Lower bounds of end effects for a non homogeneous isotropic linear elastic solid in anti-plane shear
نویسنده
چکیده
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. Last section studies the general inhomogeneity. We give some lower bounds whenever shear modulus satisfies several requirements.
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