N. Noda et al., STRESS INTENSITY FACTORS FOR EXTERNAL AND PENNY-SHAPED CRACKS IN TRANSVERSELY ISOTROPIC CYLINDERS SUBJECTED TO THERMAL-SHOCK, Archive of applied mechanics, 64(6), 1994, pp. 383-394
The paper discusses stress intensity factors for two thermal shock pro
blems in transversely isotropic cylinders which contain either an exte
rnal annular crack or a penny-shaped crack. The thermal stress field i
s analyzed by means of the potential function method for transversely
isotropic solids. A method of successive approximation together with t
he Fourier integral and the Bessel series are used to satisfy the boun
dary conditions. Numerical calculations of the stress intensity factor
s are carried out for a beryllium oxide cylinder, which possesses tran
sverse isotropy. The maximum stress intensity factors with respect to
a time variable are approximated by a function of Biot's number and cr
ack length.