混合モード三次元き裂の疲労き裂進展挙動に関する研究 : 第1報,J積分を応用した混合モード三次元き裂の応力拡大係数の解析

概要

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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=J_I(Γ)+J_<II>(Γ)+J_<III>(Γ)+J_0(Γ), where J_I(Γ), J_<II>(Γ), J_<III>(Γ) are the path-dependent line integrals equivalent to the components of mode I, mode II and mode III deformation, respectively, and J_0(Γ) is the surface integral due to the three-dimensional effect. In linear elastic material, the stress intensity factors, K_I, K_<II> and K_<III> are determined by J_I, J_<II>(Γ), and J_<III>(Γ), which are obtained by extrapolating J_I(Γ), J_<II>(Γ), J_<III>(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.
1986-04-25