The influence of non-singular terms on the precision of stress description near a sharp material inclusion tip

A theoretical elastic stress field in the vicinity of a sharp material inclusion tip has a singular character. The power of a stress singularity, characterized by the exponents of the singularity, is different from the power of a singularity in the case of a crack in homogenous media. Stress distribution near the singular point can be described by an asymptotic expansion. The series consists of singular and non-singular terms, depending on the eigenvalue λ in the exponent of each term. The singular terms are characterized by 0