김경종
80 lines
3.2 KiB
Markdown
80 lines
3.2 KiB
Markdown
---
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type: source
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title: "Four-Node Quadrilateral Shell Element MITC4"
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source_type: paper
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authors:
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- "Edita Dvorakova"
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- "Borek Patzak"
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doi: "10.4028/www.scientific.net/AMM.825.99"
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container: "Applied Mechanics and Materials"
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created: 2026-05-28
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updated: 2026-05-28
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address: c-000022
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aliases:
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- FourNodeQuadrilateralShellElementMITC4
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- MITC4 paper
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- Four-Node Quadrilateral Shell Element MITC4
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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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- mitc
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- implementation
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status: current
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confidence: high
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raw_path: ".raw/FourNodeQuadrilateralShellElementMITC4/"
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source_files:
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markdown_files: 1
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image_files: 21
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related:
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- "[[Edita Dvorakova]]"
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- "[[Borek Patzak]]"
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- "[[OOFEM]]"
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- "[[MITC4 Shell Element]]"
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- "[[Scordelis-Lo Shell Benchmark]]"
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- "[[Continuum Mechanics Based Four-Node Shell Element]]"
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- "[[Assumed Transverse Shear Strain Interpolation]]"
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---
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# Four-Node Quadrilateral Shell Element MITC4
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## Summary
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This paper presents a four-node quadrilateral MITC4 shell element applicable to both thick and thin shells. The formulation starts from a three-dimensional continuum description degenerated to shell behavior, follows the Dvorkin-Bathe four-node shell element lineage, and uses MITC, Mixed Interpolation of Tensorial Components, to overcome transverse shear locking in thin shell analysis.
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The local source is a converted Markdown/image extraction: one Markdown file and 21 extracted images under `.raw/FourNodeQuadrilateralShellElementMITC4/`.
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## Key Contributions
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- The source explains the MITC4 geometry and displacement interpolation using four shell vertices, director vectors, three translational degrees of freedom, and two rotational degrees of freedom per node.
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- It identifies shear locking as the key weakness of direct low-order shell interpolation for thin shells.
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- It uses assumed transverse shear strain components evaluated from edge-midpoint tying locations to construct a locking-resistant MITC strain field.
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- It describes implementation in [[OOFEM]] and reports patch-test verification for pure bending, pure shear, pure twist, and three membrane stress states.
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- It validates the implementation with the [[Scordelis-Lo Shell Benchmark]], where MITC4 converges close to the reference displacement and performs competitively against an RDKT reference element.
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## Concepts Introduced
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- [[MITC4 Shell Element]]
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- [[Scordelis-Lo Shell Benchmark]]
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## Links To Existing Wiki
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- [[Continuum Mechanics Based Four-Node Shell Element]] is the parent shell formulation lineage.
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- [[Assumed Transverse Shear Strain Interpolation]] captures the locking remedy also used by MITC4.
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- [[Finite Element Program Implementation]] connects the formulation to practical implementation in a finite element code.
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- [[Isoparametric Finite Elements]] supplies the quadrilateral mapping and element-matrix framework.
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## Entities Mentioned
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- [[Edita Dvorakova]]
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- [[Borek Patzak]]
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- [[OOFEM]]
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- [[Klaus-Jurgen Bathe]]
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- [[Eduardo N. Dvorkin]]
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## Source Notes
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- Source path: `.raw/FourNodeQuadrilateralShellElementMITC4/`
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- Composite source hash recorded in `.raw/.manifest.json`.
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- The source extraction contains encoding artifacts in author names and Czech text. Derived pages normalize names to ASCII transliterations.
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