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+---
+type: source
+title: "Four-Node Quadrilateral Shell Element MITC4"
+source_type: paper
+authors:
+  - "Edita Dvorakova"
+  - "Borek Patzak"
+doi: "10.4028/www.scientific.net/AMM.825.99"
+container: "Applied Mechanics and Materials"
+created: 2026-05-28
+updated: 2026-05-28
+address: c-000022
+aliases:
+  - FourNodeQuadrilateralShellElementMITC4
+  - MITC4 paper
+  - Four-Node Quadrilateral Shell Element MITC4
+tags:
+  - source
+  - finite-element-method
+  - shell-elements
+  - mitc
+  - implementation
+status: current
+confidence: high
+raw_path: ".raw/FourNodeQuadrilateralShellElementMITC4/"
+source_files:
+  markdown_files: 1
+  image_files: 21
+related:
+  - "[[Edita Dvorakova]]"
+  - "[[Borek Patzak]]"
+  - "[[OOFEM]]"
+  - "[[MITC4 Shell Element]]"
+  - "[[Scordelis-Lo Shell Benchmark]]"
+  - "[[Continuum Mechanics Based Four-Node Shell Element]]"
+  - "[[Assumed Transverse Shear Strain Interpolation]]"
+---
+
+# 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
+
+- [[MITC4 Shell Element]]
+- [[Scordelis-Lo Shell Benchmark]]
+
+## 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
+
+- [[Edita Dvorakova]]
+- [[Borek Patzak]]
+- [[OOFEM]]
+- [[Klaus-Jurgen Bathe]]
+- [[Eduardo N. Dvorkin]]
+
+## 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.