Evaluation of the stress singularity of an interface V-notch in a bimaterial plate under bending

Abstract

An interface V-shape notch under bending loads is evaluated by a finite element discretized symplectic method. The stress intensity coefficients are extended to represent the singularities of notch-tip stress fields. The bimaterial notched plate is first meshed by conventional finite elements. Analytical symplectic eigenvectors are then used as the global interpolation functions so that the evaluation of stress singularities is reduced to solving undetermined coefficients of the symplectic series. Explicit expressions of stress fields and stress intensity coefficients are finally achieved simultaneously. Numerical examples are presented to validate the accuracy of the proposed method and new results are also given.