Stress Intensity Factor of an Edge Crack in Bonded Orthotropic Materials

Abstract

The article presents the problem of an edge crack under normal point loading terminating perpendicular to the surface of an orthotropic strip of finite thickness which is bonded to another orthotropic half plane. Expressing the displacements and stresses in plane strain condition in terms of harmonic functions, the problem is reduced to a pair of simultaneous integral equations with Cauchy type singularities, which are finally been solved by the Hilbert transform technique. The analytical expression of stress intensity factor (SIF) at the crack tip for large thickness of the strip is calculated, which corresponds to the weight function of a crack under normal loading. The influences of elastic constants of two different orthotropic materials, distinct arbitrary locations of normal point loading on the crack surface and length of the crack on the dynamic SIF are depicted through graphs.

Stress Intensity Factor of an Edge Crack in Composite Media

“…The figures reveal that the effect is that of amplification. It is observed from the figures that there is a higher propagation tendency of the crack tip towards the interface region in comparison to the model given by Das et al (2011) where the thickness of the second strip of the composite tends to infinite i.e., the second medium becomes semiinfinite half plane.…”

“…where ( ) , where * I K is the mode-I stress intensity factor at the edge crack tip a x = situated in the surface of an edge crack bonded to a semi-infinite orthotropic half plane [Das et al (2011)]. Figs.…”

“…Das (2010) has solved the problem of an edge crack of finite length in an infinite orthotropic strip under normal point loading. Recently, Das et al (2011) have solved an edge crack under normal point loading situated in the surface of an orthotropic strip bonded to an orthotropic half plane. The recent work solves the problem of an edge crack under normal point loading terminating perpendicular to the surface of an orthotropic strip which is bonded to another dissimilar orthotropic strip of equal thickness h .…”

P-Waves Interaction with Crack at Orthotropic Interface

“…Diffraction problem of three coplanar Griffith cracks in an orthotropic medium was considered by Sarkar et al [20]. Das [3] and others considered the problems containing a Griffith crack in an transversly orthotropic medium. Mukherjee et al [17] have studied the interaction of three interfacial Griffith cracks between bonded dissimilar orthotropic half planes and find out the stress intensity factor.…”

Diffraction of p-Waves by Edge Crack in an Infinite Orthotropic Strip

“…Das [13] presented the expression of SIF using weight function of an edge crack in an infinite orthotropic strip. Edge crack under normal loading studied by Das et al [14,15] in the surface of an orthotropic strip bonded to an orthotropic half plane and in the surface of an orthotropic strip of finite thickness bonded to another orthotropic finite strip.…”