Mesh-Based Simulation Using Material Property Correction
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Solution Overview
Problem
Existing computer-based simulation methods for real-world objects using mesh-based models are computationally expensive and time-consuming due to the need for small mesh sizes to maintain accuracy, leading to prohibitive costs and simulation times, especially in applications like conceptual design and crash simulations.
Innovation Solution
Modify material property measurements as a function of mesh geometric properties to allow larger mesh sizes, using machine learning to determine relationships between mesh geometry and material properties, thereby reducing computational time without sacrificing accuracy.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If small mesh sizes are used to maintain simulation accuracy, then measurement precision is improved, but computational time and cost increase significantly
Solution Approach 1:
The patent changes the material property parameters as a function of mesh geometric properties (such as element size, shape, and orientation). By dynamically adjusting material properties like stiffness, strength, or viscosity based on the mesh characteristics, the simulation can use coarser meshes while maintaining accuracy. This resolves the contradiction by allowing larger mesh sizes (reducing computational time) while compensating for the reduced resolution through parameter adjustments that preserve measurement precision.
2Manufacturing precision
If small mesh sizes are used to maintain simulation accuracy, then manufacturing precision is improved, but device complexity increases
Solution Approach 1:
The patent modifies material property parameters based on mesh geometric properties to compensate for discretization errors. This allows the use of simpler, coarser meshes (reducing device complexity) while maintaining manufacturing precision through the adaptive material property adjustments. The system effectively trades mesh complexity for parameter adjustment complexity, achieving the same accuracy with simpler computational models.
3Productivity
If larger mesh sizes are used to reduce computational time, then productivity is improved, but measurement precision deteriorates
Solution Approach 1:
The patent applies material property corrections that are functions of mesh geometric properties. When using larger meshes (improving productivity), the system automatically adjusts material parameters to compensate for the increased discretization error. This allows coarser meshes to achieve the same measurement precision as fine meshes would provide naturally, thus maintaining accuracy while improving simulation speed.
Solution Approach 2:
The patent incorporates feedback mechanisms where the mesh geometric properties are used to adjust material properties dynamically during the simulation. This feedback loop ensures that the simulation accuracy is maintained regardless of mesh size, allowing the system to use larger meshes for faster computation while the feedback correction maintains the required measurement precision.
Data Source
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AI summary
A method and system for performing computer-based simulations of real-world objects. A mesh-based model representing a real-world object and composed of a plurality of mesh elements each having geometric properties is obtained. A simulation of physical behavior of the real-world object is performed using the mesh-based model. Performing the simulation includes, for at least one mesh element, modifying as a function of the geometric properties, material properties used to determine the physical behavior.