On Determination of the Linear Viscoelastic Compliance and Relaxation Functions for Polymers in One Tensile Test

Usually, the viscoelastic (VE) response of polymers for applications in composites is obtained uniaxial strainor stress-controlled tests. However, analyzing multimaterial structures by Finite Element Method (FEM) or other numerical analytical tools, a material model terms complete set compliance functions and/or relaxation required. In this paper, methodology and exact expressions calculating whole VE presented based on modulus E(t)and Poisson’s ratio v (t) determined strain-controlled The method Laplace transforms, where an inversion possible if linear with Prony series used. Results are compared FEM simulation, specific boundary conditions to determine each particular function Finally, applicability so-called quasi-elastic investigated, elasticity theory used calculate given at instant time tk using values E(tk) v(tk). For isotropic materials, three approaches render almost coinciding results.