scholarly journals Mechanical response of beams of a nonlinear viscoelastic material

1995 ◽  
Vol 35 (4) ◽  
pp. 345-350 ◽  
Author(s):  
Alan Wineman ◽  
Raymond Kolberg
1974 ◽  
Vol 41 (1) ◽  
pp. 111-116 ◽  
Author(s):  
T. R. Blake ◽  
J. F. Wilson

A numerical study of plane longitudinal waves in a nonlinear viscoelastic material is presented. The constitutive relationship and the conservation equations, in Lagrangian form, are formulated in an explicit first-order finite-difference manner. The mechanical behavior of the material is described by means of state and orientation variables and the associated differential equations. With the use of the numerical procedure we model wave-propagation experiments in polymethyl methacrylate and derive a constitutive relationship for that material. We then use this constitutive equation in a numerical study of the evolution of steady-state waves and we show that the time for the formation of these waves is inversely proportional to magnitude of the imposed velocity.


1971 ◽  
Vol 38 (3) ◽  
pp. 641-645 ◽  
Author(s):  
K. W. Schuler ◽  
E. K. Walsh

In a recent analysis, Chen and Gurtin have shown that whether a shock wave in a nonlinear viscoelastic material will grow, decay, or remain steady is directly related to whether the acceleration just behind the wave is greater than, less than, or equal to a certain critical acceleration. In this paper, we use the experimental results of Schuler and Barker to determine this critical-induced acceleration as a function of the strain behind the shock for polymethyl methacrylate.


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