熱応力下の異方性異種材界面接合端部の特異応力場解析

概要

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A numerical method using the path independent H-integral based on the Betti reciprocal principle was developed to analyze the stress intensity factors of an interfacial corner between anisotropic bimaterials under thermal stress. According to the theory of linear elasticity, asymptotic stress near the tip of a sharp interfacial corner is generally singular as a result of a mismatch of elastic constants. The singular order and the eigenfunctions are obtained using the Williams eigenfunction method, which depends on material properties and the geometry of an interfacial corner. The singular order is real, complex or power-logarithmic. The amplitudes of the singular stress terms can be calculated using the H-integral. The stress and displacement around an interfacial corner for the H-integral are obtained by the finite element analysis. A new definition of the stress intensity factors of an interfacial corner that is proposed involves a smooth expansion of the stress intensity factors of an interfacial crack between dissimilar materials. Asymptotic solutions of stress and displacement around an interfacial corner are uniquely obtained using these stress intensity factors.
社団法人日本機械学会の論文
2008-01-25