - GEN
T1 - Loss in coupling due to crack in piezoelectric wafer based sensors and actuators
AU - Zhou, Xu
AU - Chattopadhyay, Aditi
PY - 2006
Y1 - 2006
N2 - Two different types of hysteresis are considered for loss mechanism of piezoelectric materials: one addressing the energy required to align the dipole orientation with the direction of electric field through 180° and 90° domain switching, and the other addressing the energy required to overcome the cracks in piezoelectric materials. By modeling piezoelectric materials as tetragonal crystallites with dipole moments, evolution of polarization due to applied electric filed is derived. Furthermore, dielectric, mechanical, and electromechanical losses due to the inclusions of cracks in piezoelectric solids are investigated. The influence of the existence of a crack is described through the characterization of the perturbation to stress and strain distribution. The strain energy release rates are used to determine the energy dissipation due to the crack. Correspondence principle is then applied to determine loss factors such that the constitutive laws governing the energy loss in dielectric, mechanical, and piezoelectric domains can be quantified. Therefore, the complex electromechanical coupling relations can be expressed by using a phase lag, which indicates the property degradation of piezoelectric materials.
AB - Two different types of hysteresis are considered for loss mechanism of piezoelectric materials: one addressing the energy required to align the dipole orientation with the direction of electric field through 180° and 90° domain switching, and the other addressing the energy required to overcome the cracks in piezoelectric materials. By modeling piezoelectric materials as tetragonal crystallites with dipole moments, evolution of polarization due to applied electric filed is derived. Furthermore, dielectric, mechanical, and electromechanical losses due to the inclusions of cracks in piezoelectric solids are investigated. The influence of the existence of a crack is described through the characterization of the perturbation to stress and strain distribution. The strain energy release rates are used to determine the energy dissipation due to the crack. Correspondence principle is then applied to determine loss factors such that the constitutive laws governing the energy loss in dielectric, mechanical, and piezoelectric domains can be quantified. Therefore, the complex electromechanical coupling relations can be expressed by using a phase lag, which indicates the property degradation of piezoelectric materials.
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U2 - 10.2514/6.2006-1973
DO - 10.2514/6.2006-1973
M3 - Conference contribution
AN - SCOPUS:34147197051
SN - 1563478080
SN - 9781563478086
T3 - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
SP - 4619
EP - 4630
BT - Collection of Technical Papers - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
PB - American Institute of Aeronautics and Astronautics Inc.
T2 - 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Y2 - 1 May 2006 through 4 May 2006
ER -