MultiPhysicsVault/wiki/concepts/Scordelis-Lo Shell Benchmark.md

type, title, complexity, domain, aliases, created, updated, address, tags, status, related, sources, source_refs

type	title	complexity	domain	aliases	created	updated	address	tags	status	related	sources	source_refs
concept	Scordelis-Lo Shell Benchmark	intermediate	computational-mechanics	Scordelis-Lo shell cylindrical Scordelis-Lo shell Scordelis Lo roof	2026-05-28	2026-05-28	c-000024	concept finite-element-method shell-elements benchmark	current	On-the-Finite-Element-Analysis-of-Shell-Structures Shell Structure Asymptotic Behavior Shell Element Benchmark Testing Four-Node-Quadrilateral-Shell-Element-MITC4 MITC4 Shell Element Continuum Mechanics Based Four-Node Shell Element Static Equilibrium Equation Solvers	On-the-Finite-Element-Analysis-of-Shell-Structures Four-Node-Quadrilateral-Shell-Element-MITC4	source raw_path raw_files md_indices match confidence On-the-Finite-Element-Analysis-of-Shell-Structures .raw/쉘구조물의유한요소해석에대하여/ 쉘구조물의유한요소해석에대하여_002.md 쉘구조물의유한요소해석에대하여_001.md 2 1 heuristic-heading-keyword low source raw_path raw_files md_indices match confidence Four-Node-Quadrilateral-Shell-Element-MITC4 .raw/FourNodeQuadrilateralShellElementMITC4/ FourNodeQuadrilateralShellElementMITC4_001.md 1 heuristic-heading-keyword high

Scordelis-Lo Shell Benchmark

Definition

The Scordelis-Lo shell benchmark is a classical cylindrical shell problem used to evaluate shell finite elements under bending and membrane action.

How It Is Used

In the MITC4 source, the shell is loaded by dead weight and symmetry allows one quarter of the structure to be modeled. The response quantity is the displacement at point B, and mesh refinement is used to compare MITC4 convergence with an RDKT reference element and an analytical reference.

On-the-Finite-Element-Analysis-of-Shell-Structures uses the Scordelis-Lo roof shell as an asymptotic-behavior example. The paper identifies it as a mixed-dominated shell benchmark with an approximate load scaling factor of rho = 1.75, which makes it useful for exposing locking and non-uniform convergence.

Why It Matters

The benchmark is useful because shell elements must couple membrane and bending behavior without becoming artificially stiff. Poor shell formulations can pass simple tests yet converge slowly or incorrectly on this curved-shell problem.

Reported Trend

The source reports MITC4 displacement magnitudes converging from about 3.43 on a 4x4 quadrilateral mesh to about 3.61 on 32x32 and 64x64 meshes. The RDKT comparison converges to about 3.60 on the same refinement sequence.

Connections

• MITC4 Shell Element uses this benchmark as its primary performance demonstration.
• Continuum Mechanics Based Four-Node Shell Element includes the benchmark family in the broader Dvorkin-Bathe shell validation thread.

Sources

• Four-Node-Quadrilateral-Shell-Element-MITC4
• On-the-Finite-Element-Analysis-of-Shell-Structures