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Thermalelasticityin Piezoelectric Ceramic

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(1)

Study on Three Dimensional Thermalelasticity in Piezoelectric Ceramic Plates

March, 1996

Jeong Seok, Choi

The present paper deals with three-dimensional thermoelastic problems in piezoelectric ceramic plates exhibiting crystal

class

6mm in cartesian coordinates.

First, the basic equations in the thermal, elastic and electric fields for piezoelectric materials of crystal class 6mm

are

discussed, and then a general solution technique for a piezothermoelastic problem which employs three kinds of potential functions is introduced.

Application is made to two three-dimensional problems of transient thermoelasticity in the piezoelectric ceramic

plates

subjected to a symmetric thermal load as well as to an antisymmetric thermal load. Numerical calculations for the two problems are carried out for a cadmium selenide plate of crystal class 6mm, respectively. The time variations of elastic

displacements,

stresses,

electric potential, electric field intensities and electric displacements are illustrated graphically. The numerical results for

the

two problems

are

compared

each

other.

A three-dimensional problem of stationary thermoelasticity in

an

isotropic structural plate to which

a

piezoelectric ceramic plate is perfectly bonded is considered. Analysis of the direct problem leads to the elastic displacements

stresses

and electric potential. Next by analyzing the inverrse piezoelastic problem, the electric potential on the free surface of the piezoelectric ceramic plate wich

suppresses

the elastic displacement on the free surface of the isotropic plate can be obtained. Finally, numerical calculations

are

carried out for

a

bonded steel plate and

a

cadmium selenide plate, and then the obtained appropriate electric potential

as

well

as

the

stresses are

illustrated graphically.

-264-

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