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发帖数: 5 | 1 Finite element analysis of the spherical indentation of transversely
isotropic piezoelectric materials
Modelling Simul. Mater. Sci. Eng. 20 (2012) 045019 (15pp) doi:10.1088/0965-
0393/20/4/045019
Abstract
Finite element analysis was used to analyze the indentation deformation of
a transversely isotropic piezoelectric material (PZT-4) by a rigid spherical
indenter. Three cases were considered in the analysis, which included (a)
the indentation by an insulating indenter, (b) the indentation by a
conducting
indenter and (c) the indentation of the piezoelectric material with equal
electric
potential on the top surface. The indentation load was found to be
proportional
to the 3/2 power of the indentation depth for all three cases. Using the
simulation
results and the analytical relation for the indentation by a rigid,
insulating
indenter, semi-empirical relations were developed between the indentation
load
and the indentation depth and between the electric potential on the indenter
and
the indentation depth, respectively, for the indentation by a rigid,
conducting
indenter. The singularity of electric field for the indentation by the
conducting
indenter led to a stress singularity at the contact edge, which will likely
cause a
structural damage. The electric analysis found that a non-zero electric
potential
was induced on the conducting indenter and the surface of the piezoelectric
material with equal potential on the top surface. The apparent piezoelectric
coefficients determined from the indentation by the conducting
indenter and
the indentation of the piezoelectric material with equal potential on the
top
surface decreased with increasing indentation depth |
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