This paper presents a study on the stress-strain simulation of offshore mooring fibers using the Modified Yeoh model. It incorporates the mathematical descriptions (linear, quadratic, cubic, and exponential), also examining the dependence on the strain invariants (I1 and I2), thus aiming to improve the accuracy of the numerical description of the constitutive behavior of the fibers. The research methodology includes computational simulations validated by experimental data, focusing on the mathematical construction based on the Modified Yeoh model for representing the constitutive behavior in mechanical hysteresis (loading-unloading), addressing two fibers: high modulus polyethylene (HMPE) and polyester (PET). The simulation results demonstrate the models' ability to describe the stress-strain behavior, but it is clear that a description solely through I2 is not sufficient for the convergence of the simulation with the experimental data. For the mathematical models, the linear term dependent on I1 (principal strains) is the most important for the good fitting of experimental data. The smallest error concerning the simulations is obtained for a model with a complete mathematical description and dependence on both invariants, presenting an average error of 0.52% for HMPE and 1.77% for PET. This work provides a framework for simulating and understanding the mechanical responses of mooring fibers in mechanical hysteresis, highlighting the relevance of the mathematical model and invariant dependence coupled with numerical simulation.
Cruz et al. (Fri,) studied this question.