Continuous Dependence on Base Data in an Elastic Prismatic Cylinder |
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Authors: | RJ Knops LE Payne |
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Institution: | (1) Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland, UK;(2) Department of Mathematics, Cornell University, Ithaca, NY, 14853, U.S.A. |
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Abstract: | 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.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | linear elasticity continuous dependence on base geometry and data decay behaviour |
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