Orientation effect on the Boussinesq indentation of a transversely isotropic piezoelectric material

Ming Liu; Fuqian Yang

doi:10.1016/j.ijsolstr.2013.04.004

Orientation effect on the Boussinesq indentation of a transversely isotropic piezoelectric material

Ming Liu, Fuqian Yang

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

Three-dimensional finite element analysis was used to study the effect of the angle between the loading direction and the axisymmetric direction on the indentation behavior of a transversely isotropic piezoelectric half-space by a cylindrical indenter of flat end. Two cases were considered in the analysis, which included (a) the indentation by an insulating indenter, and (b) the indentation by a conducting indenter. Both the indentation load and the indentation-induced potential were found to be proportional to the indentation depth. Using the simulation results and the analytical relationship for the indentation by a rigid, insulating indenter, semi-analytical relationships were developed between the indentation load and the indentation depth and between the indentation-induced potential on the indenter and the indentation depth for the conducting indenter, respectively. The proportionality between the indentation-induced potential and the indentation depth is only a function of the angle between the loading direction and the poling direction, independent of the type of indenters, which may be used to measure the relative direction of the loading axis to the axisymmetric axis of transversely piezoelectric materials from the indentation test.

Original language	English
Pages (from-to)	2542-2547
Number of pages	6
Journal	International Journal of Solids and Structures
Volume	50
Issue number	14-15
DOIs	https://doi.org/10.1016/j.ijsolstr.2013.04.004
State	Published - Jul 2013

Bibliographical note

Funding Information:
This work is supported by the NSF through Grant No CMMI-0800018 . The authors would like to thank the University of Kentucky Information Technology Department and Center for Computational Sciences for computing time on the Lipscomb High Performance Computing Cluster. This research was supported in part by the NSF through XSEDE resources provided by SDSC (National allocation).

Keywords

3-D FEM simulation
Indentation deformation
Load-displacement relation
Piezoelectric materials

ASJC Scopus subject areas

Modeling and Simulation
General Materials Science
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/j.ijsolstr.2013.04.004

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title = "Orientation effect on the Boussinesq indentation of a transversely isotropic piezoelectric material",

abstract = "Three-dimensional finite element analysis was used to study the effect of the angle between the loading direction and the axisymmetric direction on the indentation behavior of a transversely isotropic piezoelectric half-space by a cylindrical indenter of flat end. Two cases were considered in the analysis, which included (a) the indentation by an insulating indenter, and (b) the indentation by a conducting indenter. Both the indentation load and the indentation-induced potential were found to be proportional to the indentation depth. Using the simulation results and the analytical relationship for the indentation by a rigid, insulating indenter, semi-analytical relationships were developed between the indentation load and the indentation depth and between the indentation-induced potential on the indenter and the indentation depth for the conducting indenter, respectively. The proportionality between the indentation-induced potential and the indentation depth is only a function of the angle between the loading direction and the poling direction, independent of the type of indenters, which may be used to measure the relative direction of the loading axis to the axisymmetric axis of transversely piezoelectric materials from the indentation test.",

keywords = "3-D FEM simulation, Indentation deformation, Load-displacement relation, Piezoelectric materials",

author = "Ming Liu and Fuqian Yang",

note = "Funding Information: This work is supported by the NSF through Grant No CMMI-0800018 . The authors would like to thank the University of Kentucky Information Technology Department and Center for Computational Sciences for computing time on the Lipscomb High Performance Computing Cluster. This research was supported in part by the NSF through XSEDE resources provided by SDSC (National allocation).",

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AU - Liu, Ming

AU - Yang, Fuqian

N1 - Funding Information: This work is supported by the NSF through Grant No CMMI-0800018 . The authors would like to thank the University of Kentucky Information Technology Department and Center for Computational Sciences for computing time on the Lipscomb High Performance Computing Cluster. This research was supported in part by the NSF through XSEDE resources provided by SDSC (National allocation).

PY - 2013/7

Y1 - 2013/7

N2 - Three-dimensional finite element analysis was used to study the effect of the angle between the loading direction and the axisymmetric direction on the indentation behavior of a transversely isotropic piezoelectric half-space by a cylindrical indenter of flat end. Two cases were considered in the analysis, which included (a) the indentation by an insulating indenter, and (b) the indentation by a conducting indenter. Both the indentation load and the indentation-induced potential were found to be proportional to the indentation depth. Using the simulation results and the analytical relationship for the indentation by a rigid, insulating indenter, semi-analytical relationships were developed between the indentation load and the indentation depth and between the indentation-induced potential on the indenter and the indentation depth for the conducting indenter, respectively. The proportionality between the indentation-induced potential and the indentation depth is only a function of the angle between the loading direction and the poling direction, independent of the type of indenters, which may be used to measure the relative direction of the loading axis to the axisymmetric axis of transversely piezoelectric materials from the indentation test.

AB - Three-dimensional finite element analysis was used to study the effect of the angle between the loading direction and the axisymmetric direction on the indentation behavior of a transversely isotropic piezoelectric half-space by a cylindrical indenter of flat end. Two cases were considered in the analysis, which included (a) the indentation by an insulating indenter, and (b) the indentation by a conducting indenter. Both the indentation load and the indentation-induced potential were found to be proportional to the indentation depth. Using the simulation results and the analytical relationship for the indentation by a rigid, insulating indenter, semi-analytical relationships were developed between the indentation load and the indentation depth and between the indentation-induced potential on the indenter and the indentation depth for the conducting indenter, respectively. The proportionality between the indentation-induced potential and the indentation depth is only a function of the angle between the loading direction and the poling direction, independent of the type of indenters, which may be used to measure the relative direction of the loading axis to the axisymmetric axis of transversely piezoelectric materials from the indentation test.

KW - 3-D FEM simulation

KW - Indentation deformation

KW - Load-displacement relation

KW - Piezoelectric materials

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Orientation effect on the Boussinesq indentation of a transversely isotropic piezoelectric material

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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