Elastic analysis of a multilayered cylindrical fiber with eigenstrains

A general solution to the plane-elasticity problem of a multilayered circul ar hollow-cored inclusion with internal radial strains (eigenstrains), unde r uniform arbitrary remote loading, is proposed. Complex variable technique s are used, leading to an exact solution in a reasonably compact and manage able form. The explicit solution for the misfitting simple-ring inclusion i s derived as a special case. Numerical results for a simply coated fiber ar e worked out. The effect of eigenstrains, hollow-core extent (porosity), an d coating hardness on the stress distribution within both fiber and matrix is analyzed. In particular, it is found that eigenstrains may be effective in reducing stress levels inside (tension) or around (shear) the fiber, and that porosity controls the stress intensity spread. (C) 2001 Elsevier Scie nce Ltd. All rights reserved.