Abstract
A method for the determination of stress intensity factors for an arbitrarily mixed mode three-dimensional crack has been developed based on the J-integral concept. J-integral for a mixed mode three-dimensional crack is expressed in the form of J=JI(Γ)+JII(Γ)+JIII(Γ)+J0(Γ), where JI(Γ), JII(Γ), JIII(Γ) are the path-dependent line integrals equivalent to the components of mode I, mode II and mode III deformation, respectively, and J0(Γ) is the surface integral due to the three-dimensional effect. In linear elastic material, the stress intensity factors, KI, KII and KIII are determined by JI, JII(Γ), and JIII(Γ), which are obtained by extrapolating JI(Γ), JII(Γ), JIII(Γ) to the crack front. This method has been applied to obtain the stress intensity factors of mode I and mixed mode three-dimensional cracks in several cases. The numerical calculation was made using the finite element method.
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