Characterization of a Carbon Fiber-Reinforced Polymer by a Probabilistic Simulation Approach Using Micromechanical Modeling
摘要
The approach for describing the stochastic material behavior of a carbon fiber-reinforced polymer (CFRP) with an advanced micro-mechanical material model was developed using probabilistic simulation methods to reduce the experimental effort and improve the simulation-based digital verification process. Based on the scattering of the micromechanical input parameters, a data set is generated to perform analytical Monte-Carlo (MC) simulations. With this approach, the scattering of the linear material properties of a single unidirectional (UD) CFRP layer and multilayered laminates were calculated and compared to experimental data from standard coupon tests. The micromechanical material model used is implemented in ANSYS using a user-defined material model (USERMAT) to perform numerical MC simulation. Analytical and numerical results were compared to experimental results of a manufactured multidirectional (MD) laminate. The method presented suggests that with increasing number of layers the scattering of the global macroscopic material parameter of a laminate decreases. It was shown that for a probabilistic approach it is crucial to consider the real layup of experimental specimens even though for most deterministic micromechanical approaches only a single representative volume element (RVE) is considered. The calculation results proved that the approach is suited to calculate the mean values and standard deviations of most linear material parameter for the studied CFRP. The work contributes to show how the currently deterministic material qualification in the verification of aerospace components can be supported by a simulation-based digital verification and reduce the material tests required for the determination of reliable stochastic values leading to considerable cost and time savings.