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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
Affiliation:
School of Mathematical and Computing Sciences, and Maxwell Institute of Mathematical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland, UK email: [email protected]
R. QUINTANILLA
Affiliation:
Matemática Aplicada 2, Universitat Politécnica de Catalunya, Colón, 11, Terrassa, Barcelona, Spain

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.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

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