Analytical Solutions for In-Plane and Out-of-Plane Problems with Elliptic Hole or Elliptic Rigid Inclusion and Their Applications. (1st Report. Basic Theory for Isotropic In-Plane Problems).

Abstract

This paper presents a unified analysis of in-plane proplems containing elliptic Hole or elliptic rigid inclusion under singular point forces and dislocations of single and dipole types as well as applied stresses and rotation at infinity. The analysis is based on the complex variable method using a conformal mapping technique. The analysis also covers the problems of stress intensity factors (or stress singularity coefficient) of a crack (or rigid line inclusion) under the several singular forces and dislocations at arbitrary finite locations.