Multilayer Laminate Property Prediction via Layer Stiffness Matrices
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Solution Overview
Problem
Current methods for predicting the physical properties of multilayer materials, such as elastic moduli, shear moduli, and Poisson's ratios, are inadequate for robust material design as they do not effectively account for anisotropic properties in machine and transverse directions, and fail to accurately determine the homogenized stiffness and thickness of undetermined layers in multilayer films.
Innovation Solution
A system and method that inputs physical properties of each layer, including elastic modulus, Poisson's ratio, shear modulus, thickness, and lamination angle, to calculate the entire laminate's properties, using compliance and stiffness matrices, and determines whether the calculated properties converge to target values, allowing for the extraction of undetermined layer properties.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If conventional methods are used to predict physical properties of multilayer materials, then the calculation process is simple, but the prediction accuracy for anisotropic properties and homogenized stiffness is insufficient
Solution Approach 1:
The patent segments the multilayer material into individual layers, calculating the stiffness matrix for each layer separately based on its specific physical properties (elastic modulus, Poisson's ratio, shear modulus) and thickness. Then, these layer-specific matrices are combined to obtain the overall laminate properties. This segmentation enables accurate prediction of anisotropic properties while maintaining computational feasibility through systematic processing of each layer independently.
Solution Approach 2:
The patent employs composite material theory by calculating the stiffness matrix for each layer using its specific material properties, then combining these to predict the overall physical properties of the multilayer laminate. This approach accurately captures the anisotropic behavior and homogenized stiffness of composite structures, resolving the contradiction between prediction accuracy and calculation complexity.
2Loss of information
If only homogenized stiffness of the entire laminate is calculated, then the calculation is straightforward, but the thickness of undetermined layers cannot be extracted
Solution Approach 1:
The patent implements a feedback mechanism where the calculated physical properties of the laminate are compared with target values, and the thickness of undetermined layers is adjusted iteratively until convergence is achieved. This feedback loop enables extraction of undetermined layer thicknesses while maintaining calculation tractability through systematic optimization.
Solution Approach 2:
The patent changes the parameter approach by treating the thickness of undetermined layers as variable parameters that can be extracted through calculation. By formulating the problem to solve for these unknown thickness parameters alongside the homogenized stiffness calculation, the patent recovers complete information without excessive computational complexity.
3Measurement precision
If material properties are treated as isotropic, then the calculation is simplified, but the anisotropic properties in machine and transverse directions are not accurately captured
Solution Approach 1:
The patent applies local quality by assigning specific material properties (elastic modulus, Poisson's ratio, shear modulus) to each layer according to its actual anisotropic characteristics. Instead of treating the entire laminate as isotropic, each layer's unique properties are captured and used in the stiffness matrix calculation, enabling accurate prediction of directional properties while maintaining systematic calculation through the layer-by-layer approach.
Data Source
AI summary
A system and method for predicting physical properties such as elastic moduli, shear moduli, and Poisson's ratios (Poisson's ratio) of an entire laminate are provided. The system and method can determine not only homogenized stiffness of the entire laminate of the multilayer material but also physical property values or a thickness of an undetermined layer, when developing a multilayer material having a laminated structure.