Reduction of free-edge stress intensities in anisotropic bimaterials

We investigate the free-edge stresses in anisotropic bimaterials through the use of the free-edge stress intensity factor, Kf. This requires a determination of the singularity order at the free-surface as well as a calculation of the near-field stresses. We determine the order of the singularity for arbitrary free-surface orientation of the upper material using an eigenvalue analysis for anisotropic bimaterials. The interfacial stresses are determined using a boundary element calculation based on anisotropic, bimaterial Green's functions. The variation of Kf with free-surface orientation is determined. We find that the free-edge singularity vanishes for certain angles dependent on the anisotropic elastic constants.

[1]  J. Berger.  Boundary element analysis of anisotropic bimaterials with special Green's functions☆ , 1994 .

[2]  V. Tewary.  Elastic Green’s function for a bimaterial composite solid containing a free surface normal to the interface , 1991 .

[3]  Maciej Kumosa,et al.  Analysis of stress singular fields at a bimaterial wedge corner , 1994 .

[4]  F. Erdogan,et al.  Stress singularities in a two-material wedge , 1971 .

[5]  David B. Bogy,et al.  The Plane Solution for Anisotropic Elastic Wedges Under Normal and Shear Loading , 1972 .

[6]  E. D. Reedy,et al.  Intensity of the stress singularity at the interface corner between a bonded elastic and rigid layer , 1990 .

[7]  T. Cruse.  Boundary Element Analysis in Computational Fracture Mechanics , 1988 .

[8]  R. L. Spilker,et al.  On the Logarithmic Singularity of Free-Edge Stress in Laminated Composites Under Uniform Extension , 1982 .

[9]  T. Ting.  Generalized Dundurs constants foranisotropic bimaterials , 1995 .

[10]  A. N. Stroh.  Dislocations and Cracks in Anisotropic Elasticity , 1958 .

[11]  J. Dundurs.  Discussion: ``Edge-Bonded Dissimilar Orthogonal Elastic Wedges Under Normal and Shear Loading'' (Bogy, D. B., 1968, ASME J. Appl. Mech., 35, pp. 460-466) , 1969 .

[12]  V. Tewary,et al.  Elastic Green's function for a composite solid with a planar interface , 1989 .

[13]  H. Koenig,et al.  Prediction of edge stresses in layered media using the surface integral-finite element technique , 1994 .

[14]  J. Dundurs,et al.  Discussion of Edge-Bonded Dissimilar Orthogonal Elastic Wedges under Normal and Shear Loading , 1969 .

[15]  Jens Lothe John Price Hirth,et al.  Theory of Dislocations , 1968 .

[16]  R. Kriz,et al.  Generalized plane strain analysis of a bimaterial composite containing a free surface normal to the interface , 1991 .

[17]  Rj Sanford,et al.  Photoelastic Calibration of the Short-Bar Chevron-Notched Specimen , 1984 .