An accurate modeling method for discrete elements of flexible fibers

Flexible fibers have a wide range of application scenarios, and the analysis of their modeling and mechanical properties is a crucial prerequisite for carrying out research on application scenarios. At present, there is a lack of systematic research on the accurate modeling method of flexible fibers. An accurate modeling method of flexible fibers is proposed based on the bead chain model with full consideration of the mechanical properties of flexible fibers. The flexible fiber model's microscopic parameters are calibrated and their relationship to the model's mechanical response is analyzed. First, the range of values of the microscopic parameters of the flexible fiber model is optimized by orthogonal experimental design to analyze the sensitivity of the microscopic parameters to the macroscopic mechanics. Second, through the sensitivity analysis results to determine the significant influence parameters of the macro-response of fiber mechanics, the response surface optimization analysis is used to establish the regression equation between the macro-mechanical parameters of flexible fibers and the significant influence parameters, and to obtain the optimal solution of the microscopic parameters. Finally, three-point bending and tensile simulation experiments and comparing the results with the actual experimental values, we find that the relative error between the simulated value of fiber bending modulus and the actual test value is 3.56%, and the relative error between the tensile simulation results and the actual test value is 6.83%. This validates the modeling method and provides a theoretical basis for further research on the the numerical simulation of flexible fiber application scenarios.