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Indentation strength of a piezoelectric ceramic: Experiments and simulations

Published online by Cambridge University Press:  31 January 2011

S.N. Kamble ,
D.V. Kubair  and
U. Ramamurty
S.N. Kamble
Affiliation:
Department of Materials Engineering, Indian Institute of Science, Bangalore 560012, India
D.V. Kubair
Affiliation:
Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India
U. Ramamurty*
Affiliation:
Department of Materials Engineering, Indian Institute of Science, Bangalore 560012, India
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

The spherical indentation strength of a lead zirconate titanate (PZT) piezoelectric ceramic was investigated under poled and unpoled conditions and with different electrical boundary conditions (arising through the use of insulating or conducting indenters). Experimental results show that the indentation strength of the poled PZT is higher than that of the unpoled PZT. The strength of a poled PZT under a conducting indenter is higher than that under an insulating indenter. Poling direction (with respect to the direction of indentation loading) did not significantly affect the strength of material. Complementary finite element analysis (FEA) of spherical indentation of an elastic, linearly coupled piezoelectric half-space is conducted for rationalizing the experimental observations. Simulations show marked dependency of the contact stress on the boundary conditions. In particular, contact stress redistribution in the coupled problem leads to a change in the fracture initiation, from Hertzian cracking in the unpoled material to subsurface damage initiation in poled PZT. These observations help explain the experimental ranking of strength the PZT in different material conditions or under different boundary conditions.

Keywords

PiezoelectricSimulationStrength
Type
Articles
Information
Journal of Materials Research , Volume 24 , Issue 3 , March 2009 , pp. 926 - 935
Copyright
Copyright © Materials Research Society 2009

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References

REFERENCES

1.McMeeking, R.M.: A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics. Int. J. Eng. Sci. 28, 605 (1990).CrossRefGoogle Scholar
2.Pak, Y.E.: Crack extension force in a piezoelectric material. Trans. ASME J. Appl. Mech. 57, 647 (1990).CrossRefGoogle Scholar
3.Shindo, Y., Ozawa, E., and Nowacki, J.P.: Singular stress and electric fields of a cracked piezoelectric strip. Appl. Electromag. Mater. 1, 77 (1990).Google Scholar
4.Sosa, H.A.: Plane problems in piezoelectric media with defects. Int. J. Solids Struct. 28, 491 (1991).CrossRefGoogle Scholar
5.Suo, Z., Kuo, C.M., Barnett, D.M., and Willis, J.R.: Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids 40, 739 (1992).CrossRefGoogle Scholar
6.Suo, Z.: Models for breakdown-resistant dielectric and ferroelectric ceramics. J. Mech. Phys. Solids 41, 1155 (1993).CrossRefGoogle Scholar
7.Zhang, T.Y.: Effects of static electric field on the fracture behavior of piezoelectric ceramics. Acta Mech. Sin. 18, 537 (2002).CrossRefGoogle Scholar
8.Zhang, T.Y. and Gao, C.F.: Fracture behaviors in piezoelectric solids. Theor. Appl. Fract. Mech. 41, 339 (2004).CrossRefGoogle Scholar
9.Zarnik, M.S., Belavic, D., and Macek, S.: Evaluation of the constitutive material parameters for the numerical modeling of structures with lead–zirconate–titanate thick films. Sens. Actuators, A 136, 618 (2007).CrossRefGoogle Scholar
10.Makagon, A., Kachanov, M., Kalinin, S.V., and Karapetian, E.: Indentation of spherical and conical punches into piezoelectric half-space with frictional sliding: Applications to scanning-probe microscopy. Phys. Rev. B 76, 064115 (2007).CrossRefGoogle Scholar
11.Yang, F.: Analysis of the axisymmetric indentation of a semiinfinite piezoelectric material: The evaluation of the contact stiffness and the effective piezoelectric constant. J. Appl. Phys. 103, 074115 (2008).CrossRefGoogle Scholar
12.Ramamurty, U. and Kumaran, M.C.: Mechanical property extraction through conical indentation of a closed-cell aluminum foam. Acta Mater. 52, 181 (2004).CrossRefGoogle Scholar
13.Jana, S., Bhowmick, R., Kawamura, Y., Chattopadhyay, K., and Ramamurty, U.: Deformation morphology underneath the Vickers indent in a Zr-based bulk metallic glass. Intermetallics 12, 1097 (2004).CrossRefGoogle Scholar
14.Ramachandra, S., Sudheer Kumar, P., and Ramamurty, U.: Impact energy absorption in an Al foam at low velocities. Scr. Mater. 49, 741 (2003).Google Scholar
15.Matysiak, S.J.: Axisymmetric problem of punch pressing into a piezoelectric half-space. Bull. Polish Acad. Techn. Sci. 33, 25 (1985).Google Scholar
16.Sosa, H.A. and Castro, M.A.: On concentration load at boundary of a piezoelectric half-plane. J. Mech. Phys. Solids 42, 1105 (1994).CrossRefGoogle Scholar
17.Fan, H., Sze, K.Y., and Yang, W.: Two dimensional contact on a piezoelectric half-space. Int. J. Solids Struct. 33, 1305 (1996).CrossRefGoogle Scholar
18.Chen, Wei-qiu: On piezoelectric contact problem for a smooth punch. Int. J. Solids Struct. 37, 2331 (2000).CrossRefGoogle Scholar
19.Giannakopoulos, A.E. and Suresh, S.: Theory of indentation of piezoelectric materials. Acta Mater. 47, 2153 (1999).CrossRefGoogle Scholar
20.Ramamurty, U., Sridhar, S., Giannakopulous, A.E., and Suresh, S.: Experimental study of spherical indentation on piezoelectric materials. Acta Mater. 47, 2417 (1999).CrossRefGoogle Scholar
21.Sridhar, S., Giannakopoulos, A.E., Suresh, S., and Ramamurty, U.: Electric response during indentation of piezoelectric materials: A new method for materials characterization. J. Appl. Phys. 85, 380 (1999).CrossRefGoogle Scholar
22.Chen, W. and Ding, H.: Indentation of a transversely isotropic piezoelectric half-space by a rigid sphere. Acta Mech. Solid. Sin. 12, 114 (1999).Google Scholar
23.Deluca, M., Galassi, C., and Pezzotti, G.: Residual stresses in PZT investigated by polarized Raman piezospectroscopy. Ferroelectrics Lett. 32, 31 (2005).CrossRefGoogle Scholar