Linear fracture mechanics for isothermal and adiabatic cracking in piezoelectric materials

Tong-Yi Zhang

doi:10.1117/12.240813

31 May 1996 Linear fracture mechanics for isothermal and adiabatic cracking in piezoelectric materials

Tong-Yi Zhang

Proceedings Volume 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures; (1996) https://doi.org/10.1117/12.240813
Event: 1996 Symposium on Smart Structures and Materials, 1996, San Diego, CA, United States

Abstract

The isothermal full Gibbs function which is negative definite and the adiabatic internal energy which is positive definite are used to develop a linear fracture theory for isothermal and adiabatic cracking in a piezoelectric material, respectively. Both the full Gibbs function release rate and the internal energy release rate for crack propagation are evaluated and revealed to be positive functions of crack lengths and remote loads, even under pure electric loads only. When the electric permittivity inside the crack is treated as zero, each of the full Gibbs function release rate and the internal energy release rate has a compact form in terms of the mode II, I, III stress and electric displacement intensity factors.

Citation Download Citation

Tong-Yi Zhang "Linear fracture mechanics for isothermal and adiabatic cracking in piezoelectric materials", Proc. SPIE 2715, Smart Structures and Materials 1996: Mathematics and Control in Smart Structures, (31 May 1996); https://doi.org/10.1117/12.240813

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