A relation is established between the heredity theory with time-invariant nonlinearity and fractional-exponential kernels and the Volterra-Fréchet theory for uniaxial tension. A constitutive equation is proposed for processes accompanied by decreasing strain. A procedure for determining the necessary material characteristics from creep and recovery data is considered.
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Rabotnov, Y.N., Papernik, L.K. & Stepanychev, E.I. Application of the nonlinear theory of heredity to the description of time effects in polymeric materials. Polymer Mechanics 7, 63–73 (1971). https://doi.org/10.1007/BF00856616
- Constitutive Equation
- Polymeric Material
- Time Effect
- Uniaxial Tension
- Material Characteristic