AbstractIn order to evolve the methods of mechanical spectroscopy and find new methods of studying the rise of nonlinear viscoelasticity, periodic square and triangular stress functions have been used. A “new” viscoelastic function is defined, logJ2=g{logJ1}, whereJ1andJ2are the compliances at the time (ζ/2 + 2nζ)n→∞for an odd, periodic, square function and an even, periodic, triangular function, respectively, with periods of 2ζ. The function shows characteristic shapes for viscoelastic spring and dashpot models. The interrelations between the complex compliance andJ1andJ2are developed; and since the sum ofJ1andJ2at the time ζ/2 agrees very well with the creep compliance at the same time,J1andJ2can be used as an interrelation between complex compliance and creep compliance. Special equipment for measuring the compliancesJ1ndJ2i
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