A method is presented in which the axial viscoelastic response of a simple strand may be predicted given the stress relaxation of the filament's construction material. This approach utilizes the Schapery collocation method to determine the coefficients for the elements of a Wiechert model. The geometric effects of the strand are then combined with the analytical solution for the Wiechert model to develop a system of convolution integrals which satisfy the equilibrium and boundary conditions for the strand construction. The solutions for these integrals are approximated numerically using a modified Newton's iterative method combined with a numerical technique developed by Lee and Rogers. © 1992.
Conway, T. A., & Costello, G. A. (1993). Viscoelastic response of a simple strand. International Journal of Solids and Structures, 30(4), 553–567. https://doi.org/10.1016/0020-7683(93)90187-C