The use of finite extension strain energy release rates in fracture of interfacial cracks

Abstract The existing solutions for interfacial cracks in bimaterial media obtained from the contact model and oscillatory model were compared. The oscillatory near tip stress field was found to agree very well with that of the contact model except for the extremely small contact zone. Using the oscillatory solution. Mode I and Mode II “strain energy release rates” for finite crack extensions were obtained in terms of the stress intensity factors and the assumed crack extension Aa. Finite elements in conjunction with the crack closure method were used to calculate these “strain energy release rates” from which accurate stress intensity factors were obtained. An alternative and efficient method based on crack surface displacement ratio was also introduced to obtain stress intensity factors. Non-oscillatory (Δα-independent) Mode I and Mode II “strain energy release rates” were proposed to provide an alternate measure of fracture mode mixity or to be used as a fracture criterion for interfacial cracks.

[1]  R. McMeeking,et al.  A method for calculating stress intensities in bimaterial fracture , 1989 .

[2]  A. Gautesen The interface crack under combined loading: an eigenvalue problem for the gap , 1993, International Journal of Fracture.

[3]  M. Williams The stresses around a fault or crack in dissimilar media , 1959 .

[4]  John Dundurs,et al.  The Interface Crack Under Combined Loading , 1988 .

[5]  C. Sun,et al.  On strain energy release rates for interfacial cracks in bi-material media , 1987 .

[6]  R. Salganik,et al.  The strength of adhesive joints using the theory of cracks , 1965 .

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

[8]  Maria Comninou,et al.  The Interface Crack in a Shear Field , 1978 .

[9]  I. Raju,et al.  Convergence of strain energy release rate components for Edge-Delaminated composite laminates , 1988 .

[10]  J. Rice,et al.  Plane Problems of Cracks in Dissimilar Media , 1965 .

[11]  C. Sun,et al.  Evaluation of a finite element based crack-closure method for calculating static and dynamic strain energy release rates , 1990 .

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

[13]  A. H. England A Crack Between Dissimilar Media , 1965 .

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

[15]  John W. Hutchinson,et al.  Crack Paralleling an Interface Between Dissimilar Materials , 1987 .

[16]  M. Kanninen,et al.  A finite element calculation of stress intensity factors by a modified crack closure integral , 1977 .

[17]  Z. Suo,et al.  Interface crack between two elastic layers , 1990 .

[18]  Maria Comninou,et al.  The Interface Crack in a Combined Tension-Compression and Shear Field , 1979 .

[19]  K. Lin,et al.  Finite element analysis of stress intensity factors for cracks at a bi-material interface , 1976 .