Stress concentration due to an elliptic hole in a degrading linearized elastic solid

A computational analysis is carried out of boundary-value problems associated with a planar generalized linearized elastic solid body with an elliptic hole in it, with a fluid diffusing through the solid. This diffusion of fluid can either enhance or degrade the load carrying capacity of the body, based on how the material moduli of the solid depend on the concentration of the fluid, that is whether the presence of the fluid degrades or strengthens the material. We investigate the nature of the solution when the aspect ratio tends to zero, a problem relevant to the stress singularity at crack tips.