On Small-Displacement Waves in Prestressed Bodies with Isotropic Incremental Elasticity Tensor |
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Authors: | Montanaro A. |
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Affiliation: | (1) Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universit di Padova, via Belzoni 7, 35131 Padova, Italy |
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Abstract: | We consider a body at rest in a prestressed configurationwhich responds elastically to small incremental displacements fromthe 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 toFormulae 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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Keywords: | Elasticity Linear theory Residual stresses Waves motions in solids Mechanics of solids. |
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