Analysis near Apex in Three-Phase Bonded Material with Arbitrary Wedge Angles under Normal Surface Loading on the Surface. 1st Report, Stress Distribution in Stress Fields with Singularity of Type .GAMMA.-.LAMBDA. and log.GAMMA..

Stress singularity analysis around the singular point on the stress singularity line in three-dimensional joints

“…The two-dimensional asymptotic stress fields near an apex are expressed by a linear combination of r ij / K ij r pÀ1 or r ij / L ij r pÀ1 ln r corresponding to roots p in 0 < Re(p) < 1, r ij / L ij log r to a double roots at p = 1 as well as no singularity ones r ij / K ij r pÀ1 to roots p in Re(p) > 1 (Bogy, 1970(Bogy, , 1971aBogy and Wang, 1971;Dempsey andSinclair, 1979, 1981;Dempsey, 1995;Inoue et al, 1994Inoue et al, , 1995Inoue et al, , 1996, where r is a radial distance from an apex, and p is a root of an eigen equation. The constant values, K ij and L ij , for each solution indicate the stress intensity factors for the stress fields.…”