CFRC Preform Shape via Inverse FEA Simulation
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Solution Overview
Problem
Current methods for manufacturing carbon fiber reinforced composite (CFRC) products rely on trial-and-error approaches and insufficient numerical simulations, failing to accurately predict structural behaviors and optimize fiber orientation, leading to inefficiencies in design and production cycles.
Innovation Solution
A system and method using finite element analysis (FEA) to create a 3-D mesh model of CFRC products, expanding it to a 2-D pre-forming shape through inverse numerical simulation, preserving desired fiber orientations and achieving force equilibrium, which allows for precise determination of fiber angles and prepreg configuration for physical manufacturing.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If trial-and-error methods are used to determine proper prepreg configuration, then manufacturing experience can be gained, but design and production cycle time increases significantly
Solution Approach 1:
The patent performs preliminary numerical simulations to determine the optimal prepreg configuration before actual manufacturing. The system calculates the required initial shape and fiber orientation of the pre-forming workpiece using finite element analysis, allowing engineers to plan the manufacturing process in advance without relying on time-consuming trial-and-error methods.
Solution Approach 2:
The patent creates a virtual model (first FEA mesh model) that replicates the physical CFRC product geometry and material properties. This digital twin is used to simulate and optimize the manufacturing process, allowing virtual testing and validation of different prepreg configurations before committing to physical production, thereby reducing actual trial-and-error cycles.
2Productivity
If simple material models are used for numerical simulations, then computational speed increases, but accuracy in predicting structural behaviors of CFRC decreases
Solution Approach 1:
The patent transforms the complex nonlinear material behavior of CFRC into an equivalent linear elastic model by carefully selecting and adjusting material parameters. The system determines equivalent elastic moduli that replicate the structural response of the actual nonlinear CFRC material under various loading conditions, allowing standard linear FEA tools to achieve accurate predictions without computational overhead of complex nonlinear models.
Solution Approach 2:
The patent treats CFRC as a composite material system with distinct fiber and matrix components, each having specific mechanical properties. By modeling the interaction between carbon fibers and binding matrix with appropriate constitutive equations, the system captures the anisotropic and nonlinear behavior of CFRC while maintaining computational efficiency through the equivalent linearization approach.
3Device complexity
If CFRC is treated as a single constitutive equation, then simulation complexity is reduced, but the ability to characterize mechanical behaviors of CFRC is insufficient
Solution Approach 1:
The patent divides the CFRC material into two distinct components: carbon fibers and binding matrix. Each component is assigned its own constitutive equation and material properties, allowing the simulation to capture the different mechanical behaviors of the fiber reinforcement and the polymer matrix. This segmented approach enables accurate representation of fiber-matrix interaction, load transfer mechanisms, and anisotropic properties.
Solution Approach 2:
Instead of directly modeling the complex nonlinear behavior of CFRC with complicated constitutive equations, the patent inverts the approach by determining equivalent linear material parameters that produce the same structural response. This inverse method simplifies the simulation while maintaining accuracy by working backwards from desired structural behavior to appropriate material model parameters.
Data Source
AI summary
First FEA mesh model representing 3-D geometry of a carbon fiber reinforced composite (CFRC) product/part, pre-forming fiber orientation and desired reference fiber direction at a particular location on the product/part are received. First FEA mesh model contains finite elements associated with respective material properties for carbon fibers and binding matrix. Pre-forming fiber orientation includes number of fibers and relative angles amongst the fibers. Pre-forming 2-D shape of a workpiece used for manufacturing the product/part is obtained by conducting a one-step inverse numerical simulation that numerically expands the first to a second FEA mesh model based on numerically-calculated structural behaviors according to respective material properties. Pre-forming fiber orientation is superimposed on the second FEA mesh model with the desired reference fiber direction being preserved. Relative angles amongst all of the fibers on the product/part are determined by correlating the superimposed fiber orientation of the second to the first FEA mesh model.