A simplified numerical method to determine the shear stress relaxation time parameters by the example of polymers

M. S. Voronin

Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: A numerical method to determine the parameters of the shear stress relaxation time is discussed. This function is one of the constitutive equations of a Maxwellian viscoelastic model. The method is based on a simplification of the system of equations describing the deformation of a thin rod when this system is considered at the yield stress point. The method allows one to find the relaxation time parameters responsible for the yield stress description in a wide range of temperatures and strain rates. The numerical results obtained by the method are compared with experimental data for polymethylmethacrylate, polytetrafluoroethylene, and epoxy resin.

Keywords: Maxwellian model, shear stress relaxation, yield stress, stress-strain curves, polymethylmethacrylate, polytetrafluoroethylene, epoxy resin.

UDC: 539.3

Received: 03.03.2017