Pilot Study of Reliability Analysis of Damaged Piezoelectric Structure

Abstract:

According to the piezoelectric material damage theory and the fracture criterion based on damage theory, which has been established by Yang etc., reliability analysis is carried through about a damaged piezoelectric truss. Taken the mechanical damage extension force, electric damage extension force and cross-section area of bar element as stochastic variables, the expression of safety margins of bar element has been proposed. Based on those, the SFEM and PNET method are introduced to solve the reliability index of the structural system. The result indicates positive applied and negative applied electric field have great effect on the reliability of the system, which provides the basis to control the reliability of structural system. Finally, a calculation example is carried out under the conditions of positive applied electric field, negative applied electric field and no electric field. Meantime, the quantification results of the reliability index under three conditions are compared with each other.

• Periodical: Key Engineering Materials (Volumes 452-453)
• Pages: 873-876
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.452-453.873
• Online since: November 2010
• Authors: Dan Zhang, Xin Shui Lu
• Keywords: Damage Extension Force, Piezoelectric Structure, Reliability, Stochastic Finite Element

References

[1] Yang Xinhua, Chen Chuanyao, Hu Yuantai. A static damage constitutive model for piezoelectric matetials. The Mechanic of Electromagnetic Materials. Norwell: Kluwer Academic Publishers, 2003. 259~272.

[2] Yang Xinhua, Chen Chuanyao, Hu Yuantai. Analysis of damage near a conducting crack in a rack in a piezoelectric ceramic. Acta Mechanica Solida sinica, 2003, 16(2): 147~154.