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On Small-Displacement Waves in Prestressed Bodies with Isotropic Incremental Elasticity Tensor

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Abstract

We consider a body at rest in a prestressed configurationκwhich responds elastically to small incremental displacements fromκthe incremental elasticity tensor is supposed isotropic. On the basis of the paper [1] we characterize the conditions for the propagation of longitudinal, transverse, and oblique small-displacement waves superimposed toκFormulae for the propagation speeds of these waves are written in terms of the prestress components and Lamparameters. The amplitudes of longitudinal and transverse waves are eigenvectors for the prestress.

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References

  1. Montanaro, A., ‘An analysis of the propagation condition for small-displacement waves in prestressed bodies,’ Int. J. Non-Linear Mech. (in print).

  2. Man, Chi-Sing and Lu, W.Y., ‘Towards an acoustoelastic theory for measurement of residual stress,’ J. Elasticity, 17(1987) 159–182.

    Google Scholar 

  3. Hoger, Anne, ‘On the determination of residual stress in an elastic body,’ J. Elasticity, 16(1986) 303–324.

    Google Scholar 

  4. Sburlati, R., ‘On universal solutions in intially stressed bodies,’ J. Elasticity, 27(1992) 85–96.

    Google Scholar 

  5. Wineman, A.S., Rajagopal, K.R. and Neghban, M., ‘Changes in material symmetry associated with deformation: uniaxial extension,’ Int. J. Engng. Sci., 26(1988) 1307–1318.

    Google Scholar 

  6. Truesdell, C. and Noll, W., ‘The non-linear field theories of mechanics,’ Encyclopedia of Physics, Vol. III/3, Mechanics of Solids, Springer-Verlag, Berlin, 1965.

    Google Scholar 

  7. Truesdell, C., The Elements of Continuum Mechanics, Springer-Verlag, Berlin, 1966.

    Google Scholar 

  8. Gurtin, M.E., ‘The linear theory of elasticity,’ Encyclopedia of Physics, Vol. VIa/2, Mechanics of Solids, Springer-Verlag, Berlin, 1972.

    Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit di Padova, via Belzoni 7, 35131, Padova, Italy

    A. Montanaro

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  1. A. Montanaro
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Montanaro, A. On Small-Displacement Waves in Prestressed Bodies with Isotropic Incremental Elasticity Tensor. Meccanica 32, 505–514 (1997). https://doi.org/10.1023/A:1004238416907

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  • DOI: https://doi.org/10.1023/A:1004238416907

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