Viscoelastic response of a simple strand

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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.

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