Abstract
The interaction between an elastic rectangular inclusion and a kinked crack in an infinite elastic body was considered by using boundary element method. The new complex boundary integral equations were derived. By introducing a complex unknown function H(t) related to the interface displacement density and traction and applying integration by parts, the traction continuous condition was satisfied automatically. Only one complex boundary integral equation was obtained on interface and involves only singularity of order l/r. To verify the validity and effectiveness of the present boundary element method, some typical examples were calculated. The obtained results show that the crack stress intensity factors decrease as the shear modulus of inclusion increases. Thus, the crack propagation is easier near a softer inclusion and the harder inclusion is helpful for crack arrest.
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WANG Yin-bang, Chau K T. A new boundary element method for plane elastic problems involving cracks and holes[J].International Journal of Fracture, 1997,87(1):1–20.
Chau K T, WANG Yin-bang. Singularity analysis and boundary integral equation method for frictional crack problems in two-dimensional elasticity[J].International Journal of Fracture, 1998,90 (3):251–274.
Chau K T, WANG Yin-bang. A new boundary integral formulation for plane elastic bodies containing cracks and holes[J].International Journal of Solids and Structures, 1999,36(14):2041–2074.
WANG Yin-bang, Chau K T. A new boundary element method for mixed boundary value problems involving cracks and holes: Interactions between rigid inclusions and cracks[J].International Journal of Fracture, 2001,110(4):387–406.
WANG Yin-bang. A new boundary integral equation method of three-dimensional crack analysis [J].International Journal of Fracture, 1993,63(4):317–328.
WANG Yin-bang, CHEN Wei-jiang. Interaction of two equal coplanar square cracks in three-dimensional elasticity[J].International Journal of Solids and Structures, 1993,30(23):3315–3320.
WANG Yin-bang, WANG Hai-feng. Boundary integral equation method of circular crack analysis [J].Journal of Lanzhou University, 1997,33(1):33–38. (in Chinese)
WANG Yin-bang. The problem of an external circular crack under asymmetric loadings[J].Applied Mathematics and Mechanics (English Edition), 2001,22(1):10–16.
Sih G C.Handbook of Stress-Intensity Factors[M]. Bethlehem: Lehigh University, 1973.
Kitagawa H, Yuuki R, Ohira T. Crack-morphological aspects in fracture mechanics[J].Engineering Fracture Mechanics, 1975,7(3):515–529.
Pan E, Amadei B. Fracture mechanics analysis of cracked 2-D anisotropic media with a new formulation of the boundary element method[J].International Journal of Fracture, 1996,77(2):161–174.
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Contributed by Wang Yin-bang
Biography: Wang Yin-bang (1956≈)
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Yin-bang, W. Boundary element analysis of interaction between an elastic rectangular inclusion and a crack. Appl Math Mech 25, 152–157 (2004). https://doi.org/10.1007/BF02437316
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DOI: https://doi.org/10.1007/BF02437316