In this paper we give lower bounds for the spatial decay of the solutions for anti-plane shear deformations in the case of
isotropic inhomogeneous elastic materials. We first consider the case when the shear modulus only depends on the lateral
direction. By means of the logarithmic convexity arguments we obtain the required estimates. Some pictures illustrate
our results. We also study the general inhomogeneity. We give some lower bounds whenever shear modulus
satisfies several requirements.
Leseduarte, M. C.; Quintanilla, R. Lower bounds of end effects for a nonhomogeneous isotropic linear elastic solid in anti-plane shear. "Mathematics and mechanics of solids", 01 Febrer 2015, vol. 20, núm. 2, p. 140-156.