Crack Insertion in Deformed Mesh for Accurate Finite Element Simulation
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Solution Overview
Problem
Conventional finite element simulations insert cracks into an initial unloaded mesh, leading to inaccurate orientation and size due to differences between initial and deformed configurations, which affects the durability of manufactured products by failing to accurately simulate crack formation during deformation processes.
Innovation Solution
Inserting cracks into a deformed mesh during the deformation process, allowing for accurate simulation of crack behavior by mapping solution variables and equilibrating unbalanced forces without artificial damping, and adjusting design parameters to prevent failure.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If cracks are inserted into an initial unloaded mesh, then the simulation setup is simple, but the crack orientation and size become inaccurate due to differences between initial and deformed configurations
Solution Approach 1:
The patent applies preliminary action by performing a first deformation analysis to obtain a deformed mesh configuration before inserting the crack. This preliminary deformation step ensures that the crack is inserted into the correct deformed state rather than the initial unloaded state, thereby improving crack orientation and size accuracy while maintaining a relatively simple simulation setup
Solution Approach 2:
The patent implements dynamics by transitioning from a static initial mesh to a dynamic deformed mesh configuration. The simulation progresses through multiple stages: initial deformation analysis to obtain deformed configuration, crack insertion into the deformed mesh, and subsequent deformation analysis with the crack. This dynamic approach allows the mesh to adapt to the actual deformation state, improving measurement precision
2Measurement precision
If cracks are inserted into a deformed mesh during the deformation process, then crack simulation accuracy is improved, but the computational complexity and analysis steps increase
Solution Approach 1:
The patent applies segmentation by dividing the deformation analysis into distinct segments or stages: (1) first deformation analysis without crack to obtain deformed mesh, (2) crack insertion into the deformed mesh, (3) second deformation analysis with the inserted crack. This segmentation allows each stage to be handled separately with appropriate methods, improving accuracy while managing computational complexity through systematic breakdown of the problem
3Ease of operation
If conventional crack insertion methods are used in initial mesh, then the simulation process is straightforward, but the durability assessment becomes unreliable due to inaccurate crack formation simulation
Solution Approach 1:
The patent uses preliminary action by performing the first deformation analysis to obtain the deformed mesh configuration before crack insertion. This preliminary step ensures that the crack is inserted into the accurate deformed state, making the subsequent durability assessment reliable while keeping the overall process manageable through clear sequential steps
Data Source
AI summary
A deformed mesh representing an object during a deformation process is calculated. A new mesh comprising a crack to be inserted into the deformed mesh is determined. The new mesh comprising the crack is inserted into the deformed mesh to obtain a deformed mesh having the inserted new mesh during the deformation process. This may allow for the simulation of a physical process that may not otherwise be simulated.