A formulation for the determination of the order of the stress singularities at the tip of a reentrant corner for anisotropic wedges was given by Bogy (1972). Results for orthotropic wedges were obtained as a special case, and it was concluded that the order of the stress singularities at the tip of reentrant orthotropic wedges is always more severe than that of the corresponding isotropic wedge. It is shown here that the order of the stress singularities at the wedge tip can be above or below that of the corresponding isotropic wedge, depending on the material properties.

1.
Bogy, D. B., 1972, “The Plane Solution for Anisotropic Elastic Wedges Under Normal and Shear Loading,” ASME JOURNAL OF APPLIED MECHANICS, pp. 1103–1109.
2.
Green, A. E., and Zerna, W., 1954, Theoretical Elasticity, Oxford University Press, Oxford, U.K.
3.
Hein
V. L.
, and
Erdogan
F.
,
1971
, “
Stress Singularities in a Two-Material Wedge
,”
International Journal of Fracture Mechanics
, Vol.
7
, pp.
317
330
.
4.
Kuo, M. C., and Bogy, D. B., 1974a, “Plane Solutions for the Displacement and Traction-Displacement Problems for Anisotropic Elastic Wedges,” ASME JOURNAL OF APPLIED MECHANICS, pp. 197–202.
5.
Kuo, M. C., and Bogy, D. B., 1974b, “Plane Solutions for the Displacement and Traction Displacement Problems for Anisotropic Elastic Wedges,” ASME Journal of Applied Mechanics, pp. 203–208.
6.
Pageau
S. S.
,
Joseph
P. F.
, and
Biggers
S. B.
,
1995
a, “
Finite Element Analysis of Anisotropic Materials with Singular Inplane Stress Fields
,”
International Journal of Solids and Structures
, Vol.
32
, No.
5
, pp.
571
591
.
7.
Pageau, S. S., 1995b, Ph.D. dissertation, Clemson University, Clemson, SC.
8.
Theocaris
P. S.
,
1974
, “
The Order of Singularity at a Multi-Wedge Corner of a Composite Plate
,”
International Journal of Engineering Sciences
, Vol.
12
, pp.
107
120
.
9.
Williams, M. L., 1952, “Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension,” ASME JOURNAL OF APPLIED MECHANICS, pp. 526–528.
This content is only available via PDF.
You do not currently have access to this content.