Abstract
This paper presents a 2D numerical technique based on the boundary element method (BEM) for the analysis of linear elastic fracture mechanics (LEFM) problems on stress intensity factors (SIFs) involving anisotropic bimaterials. The most outstanding feature of this analysis is that it is a singledomain method, yet it is very accurate, efficient, and versatile (i.e., the material properties of the medium can be anisotropic as well as isotropic). A computer program using the BEM formula translation (FORTRAN 90) code was developed to effectively calculate the stress intensity factors (SIFs) in an anisotropic bi-material. This BEM program has been verified and showed good accuracy compared with the previous studies. Numerical examples of stress intensity factor calculation for a straight crack with various locations in both finite and infinite bimaterials are presented. It was found that very accurate results can be obtained using the proposed method, even with relatively simple discretization. The results of the numerical analysis also show that material anisotropy can greatly affect the stress intensity factor.
Highlights
The problem of cracks between two dissimilar materials has been widely studied over the past several decades, stemming mainly from the desire to understand the failure modes of composites, including structures, rocks, and concrete
This paper presents a 2D numerical technique based on the boundary element method (BEM) for the analysis of linear elastic fracture mechanics (LEFM) problems on stress intensity factors (SIFs) involving anisotropic bimaterials
Especially in the calculation of SIFs, one needs to know the asymptotic behavior of the displacements and stresses near the crack tip
Summary
The problem of cracks between two dissimilar materials has been widely studied over the past several decades, stemming mainly from the desire to understand the failure modes of composites, including structures, rocks, and concrete. Williams [1] presented the first study of the plane problem of cracks between dissimilar isotropic materials. Williams showed that stresses possess the singularity of r−1/2±iε, where r is the radius distance from the crack tip and ε is a bi-material constant. England [2] investigated the problem of finite cracks between dissimilar isotropic materials. Rice and Sih [3] studied similar problems and derived the expressions of the stress fields near crack tips. Rice [4] reexamined the elastic fracture mechanics concepts of the isotropic interfacial crack and introduced an intrinsic material length scale so that the definition of the stress intensity factors (SIFs) possessed the same physical significance as those for homogeneous cracks
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