Interface crack problems in layered orthotropic materials

Abstract T he primary objective of this paper is to study the influence of the structure and thickness of the interfacial regions on the strain energy release rate in bonded isotropic or orthotropic materials containing collinear interface cracks. The problem is formulated in terms of a system of singular integral equations of the second kind which is solved by using a relatively simple and efficient technique. A number of examples are given for various crack geometries and material combinations. The results show that the effect of the properties and the relative thickness of the interfacial region on the stress intensity factors and the strain energy release rate can be highly significant.

[1]  J. Qu,et al.  Cracks on bimaterial and bicrystal interfaces , 1989 .

[2]  F. Smithies,et al.  Singular Integral Equations , 1955, The Mathematical Gazette.

[3]  T. C. T. Ting,et al.  Explicit solution and invariance of the singularities at an interface crack in anisotropic composites , 1986 .

[4]  F. Erdogan,et al.  Bonded orthotropic strips with cracks , 1979, International Journal of Fracture.

[5]  Y. Chou.  Interaction of Parallel Dislocations in a Hexagonal Crystal , 1962 .

[6]  F. Erdogan,et al.  The crack and wedging problem for an orthotropic strip , 1993, International Journal of Fracture.

[7]  John Dundurs,et al.  The Interface Crack in a Tension Field , 1987 .

[8]  Maria Comninou,et al.  The Interface Crack , 1977 .

[9]  D. L. Clements,et al.  A crack between dissimilar anisotropic media , 1971 .

[10]  Jianmin Qu,et al.  Finite crack on bimaterial and bicrystal interfaces , 1989 .

[11]  F. Erdogan,et al.  Penny-shaped interface crack between an elastic layer and a half space☆ , 1972 .

[12]  H. Ishida.  A review of recent progress in the studies of molecular and microstructure of coupling agents and their functions in composites, coatings and adhesive joints , 1984 .

[13]  F. Erdogan,et al.  Fracture problems in composite materials , 1972 .

[14]  Zhigang Suo,et al.  Singularities, interfaces and cracks in dissimilar anisotropic media , 1990, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[15]  J. Willis,et al.  Fracture mechanics of interfacial cracks , 1971 .

[16]  G. D. Gupta,et al.  Layered composites with an interface flaw , 1971 .

[17]  S. Krenk.  On the Elastic Constants of Plane Orthotropic Elasticity , 1979 .

[18]  Rene F. Swarttouw,et al.  Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.

[19]  James R. Rice,et al.  Elastic Fracture Mechanics Concepts for Interfacial Cracks , 1988 .

[20]  F. Erdogan,et al.  Penny-shaped crack in an elastic layer bonded to dissimilar half spaces , 1971 .

[21]  G. D. Gupta,et al.  The stress analysis of multi-layered composites with a flaw , 1971 .