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Continuous dependence on elastic moduli in the motion of a semi-infinite elastic cylinder

Published online by Cambridge University Press:  02 March 2011

R. J. KNOPS  and
R. QUINTANILLA
R. J. KNOPS
Affiliation:
School of Mathematical and Computing Sciences, and Maxwell Institute of Mathematical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland, UK email: Ramon.Quintanilla@upc.edu
R. QUINTANILLA
Affiliation:
Matemática Aplicada 2, Universitat Politécnica de Catalunya, Colón, 11, Terrassa, Barcelona, Spain
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Abstract

Continuous dependence upon the elastic moduli of the total energy, and consequently in appropriate measure of the stress, strain and displacement, is established in the initial boundary value problem defined on a semi-infinite cylinder occupied by a linear anisotropic compressible elastic material. Free, constrained and mixed boundary conditions on the lateral surface of the cylinder are discussed. The conclusions are obtained using differential inequalities and partly depend upon previously published results.

Keywords

Linear elastodynamicsContinuous dependenceSemi-infinite cylinder
Type
Papers
Information
European Journal of Applied Mathematics , Volume 22 , Issue 4 , August 2011 , pp. 347 - 363
Copyright
Copyright © Cambridge University Press 2011

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References

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