A Closed-Form Analysis of Fracture Fields in a Bonded Infinite Composite Wedges Under Anti Plane Shear Deformation

This work deals with the closed-form analysis of fracture fields in a perfectly bonded infinite composite wedges with shear material constants and and which occupies the region r≥0 ,-απ θ απ ,0≤α≤1. The material is subjected to anti plane shear deformation by a concentrated load of magnitude ,j=1,2. The problem is formulated using the complex potential theory and solved by the use of infinite Mellin transform in conjunction with the residue theorem to obtain a closed-form solutions of the fracture fields. The articulated fields were found to possess a characteristics material constant defined by γ= , which is a factor for all the fields and induces homogeneity when . The analysis reveals that the stresses are nonsingular along the interface if the proscribed shear stresses remain finite. The stresses in the angular direction (r,θ)=0 ,j=1,2 which tends to tear the interface are also nonsingular if the loads remains finite which ensures structural durability. While at the wedge tip region which is the point of high singularity and crack initiation, the stresses must remain finite to reduce structural failure. The condition for the strength of singularity at the wedge tip was also established