期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 57, 期 4, 页码 673-688出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2009.01.002
关键词
Electromechanical coupling; Indentation; Piezoelectric; Punch; Stiffness relations
资金
- DOE BES
Stiffness relations for voltage-dependent contact mechanics of piezoelectric material are derived for an indenter of arbitrary planform under normal force, centrally or non-centrally applied, and electric charge distribution at the base. Relations between indentation depth, indentation force, electric potential and electric charge are explicitly given in terms of indenter's geometry and piezoelectric material constants. The analysis covers indenters with non-flat base approximated by a second-order surface; elliptic paraboloid is considered as an example. In the case of the elliptic non-flat planform, the derived stiffness relations are exact; otherwise, they are approximate and are shown to have good accuracy. The stiffness relations are given in elementary functions and are obtained by utilizing the recently established principle of correspondence between the piezoelectric and purely elastic problems. Besides contributing to extension of Hertzian mechanics to piezoelectric materials, these results are essential for quantitative interpretation of the scanning probe microscopy and piezoelectric nanoindentation data on piezoelectric, ferroelectric, and multiferroic materials. (C) 2009 Elsevier Ltd. All rights reserved.
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