2.7 Elliptic Membrane

Benchmark Problem

Elliptic Membrane

Purpose

This benchmark is used to verify the numerical implementation, modeling workflow, boundary conditions, loading definition, solver behavior, and post-processing accuracy for the corresponding structural, shell, membrane, plate, beam, or thermo-mechanical problem class.

Model Description

Document the geometry, coordinate system, idealization, element type, and benchmark-specific assumptions used for this case.

Material Properties

List all material properties required for the benchmark, including elastic, thermal, density, or shell-specific properties as applicable.

Boundary Conditions

Define all displacement, symmetry, support, edge, point, pressure, gravity, temperature, or coupled boundary conditions required for the benchmark.

Loading Conditions

Describe the applied load, its direction, distribution, magnitude, and reference coordinate system.

Mesh Details

Document the element type, mesh density, refinement regions, and any mesh convergence requirements.

Solver Settings

Specify the analysis type, solver method, convergence tolerance, and any benchmark-specific numerical settings.

Expected Results

Record the primary quantities to compare against reference results, such as displacement, stress, strain, reaction force, pressure response, or temperature field.

Validation and Error Check

Compare numerical results against analytical, published, or reference benchmark values. Report percentage error and note whether the result satisfies the acceptance criterion.