H-integralによる三次元接合角部のスカラーパラメーター解析

抄録

We proposed new technique to analysis the asymptotic solution around a three dimensional interface corners. We analyzed the scalar parameters of the asymptotic solutions using the H-integral, which is a conservative integral, in conjunction with the finite element analysis. Singular orders of these three-dimensional corners were obtained using the finite element method for the eigen analysis. We discovered that if λ is an eigenvalue of a three dimensional corner, –λ–1 is also an eigenvalue. Complementary eigenvalues and eigenvectors are used for the H-integral analysis to obtain the scalar parameters. If we select eigenvalues as –λ–1 and related eigenvalues for complementary solutions, H-integrals correspond with scalar parameters. We demonstrate that the obtained asymptotic solutions correspond well with the finite element analyses around three-dimensional interface corners.