The region is assumed embedded into a large body treated as a homogeneous elastic continuum.
Emphasis is laid on the case of an infinite strip, which admits a closed form solution.
A cosine change of the modulus of elasticity is treated, furnishing the solution for arbitrary variation in the form of a Fourier s expansion. Finite element analysis is subsequently performed for investigating the scope of validity of the analytical solution. The results for a set of finite changes of the elastic modulus are compared with the analytical predictions, and a remarkably wide range of validity is demonstrated. The properties and possible applications of these functions are examined.