Abstract
AbstractA first‐order, nonlinear, one‐dimensional theory of viscoelasticity is constructed by use of an elementary perturbation technique. It is based on applying some simple hypotheses of nonlinearity to single nonlinear Maxwell and Voigt models. The response of the Maxwell model to a sinusoidally applied strain is governed by a nonlinear complex modulus whose nonlinear part is given as a function of applied strain and strain rate as well as external frequency and internal or model parameters. This is a nonlinear relaxation effect. A nonlinear creep effect is obtained by describing the nonlinear response of the Voigt model to a sinusoidally applied stress in terms of a nonlinear complex compliance.
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