An elastic circular plug of radius a with properties E₁ and v₁ is perfectly bonded and embedded in an infinite elastic medium with properties E₂ and v₂. The composite is loaded with a uniform far-field biaxial stress T as shown. Using the results from Exercise 8.20, determine the stress and displacement solutions in each material. Explicitly explore the stresses on the boundary of the plug (r = a) and determine if any stress concentration will exist.

Data from exercise 8.20

A long composite cylinder is subjected to the external pressure loading as shown in the following figure. Assuming idealized perfect bonding between the two materials, the normal stress and displacement will be continuous across the interface r = r1 (see Section 5.2). Under these conditions, determine the stress and displacement fields in each material.

Transcribed Image Text:

T Perfectly Bonded Elastic Plug of Radius a