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Nonholonomic geometry of viscoanelastic media and experimental confirmation - MaRDI portal

Nonholonomic geometry of viscoanelastic media and experimental confirmation (Q460051)

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scientific article; zbMATH DE number 6354349
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Nonholonomic geometry of viscoanelastic media and experimental confirmation
scientific article; zbMATH DE number 6354349

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    Nonholonomic geometry of viscoanelastic media and experimental confirmation (English)
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    13 October 2014
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    Summary: A thermodynamical model for viscoanelastic media is analyzed using the nonholonomic geometry. A 27-dimensional manifold is introduced, and the differential equations for the geodetics are determined and analytically solved. It is shown that, in this manifold, the best specific entropy is a harmonic function. In the linear case the propagation of transverse acoustic waves is studied, and the theoretical results are compared with some experimental data from a polymeric material (polyisobutylene).
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