M. Ozturk et F. Erdogan, AN AXISYMMETRICAL CRACK IN BONDED MATERIALS WITH A NONHOMOGENEOUS INTERFACIAL ZONE UNDER TORSION, Journal of applied mechanics, 62(1), 1995, pp. 116-125
In this study the mode III axisymmetric crack problem for two dissimil
ar homogeneous materials bonded through a thin layer of nonhomogeneous
interfacial region is considered. The shear modulus of the interfacia
l layer is assumed to be mu(2)(z) = mu(1) exp (alpha z). If is also as
sumed that mu(3) = mu(1) exp (alpha h), h being the thickness of the l
ayer and mu(1) and mu(3) the shear moduli of the adherents. The main r
esults of the study are the stress intensity factors, the strain energ
y release rates and to a limited extent, the crack-opening displacemen
ts obtained as functions of the two primary variables h/a and mu(3)/mu
(1) under various lending conditions, where a is the radius of the cra
ck. Some results are also presented for a penny-shaped crack in an unb
ounded nonhomogeneous medium.