Stress singularity analysis of a crack terminating at the interface of an anisotropic layered composite

Citation
P. Poonsawat et al., Stress singularity analysis of a crack terminating at the interface of an anisotropic layered composite, J APPL MECH, 65(4), 1998, pp. 829-836
Citations number
27
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
ISSN journal
0021-8936 → ACNP
Volume
65
Issue
4
Year of publication
1998
Pages
829 - 836
Database
ISI
SICI code
0021-8936(199812)65:4<829:SSAOAC>2.0.ZU;2-O
Abstract
The order of stress singularities at the tip of an inclined crack terminati ng at the interface of an anisotropic layered composite is investigated. Bo th fully bonded and frictional interfaces are considered. The expressions f or stresses and displacements are obtained by using the Stroh formalism. Th e stresses at the crack tip are expressed in the form sigma(ij) = r(-k)F(ij )(theta), where k is the crack-tip singularity. The singularity k is obtain ed by solving a characteristic equation which incorporates the effects of t he interface and the crack faces. The problem can be visualized as two wedg es created by a crack, pressing on a half-plane. For the frictional interfa ce, depending on the relative slip directions of the two wedges, both the c ase of the two wedges slipping in opposite directions and the case of the t wo wedges slipping in the same direction are treated. In the numerical calc ulation of the singularities, a high modulus graphite/epoxy layered composi te is used and the effect of the crack inclination on the stress singularit y k is graphically presented. In general, there are three roots of k for th e fully bonded interface, while there are only two roots of k for the slipp ing interface.