Nonholonomic Geometry of Viscoanelastic Media and Experimental Confirmation

Abstract EN

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).