F. Ashida et Tr. Tauchert, TRANSIENT-RESPONSE OF A PIEZOTHERMOELASTIC CIRCULAR DISK UNDER AXISYMMETRICAL HEATING, Acta mechanica, 128(1-2), 1998, pp. 1-14
Transient temperature, displacement, stress and electric field intensi
ties in a finite circular piezothermoelastic disk undergoing axisymmet
ric surface heating are examined. Exact solutions to the equations of
equilibrium and electrostatics are obtained using a potential function
approach based upon two piezothermoelastic potential functions, three
piezoelastic potential functions and a piezoelectric potential functi
on. The disk under consideration is assumed to exhibit hexagonal mater
ial symmetry of class 6 mm. The initial temperature of the disk is zer
o; thereafter one face is subjected to linear heal transfer from an ad
jacent medium (Newton's law of cooling), while the temperature of the
other face remains constant. Both faces are taken to be free of tracti
on. The cylindrical boundary of the disk is thermally insulated, elect
rically charge-free, and constrained against radial deformation. Numer
ical results are obtained for the stress and the electric potential di
stributions in a cadmium selenide disk.