Geodesic
A simplified numerical method to determine the shear stress relaxation time parameters by the example of polymers
Numerical methods and programming, Tome 18 (2017) no. 2, pp. 146-157

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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. 
@article{VMP_2017_18_2_a4,
     author = {M. S. Voronin},
     title = {A simplified numerical method to determine the shear stress relaxation time parameters by the example of polymers},
     journal = {Numerical methods and programming},
     pages = {146--157},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2017_18_2_a4/}
}
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M. S. Voronin. A simplified numerical method to determine the shear stress relaxation time parameters by the example of polymers. Numerical methods and programming, Tome 18 (2017) no. 2, pp. 146-157. http://geodesic.mathdoc.fr/item/VMP_2017_18_2_a4/