Nonholonomic Geometry of Viscoanelastic Media and Experimental Confirmation

Armando Ciancio and Carlo Cattani

Mathematical Problems in Engineering, 2013, vol. 2013, 1-7

Abstract:

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).

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:524718

DOI: 10.1155/2013/524718

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