Strength Analysis of Spherical Indentation of Piezoelectric Materials

A. E. Giannakopoulos

doi:10.1115/1.1304913

Journal of Applied Mechanics | Volume 67 | Issue 2 | TECHNICAL PAPERS

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TECHNICAL PAPERS

Strength Analysis of Spherical Indentation of Piezoelectric Materials

A. E. Giannakopoulos, Mem. ASME

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A. E. Giannakopoulos

Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

J. Appl. Mech 67(2), 409-416 (Oct 13, 1999) (8 pages) doi:10.1115/1.1304913 History: Received May 21, 1999; Revised October 13, 1999

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Schematic of the normal indentation of piezoelectric materials by a rigid spherical indenter

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Overall view of the finite element mesh used in the present calculations; details of the mesh close to and away from the contact area are included

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Maximum tensile principal stress distribution for spherical indentation of PZT-4; (a) uncoupled case (P/(πa²)=33.84 GPa), (b) coupled case, with indenter being a perfect conductor of zero electric potential (P/(πa²)=33.84 GPa), (c) coupled case, with indenter being a perfect insulator of zero surface electric charge (P/(πa²)=33.84 GPa)

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Maximum tensile principal stress distribution for spherical indentation of 95 percent BaTiO₃–5 percentCaTiO₃; (a) uncoupled case (P/(πa²)=33.84 GPa), (b) coupled case, with indenter being a perfect conductor of zero electric potential (P/(πa²)=33.84 GPa) (c) coupled case, with indenter being a perfect insulator of zero surface electric charge (P/(πa²)=33.84 GPa)

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Magnitude of electric flux distribution, E_r²+E_z², for spherical indentation of 95 percent BaTiO₃–5 percentCaTiO₃ (coupled case), (a) indented with conducting sphere of zero electric potential (P/(πa²)=33.84 GPa), (b) indented with nonconducting sphere of zero surface electric charge (P/(πa²)=33.84 GPa)

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Giannakopoulos AE. Strength Analysis of Spherical Indentation of Piezoelectric Materials. ASME. J. Appl. Mech. 1999;67(2):409-416. doi:10.1115/1.1304913.

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Strength Analysis of Spherical Indentation of Piezoelectric Materials

References

Figures

Schematic of the normal indentation of piezoelectric materials by a rigid spherical indenter

Overall view of the finite element mesh used in the present calculations; details of the mesh close to and away from the contact area are included

Tables

Errata

Discussions

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