On the use of acceleration waves to characterize the dynamic response of non‐linear viscoelastic materials

Abstract

We consider the analysis of data obtained in one-dimensional acceleration wave experiments on a non-linear viscoelastic material and discuss how such data can be used to characterize the dynamic response of the material. To begin, we review briefly the general theory of one-dimensional motions in viscoelastic materials and the methods employed to generate and observe acceleration waves in a material sample. We then discuss two methods of data analysis, a wave front analysis and a wave profile analysis, and indicate the type of information each analysis provides with regard to the dynamic properties of the material. Finally, using a known model for poly(methy1 methacrylate) in a finite-difference, Lagrangian wave-propagation code, we calculate a leration wave profiles at several locations in the sample and, treating these profiles as "experimental" data, we then illustrate how data from three or more acceleration wave experiments can be used to formulate a specific viscoelastic constitutive model for the material.

Mechanical strength model for plastic bonded granular materials at high strain rates and large strains

“…The waves that a r e generated a r e not s t e a d y and gradually decay with time or distance traveled, or depending on loading and material properties can get steeper. This behavior was extensively studied (1,2,3) more than a decade ago, particularly the possibility of generating steady acceleration waves. This behavior is quite different from that observed in elastic-plastic materials a s described in the detailed summary of Davison and Graham (4).…”