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Determining Parameters of Fractional–Exponential Heredity Kernels of Nonlinear Viscoelastic Materials
Summary
This paper addresses parameter determination for viscoelastic material models in engineering contexts, using polymer and glass-fiber-reinforced plastics as test materials in the mechanical sense. It does not address environmental microplastics or human health effects.
The problem of determining the parameters of fractional–exponential heredity kernels of nonlinear viscoelastic materials is solved. The methods for determining the parameters that are used in the cubic theory of viscoelasticity and the nonlinear theories based on the conditions of similarity of primary creep curves and isochronous creep diagrams are analyzed. The parameters of fractional–exponential heredity kernels are determined and experimentally validated for the oriented polypropylene, FM3001 and FM10001 nylon fibers, microplastics, TC 8/3-250 glass-reinforced plastic, SWAM glass-reinforced plastic, and contact molding glass-reinforced plastic.