Mindlin’s problem for an incompressible elastic half-space with an exponential variation in the linear elastic shear modulus

This paper examines the axisymmetric problem of the internal loading of an incompressible elastic half-space where the linear elastic shear modulus varies exponentially with depth. The mathematical formulation of the traction boundary value problem is developed through the application of integral transform techniques and numerical results are obtained from the integral transform technique. The numerical results obtained from the analytical approach are used to verify the accuracy of finite element results for the analogous problems.