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Dependence of linear elasticity solutions on the elastic constants

III. Elastodynamics

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Abstract

Necessary and sufficient conditions for the displacement and/or the stress to be independent of Poisson's ratio or the shear modulus or the mass density in the standard boundary-initial-value problems of three-dimensional classical elastodynamics are determined.

Résumé

On détermine des conditions nécessaires et suffisantes pour que les déplacements et (ou) les contraintes soient indépendants du coefficient de Poisson ou du module de rigidité ou du densité de masse dans les problémes classiques de l'élasticité tri-dimensionnelle dynamique.

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References

  1. Carlson D. E., Dependence of linear elasticity solutions on the elastic constants, I. Dependence on Poisson's ratio in elastostatics. Journal of Elasticity 1 (1971) 145–151.

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Authors
  1. Donald E. Carlson
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Additional information

Department of Theoretical and Applied Mechanics, University of Illinois at Urbana

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Carlson, D.E. Dependence of linear elasticity solutions on the elastic constants. J Elasticity 3, 169–178 (1973). https://doi.org/10.1007/BF00052891

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  • DOI: https://doi.org/10.1007/BF00052891

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