Stress-strain analysis around piezoelectric material bonded to the surface of a semi-infinite plate and fundamental experiment for fracture control

Abstract

Recently there are some attempts to use piezoelectric material bonded to the surface of structure component for vibrational control, fracture control and strain monitoring. This paper presents stress-strain analysis around piezoelectric material bonded to the surface of a semi-infinite plate by integral equation method. In the analysis, general equations of the theory of elasticity and piezoelectric material are shown, the contact stress distributions of interface are replaced by continuous distributions of concentrated forces. The singular integral equation is obtained from boundary conditions of the interface. By solving simultaneous equation derived from the integral equations, stress and strain component are formulated. And several analysis results are shown by graphical representation. From analysis results, the effects of stiffener, piezoelectricity and material constants are discussed. And verification experiments are conducted, the error between analysis result and experimental result is within about 20 percent. The verification of analysis results is confirmed by experiments. Furthermore, with a view to development of fracture control method by using piezoelectric materials, we constructed strain-controlled experiment system by using analysis theory. The effects of strain release are shown.

Keywords

• piezoelectric material
• strain-stress analysis
• integral equation
• complex potential
• semi-infinite plate
• stiffener