Curable Composition Droplet Simulation for Film Formation
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Solution Overview
Problem
Current film forming techniques require significant time and cost to adjust droplet arrangement and mold pressing conditions to achieve uniform film thickness and prevent bubbles, making it inefficient to simulate the behavior of curable compositions during film formation.
Innovation Solution
A simulation method that defines the contour of each droplet using a representative point and calculates the distance to the contour, matching the inner area of the droplet with its volume and the distance between the mold and substrate, allowing for efficient prediction of droplet behavior and bubble formation without solving simultaneous equations for flow.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If small analysis cells are used to accurately calculate droplet behavior, then calculation precision is improved, but calculation time becomes excessively long
Solution Approach 1:
The patent segments the droplet representation into discrete components: a representative point (center), a contour (perimeter), and radial distance parameters. This segmentation allows the complex continuous droplet shape to be represented by a finite set of parameters, enabling accurate calculation without requiring excessively fine analysis cells throughout the entire domain.
Solution Approach 2:
The patent transitions from a two-dimensional analysis cell grid approach to a parameter-based representation in a different dimensional space. By defining droplets through representative points, contours, and radial distances, the system captures essential droplet characteristics without mapping every point to a fine grid, thus reducing computational dimensionality while maintaining precision.
2Measurement precision
If the entire wide region is simulated with small analysis cells, then measurement precision is improved, but device complexity increases
Solution Approach 1:
The patent extracts only the essential parameters needed to represent droplet behavior: representative point coordinates, contour geometry, and radial distance. By taking out only these critical parameters rather than simulating every detail of the entire region with fine cells, the system achieves measurement precision for droplet behavior while significantly reducing overall system complexity.
Solution Approach 2:
Instead of creating a detailed copy of the entire physical domain with small analysis cells, the patent creates a simplified mathematical model that copies only the essential droplet characteristics. This model uses representative points and contour parameters to represent droplets, providing accurate measurement without the complexity of a full fine-grained simulation.
3Manufacturing precision
If trial and error adjustment is performed using physical apparatus, then manufacturing precision is improved, but loss of time and cost increase
Solution Approach 1:
The patent creates a computational model that copies the essential physics of droplet spreading and merging without requiring physical trial and error. By representing droplets through representative points, contours, and radial distances, the simulation reproduces film formation behavior, allowing virtual adjustment of parameters to achieve uniform film thickness and prevent bubbles, thereby eliminating time-consuming physical experimentation.
Solution Approach 2:
The patent enables preliminary simulation and prediction of droplet behavior before physical film formation. By calculating droplet spreading, merging, and bubble formation in advance using the parameter-based model, the system identifies optimal processing conditions beforehand, eliminating the need for time-consuming trial and error adjustments during actual manufacturing.
Data Source
AI summary
The present invention provides a simulation method of predicting a behavior of a curable composition in a process of bringing a plurality of droplets of the curable composition arranged on a first member into contact with a second member and forming a film of the curable composition in a space between the first member and the second member, wherein for each of the plurality of droplets of the curable composition, a distance from a representative point of the droplet to a point on a contour of the droplet is obtained so as to match the area of the inner region of the contour to an area of the droplet obtained from a volume of the droplet and a distance between the first member and the second member in accordance with a change of the distance between the first member and the second member.