Analysis of Antiplane Problems Subject to Singular Disturbances for Isotropic Elastic or Viscoelastic Medium Containing Several Circular Inclusions

Abstract

This paper presents the antiplane solutions of isotropic elastic or viscoelastic medium (matrix) containing several different isotropic circular elastic or viscoelastic inclusions subject to uniform anti-plane shear stresses as well as anti-plane concentrated force or screw dislocation at a finite point. The analyses are based on the complex variable method using the Mebius transformation and the correspondence theorem of elasticity and viscoelasticity. Capital numerical examples are illustrated.