Boundary contour method fracture analysis of bimaterial interface cracks

Communications in Numerical Methods in Engineering

Volumn 24, Issue 12, 2008, Pages 1685-1697

  Phan, A V ^a   Mukherjee, S ^b  

^a University of South Alabama   (United States)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

Bimaterial interface crack; Boundary contour method; Multi region analysis; Stress intensity factor

Indexed keywords

ASPHALT PAVEMENTS; CRACK DETECTION; STRESS INTENSITY FACTORS; WELDS;

BIMATERIAL INTERFACE CRACK; BOUNDARY CONTOUR METHOD; BOUNDARY CONTOURS; BOUNDARY ELEMENTS; CORRELATION TECHNIQUES; FRACTURE ANALYSIS; MULTI-REGION ANALYSIS; NUMERICAL INTEGRATIONS; STRESS INTENSITY FACTOR; TWO-DIMENSIONAL;

BOUNDARY ELEMENT METHOD;

EID: 61749089100     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.1060     Document Type: Article

References (30)

1. Mukherjee S. Boundary Element Methods in Creep and Fracture. Elsevier Applied Science: London, 1982.
2. Bonnet M. Boundary Integral Equation Methods for Solids and Fluids. Wiley: Chichester, 1995.
3. Lutz ED. Numerical methods for hypersingular and near-singular boundary integrals in fracture mechanics. Ph.D. Dissertation, Cornell University, Ithaca, NY, 1991.
4. Nagarajan A, Lutz ED, Mukherjee S. A novel boundary element method for linear elasticity with no numerical integration for two-dimensional and line integrals for three-dimensional problems. Journal of Applied Mechanics (ASME) 1994; 61:264-269.
5. Nagarajan A, Lutz ED, Mukherjee S. The boundary contour method for three-dimensional linear elasticity. Journal of Applied Mechanics (ASME) 1996; 63:278-286.
6. Nagarajan A. A novel boundary element method for linear elasticity. Ph.D. Dissertation, Cornell University, Ithaca, NY, 1994.
7. Phan A-V, Gray LJ, Kaplan T, Phan T-N. The boundary contour method for two-dimensional Stokes flow and incompressible elastic materials. Computational Mechanics 2002; 28:425-433.
8. Williams ML. The stresses around a fault or crack in dissimilar media. Bulletin of the Seismological Society of America 1959; 49:199-204.
9. Erdogan F. Stress distribution in a nonhomogeneous elastic plane with cracks. Journal of Applied Mechanics 1963; 30:232-236.
10. Rice JR, Sih GC. Plane problems of cracks in dissimilar media. Journal of Applied Mechanics 1965; 32:418-423.
11. Rice JR. Elastic fracture mechanics concepts for interfacial cracks. Journal of Applied Mechanics 1988; 55:98-103.
12. Lee KY, Choi HJ. Boundary element analysis of stress intensity factors for bimaterial interface cracks. Engineering Fracture Mechanics 1988; 29:461-472.
13. Yuuki R, Cho S-B. Efficient boundary element analysis of stress intensity factors for interface cracks in dissimilar materials. Engineering Fracture Mechanics 1989; 34:179-188.
14. Tan CL, Gao Y-L. Treatment of bimaterial interface crack problems using the boundary element method. Engineering Fracture Mechanics 1990; 36:919-932.
15. Miyazaki N, Ikeda T, Soda T, Munakata T. Stress intensity factor analysis of interface crack using boundary element method - application of contour-integral method. Engineering Fracture Mechanics 1993; 45:599-610.
16. Xiao F, Hui C-Y. A boundary element method for calculating the K field for cracks along a bimaterial interface. Computational Mechanics 1994; 15:58-78.
17. Lee SS. Boundary element evaluation of stress intensity factors for interface edge cracks in a unidirectional composite. Engineering Fracture Mechanics 1996; 55:1-6.
18. Sladek J, Sladek V. Evaluation of the T-stress for interface cracks by the boundary element method. Engineering Fracture Mechanics 1997; 56:813-825.
19. Liu YJ, Xu N. Modeling of interface cracks in fiber-reinforced composites with the presence of interphases using the boundary element method. Mechanics of Materials 2000; 32:769-783.
20. Matsumto T, Tanaka M, Obara R. Computation of stress intensity factors of interface cracks based on interaction energy release rates and BEM sensitivity analysis. Engineering Fracture Mechanics 2000; 65:683-702.
21. Qin Q-H. Self-consistent boundary element solution for predicting overall properties of cracked bimaterial solid. Engineering Analysis with Boundary Elements 2002; 26:827-837.
22. Pavlou DG. Green's function for the bimaterial elastic solid containing interface annular crack. Engineering Analysis with Boundary Elements 2002; 26:845-853.
23. Rudas M, Bush MB, Reimanis IE. The kinking behaviour of a bimaterial interface crack under indentation loading. Engineering Analysis with Boundary Elements 2004; 28:1455-1462.
24. Cisilino AP, Ortiz JE. Three-dimensional boundary element assessment of a fibre/matrix interface crack under transverse loading. Computers and Structures 2005; 83:856-869.
25. Sun Y, Zhang Z, Kitipornchai S, Liew KM. Analyzing the interaction between collinear interfacial cracks by an efficient boundary element-free method. International Journal of Engineering Science 2006; 44:37-48.
26. Phan A-V, Mukherjee S, Mayer JRR. The boundary contour method for two-dimensional linear elasticity with quadratic boundary elements. Computational Mechanics 1997; 20:310-319.
27. Rizzo FJ. An integral equation approach to boundary value problems of classical elastostatics. Quarterly of Applied Mathematics 1967; 25:83-95.
28. Nagashima T, Omoto Y, Tani S. Stress intensity factor analysis of interface cracks using X-FEM. International Journal for Numerical Methods in Engineering 2003; 56:1151-1173.
29. Pilkey WD. Formulas for Stress Strain and Structural Matrices. McGraw-Hill: New York, 1970.
30. Murakami Y (ed.). Stress Intensity Factors Handbook, vols. 1 and 2, The Society of Materials Science. Pergamon Press: Japan, 1987.