Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two

Abstract

We establish upper bounds on the blow-up rate of the gradients of solutions of the Lamé system with partially infinite coefficients in dimensions greater than two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.

35 pages. arXiv admin note: text overlap with arXiv:1311.1278

Cited by in corpus (3)

• Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity
• Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients
• A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites