Boundary element analysis of interface cracks between dissimilar anisotropic materials

Abstract In this paper, the boundary element method (BEM) is applied to the analysis of interface cracks between dissimilar anisotropic materials in plane elasticity. It is based on the quadratic element formulation and special crack-tip elements which incorporate the proper O(r−12+1γ) oscillatory traction singularity are employed. A simple expression relating the stress intensity factors to the BEM computed traction coefficients is derived, and this procedure for determining stress intensity factors is validated by several examples. The numerical results obtained are shown to be very satisfactory even with relatively coarse mesh discretizations.

[1]  M. Manoharan,et al.  Strain Energy Release Rates of an Interfacial Crack Between Two Orthotropic Solids , 1989 .

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

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

[4]  F. Erdogan,et al.  Stress Distribution in Bonded Dissimilar Materials With Cracks , 1965 .

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

[6]  Y. L. Gao,et al.  Axisymmetric boundary integral equation analysis of interface cracks between dissimilar materials , 1991 .

[7]  Anthony R. Ingraffea,et al.  Two‐dimensional stress intensity factor computations using the boundary element method , 1981 .

[8]  Jianmin Qu,et al.  On elasticity solutions for cracks on bimaterial and bicrystal interfaces , 1989 .

[9]  Fuh-Gwo Yuan,et al.  A Hybrid Finite Element Approach to Composite Laminate Elasticity Problems With Singularities , 1983 .

[10]  Herbert F. Wang,et al.  Single Crystal Elastic Constants and Calculated Aggregate Properties. A Handbook , 1971 .

[11]  K. Nakagawa,et al.  A mathematical approach of the interface crack between dissimilar anisotropic composite materials , 1990 .

[12]  Y. L. Gao,et al.  Determination of characterizing parameters for bimaterial interface cracks using the boundary element method , 1992 .

[13]  Yuuki Ryoji,et al.  Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials , 1989 .

[14]  A. G. Evans,et al.  An experimental study of the fracture resistance of bimaterial interfaces , 1989 .

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

[16]  Choon-Lai Tan,et al.  Stress intensity factors for cracks at spherical inclusions by the boundary integral equation method , 1990 .

[17]  Anthony G. Evans,et al.  Effects of non-planarity on the mixed mode fracture resistance of bimaterial interfaces , 1989 .

[18]  A. Evans,et al.  A Test Specimen for Determining the Fracture Resistance of Bimaterial Interfaces , 1989 .

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

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

[21]  Kuen Y. Lin,et al.  Numerical analysis of stress singularities at a bonded anisotropic wedge , 1989 .

[22]  Youn Young Earmme,et al.  Application of conservation integrals to interfacial crack problems , 1986 .

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

[24]  Masayuki Toya,et al.  Fracture mechanics of interfaces , 1990 .

[25]  Y. L. Gao,et al.  Treatment of bimaterial interface crack problems using the boundary element method , 1990 .

[26]  Y. L. Gao,et al.  Boundary element analysis of plane anisotropic bodies with stress concentrations and cracks , 1992 .

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

[28]  Norio Hasebe,et al.  Stress analysis of a debonding and a crack around a circular rigid inclusion , 1986 .

[29]  Mark S. Shephard,et al.  Automatic crack growth tracking of bimaterial interface cracks , 1988, International Journal of Fracture.

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

[31]  Hyung Jip Choi,et al.  Boundary element analysis of stress intensity factors for bimaterial interface cracks , 1988 .

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

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

[34]  G. C. Sih,et al.  Elastostatic problems of curvilinear cracks in bonded dissimilar materials , 1967 .

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

[36]  Wu Kuang-Chong,et al.  Explicit crack-tip fields of an extending interface crack in an anisotropic bimaterial , 1991 .

[37]  E. Dill,et al.  Theory of Elasticity of an Anisotropic Elastic Body , 1964 .

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

[39]  A. Kaczyński,et al.  A system of interface cracks in a periodically layered elastic composite , 1989 .

[40]  J. Domínguez,et al.  On the use of quarter‐point boundary elements for stress intensity factor computations , 1984 .

[41]  Kuang-Chong Wu,et al.  Stress Intensity Factor and Energy Release Rate for Interfacial Cracks Between Dissimilar Anisotropic Materials , 1990 .

[42]  Sia Nemat-Nasser,et al.  Interface cracks in anisotropic dissimilar materials : An analytic solution , 1991 .

[43]  Maria Comninou,et al.  AN OVERVIEW OF INTERFACE CRACKS , 1990 .