Knops, R. J.; Payne, L. E. Continuous dependence on base data in an elastic prismatic cylinder. (English) Zbl 1034.74007 J. Elasticity 64, No. 2-3, 179-190 (2001). Summary: This paper establishes the continuous dependence of the displacement on the base geometry and load of the decay behaviour in a prismatic semi-infinite cylinder occupied by an anisotropic homogeneous linear elastic material. The cylinder is in equilibrium under zero body-force, zero displacement on the lateral boundary, and pointwise specified displacement on the base. A differential inequality is derived which on integration leads to an inequality in terms of the perturbation of the base geometry and differences in the base displacement. Continuous dependence is an immediate consequence. Cited in 1 Document MSC: 74B05 Classical linear elasticity 35Q72 Other PDE from mechanics (MSC2000) 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs Keywords:decay behaviour; anisotropic homogeneous linear elastic material; differential inequality PDFBibTeX XMLCite \textit{R. J. Knops} and \textit{L. E. Payne}, J. Elasticity 64, No. 2--3, 179--190 (2001; Zbl 1034.74007) Full Text: DOI