A thick‐point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis

The present paper proposes an approximation of the influence a small inhomogeneity, having different stiffness, in elastic medium restricting its cinematics to finite dimensional space. problem, for unknown displacement, is written accordance transmission conditions between and inhomogeneity. multi-scale asymptotic expansions techniques, by using some corrective terms, are introduced analyze inhomogeneity both initial approximated problems. Finally, error estimates presented strategies compared.