Modeling of fracture in ferroelectric ceramics

Chad M. Landis; Robert M. McMeeking

doi:10.1117/12.388202

14 June 2000 Modeling of fracture in ferroelectric ceramics

Chad M. Landis, Robert M. McMeeking

Author Affiliations +

Proceedings Volume 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics; (2000) https://doi.org/10.1117/12.388202
Event: SPIE's 7th Annual International Symposium on Smart Structures and Materials, 2000, Newport Beach, CA, United States

Abstract

The energy release rates for dielectric, piezoelectric and ferroelectric strips are analyzed. Energy minimization is used to determine the electromechanical fields in the strip. Once these fields are computed conservation of energy is used to determine the energy release rate. Three different sets of assumptions are used to treat the void space and solid material. First, an impermeable void space assumption is analyzed with small deformation assumed to be valid in the solid. Next, the void space is assumed to have finite dielectric permittivity and aside form changes in the position of its boundary the solid is treated with small deformation theory. Finally, a large deformation formulation is used for the solid along with a permeable void space. By minimizing the energy of the system we are able to show that mechanical tractions act on the crack surfaces as a result of the finite dielectric permittivity of free space. Lastly, a piezoelectric strip with remanent polarization is analyzed and it is shown that the energy release rate for a poled piezoelectric is not equal to that of a material with identical elastic, dielectric and piezoelectric properties but no remanent polarization.

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Chad M. Landis and Robert M. McMeeking "Modeling of fracture in ferroelectric ceramics", Proc. SPIE 3992, Smart Structures and Materials 2000: Active Materials: Behavior and Mechanics, (14 June 2000); https://doi.org/10.1117/12.388202

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