Mc. Chen et al., Application of finite-part integrals to planar interfacial fracture problems in three-dimensional bimaterials, J APPL MECH, 66(4), 1999, pp. 885-890
Citations number
18
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
This paper deals with linear elastic fracture problems for a planar crack o
n an interface between two dissimilar elastic half-space solids bonded toge
ther. The finite-part integral concept is used to derive hypersingular inte
gro-differential equations for the interfacial crack from the point-force s
olutions for a bimaterial space. Investigations on the singularities and th
e singular stress fields in the vicinity of the crack are made by the domin
ant-part analysis of the two-dimensional hypersingular integrals. Thereafte
r the stress intensity factor K-fields and the energy release rate G are ex
actly obtained by using the definitions of stress intensity factors and the
principle of virtual work, respectively. The results show that, unlike the
homogenous case, the asymptotic fields always consist of all three modes o
f fracture. Finally, some numerical examples of various aspects of elliptic
al cracks subjected to constant pressures are given.