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