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Nonholonomic Geometry of Viscoanelastic Media and Experimental Confirmation

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  • Armando Ciancio
  • Carlo Cattani

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).

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  • Armando Ciancio & Carlo Cattani, 2013. "Nonholonomic Geometry of Viscoanelastic Media and Experimental Confirmation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, November.
    • Handle: RePEc:hin:jnlmpe:524718
    DOI: 10.1155/2013/524718
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