김경종
86 lines
4.1 KiB
Markdown
86 lines
4.1 KiB
Markdown
---
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type: source
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title: "On the Finite Element Analysis of Shell Structures"
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source_type: paper
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authors:
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- "Phill-Seung Lee"
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- "Hyuk-Chun Noh"
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date_published: 2007
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created: 2026-05-28
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updated: 2026-05-28
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address: c-000040
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aliases:
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- "쉘구조물의 유한요소해석에 대하여"
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- "Finite Element Analysis of Shell Structures"
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tags:
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- source
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- finite-element-method
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- shell-elements
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- locking
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- benchmark
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status: current
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confidence: medium
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raw_path: ".raw/쉘구조물의유한요소해석에대하여/"
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source_files:
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markdown_files: 2
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image_files: 78
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related:
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- "[[Phill-Seung Lee]]"
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- "[[Hyuk-Chun Noh]]"
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- "[[Basic Shell Mathematical Model]]"
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- "[[Shell Structure Asymptotic Behavior]]"
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- "[[Shell Locking Phenomenon]]"
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- "[[Uniform Optimal Convergence]]"
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- "[[Shell Element Benchmark Testing]]"
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- "[[MITC4 Shell Element]]"
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---
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# On the Finite Element Analysis of Shell Structures
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## Summary
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This paper is a Korean review of finite element analysis for shell structures. It connects three layers that must be understood together: physical shell behavior, the [[Basic Shell Mathematical Model]], and finite element discretization. The paper focuses on thin-shell difficulty: as thickness decreases, shell problems split into bending-dominated, membrane-dominated, and mixed-dominated asymptotic behavior, and unreliable elements show [[Shell Locking Phenomenon]] in convergence curves.
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The local source is a converted Markdown/image extraction: two Markdown files and 78 extracted images under `.raw/쉘구조물의유한요소해석에대하여/`.
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## Coverage Map
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| Section | Topic |
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|---|---|
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| Abstract and 1 | Why shell finite element analysis needs integrated physical, mathematical, and numerical understanding |
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| 2 | [[Basic Shell Mathematical Model]] from midsurface geometry, covariant bases, director kinematics, and variational equations |
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| 3 | [[Shell Structure Asymptotic Behavior]] under decreasing thickness and load scaling |
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| 4 | [[Shell Locking Phenomenon]], S-norm error measurement, and convergence curves |
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| 5 | [[Uniform Optimal Convergence]], ideal shell element requirements, MITC/ANS/EAS remedies, and consistency/ellipticity tradeoffs |
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| 5.3 | [[Shell Element Benchmark Testing]] using basic tests, S-norm, layers, Gaussian curvature, asymptotic classes, and mesh patterns |
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| 6 | Conclusion that shell mathematical models and asymptotic behavior are prerequisites for reliable shell FE interpretation |
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## Key Takeaways
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- Shell FE reliability is not only an implementation issue; it depends on matching physical behavior, shell mathematical model, and discretization.
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- The basic shell model captures bending, membrane, transverse shear, and coupling terms and is the mathematical model beneath continuum-mechanics-based shell finite elements.
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- The load scaling factor `rho` classifies thin-shell behavior: membrane-dominated near `1`, bending-dominated near `3`, and mixed-dominated between them.
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- Locking appears as thickness-dependent loss of convergence and artificial stiffness, especially for displacement-based shell elements in bending or mixed-dominated problems.
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- MITC-style mixed interpolation is presented as a strong locking remedy, but the paper emphasizes the balance between locking control, consistency, and ellipticity.
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- Shell element benchmarking should include basic tests, global error norms, asymptotic behavior classes, Gaussian curvature, layer behavior, and mesh distortion sensitivity.
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## Entities Mentioned
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- [[Phill-Seung Lee]] - author.
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- [[Hyuk-Chun Noh]] - author.
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- [[Klaus-Jurgen Bathe]] - thanked and repeatedly cited as a core shell finite element source.
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## Concepts Introduced
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- [[Basic Shell Mathematical Model]]
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- [[Shell Structure Asymptotic Behavior]]
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- [[Shell Locking Phenomenon]]
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- [[Uniform Optimal Convergence]]
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- [[Shell Element Benchmark Testing]]
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## Source Notes
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- Source path: `.raw/쉘구조물의유한요소해석에대하여/`
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- Composite source hash recorded in `.raw/.manifest.json`.
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- The converted Markdown contains OCR and encoding artifacts, but the title, authors, abstract, section structure, equations, tables, and conclusions are usable.
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