Generalised viscoelastic fibre at small strain

Abstract A straight elastic fibre is usually perceived as a one-dimensional structural component, and its similarity with cylindrical rod makes concept analogous, if not equivalent the of an spring. This analogy enables this communication to match response relevant viscoelastic that spring and, hence, describe behaviour in light new, generalised model. The model shares simultaneously properties inelastic damper (dashpot) interested on applicability at small strain only. However, form constitutive equation, which based combined action internal energy function viscous flow potential, non-linear well differential also, implicit stress. posteriori determination (i) manner parts are assembled observed total deformation, (ii) part stress creates recoverable work wasted dissipation, (iii) amount stored material dissipation during deformation. detailed analysis presented for case small-strain, steady deformation takes place spatially homogeneous manner. includes complete solution problem interest accompanied by adequate set corresponding qualitative numerical results.