Equivalence Theorems on the Propagation of Small-Amplitude Waves in Prestressed Linearly Elastic Materials with Internal Constraints |
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Authors: | A. Montanaro |
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Affiliation: | (1) Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, via Belzoni 7 Padova, Italy. E-mail |
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Abstract: | By extending the procedure of linearization for constrained elastic materials in the papers by Marlow and Chadwick et al., we set up a linearized theory of constrained materials with initial stress (not necessarily based on a nonlinear theory). The conditions of propagation are characterized for small-displacement waves that may be either of discontinuity type of any given order or, in the homogeneous case, plane progressive. We see that, just as in the unconstrained case, the laws of propagation of discontinuity waves are the same as those of progressive waves. Waves are classified as mixed, kinematic, or ghost. Then we prove that the analogues of Truesdell"s two equivalence theorems on wave propagation in finite elasticity hold for each type of wave. This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | wave propagation plane progressive waves discontinuity waves linear stress law prestress internal constraints |
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