3D Woven Fiber Deformation Simulation via Orientation Vector Fields
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Solution Overview
Problem
Current methods struggle to accurately simulate the deformation of three-dimensional woven fiber materials due to their anisotropic structural properties, which differ from plain-woven fibers, making it difficult to predict their behavior in forming complex shapes.
Innovation Solution
A material shape simulation apparatus and method that generates a model shape orientation vector field on three-dimensional meshes, searches for gradient vectors to calculate the material shape orientation vector field, and updates the orientation vector field to preserve volume and prevent expansion or contraction of X-yarn and Y-yarn, accurately simulating the deformation of three-dimensional woven fiber materials.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional two-dimensional woven fabric simulation methods are used, then the simulation process is simple, but the simulation accuracy of three-dimensional woven fiber material deformation is insufficient
Solution Approach 1:
The patent transitions from two-dimensional woven fabric simulation to three-dimensional woven fiber material simulation by introducing the Z-direction binding yarns. The simulation model incorporates three-dimensional spatial coordinates and orientation vectors to represent the complex anisotropic structure of stacked and bound fabric sheets, enabling accurate deformation prediction in three-dimensional space.
Solution Approach 2:
The patent introduces specific parameters to characterize the three-dimensional woven structure, including orientation vectors for X-yarn, Y-yarn, and Z-yarn in respective directions, weave angles, and binding patterns. These parameters enable the simulation to account for the anisotropic mechanical properties and deformation behavior of three-dimensional woven materials.
2Manufacturing precision
If the anisotropic structural properties of three-dimensional woven fiber materials are considered, then the deformation simulation accuracy improves, but the computational complexity increases
Solution Approach 1:
The patent segments the three-dimensional woven fiber material into distinct structural components: X-yarn extending in the X-direction, Y-yarn extending in the Y-direction, and Z-yarn extending in the Z-direction for binding. Each yarn type is assigned specific orientation vectors and deformation characteristics, allowing the simulation to handle anisotropic properties through systematic segmentation of the complex material structure.
3Reliability
If volume preservation and non-expansion conditions are applied to X-yarn and Y-yarn, then the simulation realism improves, but the calculation requirements increase
Solution Approach 1:
The patent applies specific constraints as parameter conditions: volume preservation condition for the three-dimensional woven structure, and non-expansion conditions for X-yarn and Y-yarn in their respective directions. These parameter changes enforce physically realistic deformation behavior where the binding Z-yarn accommodates volume changes while the woven X-yarn and Y-yarn maintain their structural integrity without expansion.
Data Source
AI summary
A material shape simulation apparatus for simulating deformation of a three-dimensional woven fiber material is provided and includes: an orientation vector field generation unit generating a model shape orientation vector field on three-dimensional meshes of a model shape of a three-dimensional woven fiber material obtained by stacking sheets of two-dimensional woven fabric made of X-yarn and Y-yarn and binding them with Z-yarn; a parameterization unit that searches for a gradient vector for calculating a material shape orientation vector field, being an orientation vector field of a material shape before deformation of the model shape, from the model shape orientation vector field; and an orientation vector updating unit that updates the model shape orientation vector field by applying a condition of preserving a volume between the model shape orientation vector field and the material shape orientation vector field and a condition that neither the X-yarn nor the Y-yarn expands or contracts.