59 lines
2.3 KiB
Markdown
59 lines
2.3 KiB
Markdown
---
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type: concept
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title: "Shell Element Benchmark Testing"
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complexity: advanced
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domain: computational-mechanics
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aliases:
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- shell benchmark testing
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- shell element performance testing
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- shell finite element benchmarks
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created: 2026-05-28
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updated: 2026-05-28
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address: c-000047
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tags:
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- concept
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- finite-element-method
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- shell-elements
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- benchmark
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status: current
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related:
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- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
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- "[[Scordelis-Lo Shell Benchmark]]"
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- "[[Shell Locking Phenomenon]]"
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- "[[Uniform Optimal Convergence]]"
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- "[[MITC4 Shell Element]]"
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sources:
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- "[[On-the-Finite-Element-Analysis-of-Shell-Structures]]"
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---
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# Shell Element Benchmark Testing
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## Definition
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Shell element benchmark testing is the structured evaluation of shell finite elements across basic element checks, convergence measures, shell geometries, asymptotic behavior classes, and mesh patterns.
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## How It Works
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The source argues that shell element performance should not be judged only from a displacement at one point. A useful test set should include zero-energy mode checks, membrane and bending patch tests, isotropy checks for triangular elements, convergence curves, and global error measures such as S-norm.
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The test problems should also vary the shell's Gaussian curvature, thickness, layer behavior, asymptotic behavior, and element mesh shape. This exposes whether the element is only tuned for a narrow problem class or is robust enough for design analysis.
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## Benchmark Dimensions
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- Basic element checks: zero-energy modes, patch tests, and element isotropy.
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- Geometry: positive, zero, and negative Gaussian curvature.
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- Asymptotic behavior: bending-dominated, membrane-dominated, and mixed-dominated shell problems.
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- Error view: global error norms and field distributions, not only one output point.
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- Mesh sensitivity: element distortion, anisotropic meshes, and orientation effects.
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## Connections
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- [[Scordelis-Lo Shell Benchmark]] is one important benchmark in this family.
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- [[Shell Locking Phenomenon]] is a primary failure mode benchmark tests should reveal.
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- [[Uniform Optimal Convergence]] is the performance target.
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- [[MITC4 Shell Element]] uses benchmark evidence to support its practical reliability.
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## Sources
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- [[On-the-Finite-Element-Analysis-of-Shell-Structures]]
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