Investigation of the M-integral in crack-damaged piezoelectric ceramics
The physical interpretation of the M-integral is investigated in the analysis of crack-damaged piezoelectric problems. The relation between the M-integral and the change of the total electric enthalpy (CTEE), i.e., M = 2CTEE, is derived with a theoretical derivation procedure for two-dimensional piezoelectric problems. It is shown that the M-integral may provide a more natural description of electric enthalpy release due to the formation of the pre-existing microcracks associated with the damaged body, rather than the description of the total potential energy release rate as interpreted for conventional brittle solids. For crack-damaged piezoelectric ceramics, numerical calculation of the M-integral is discussed. Based on the pseudo-traction electric displacement method, M = 2CTEE has also been proved by the numerical results.
Key wordsM-integral crack piezoelectric ceramics electric enthalpy damage
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- Wang, D.F. and Chen, Y.H., M-integral analysis for a two dimensional metal/ceramic bimaterial solid with extending subinterface microcracks, Archive of Applied Mechanics, Vol.72, 2002, 588–598.Google Scholar
- Wang, D.F., Chen, Y.H. and Fukui, T., Conservation laws in finite microcracking brittle solids, Acta Mechanica Solida Sinica, Vol.18, No.3, 2005, 189–199.Google Scholar
- Wang, D.F., Chen, Y.H. and Liu, C.S., Further investigation of the J2-integral in bimaterial solids, Acta Mechanica Solida Sinica, Vol.16, No.2, 2003, 179–188.Google Scholar