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3.2 KiB
type, title, source_type, authors, doi, container, created, updated, address, aliases, tags, status, confidence, raw_path, source_files, related
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| source | Four-Node Quadrilateral Shell Element MITC4 | paper |
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10.4028/www.scientific.net/AMM.825.99 | Applied Mechanics and Materials | 2026-05-28 | 2026-05-28 | c-000022 |
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current | high | .raw/FourNodeQuadrilateralShellElementMITC4/ |
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Four-Node Quadrilateral Shell Element MITC4
Summary
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.
The local source is a converted Markdown/image extraction: one Markdown file and 21 extracted images under .raw/FourNodeQuadrilateralShellElementMITC4/.
Key Contributions
- 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.
- It identifies shear locking as the key weakness of direct low-order shell interpolation for thin shells.
- It uses assumed transverse shear strain components evaluated from edge-midpoint tying locations to construct a locking-resistant MITC strain field.
- It describes implementation in OOFEM and reports patch-test verification for pure bending, pure shear, pure twist, and three membrane stress states.
- 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.
Concepts Introduced
Links To Existing Wiki
- Continuum Mechanics Based Four-Node Shell Element is the parent shell formulation lineage.
- Assumed Transverse Shear Strain Interpolation captures the locking remedy also used by MITC4.
- Finite Element Program Implementation connects the formulation to practical implementation in a finite element code.
- Isoparametric Finite Elements supplies the quadrilateral mapping and element-matrix framework.
Entities Mentioned
Source Notes
- Source path:
.raw/FourNodeQuadrilateralShellElementMITC4/ - Composite source hash recorded in
.raw/.manifest.json. - The source extraction contains encoding artifacts in author names and Czech text. Derived pages normalize names to ASCII transliterations.