An elliptical membrane of constant thickness of 0.1 m with a uniform outward pressure of -10 MPa is analyzed for tangential edge stress.

Case Description

Steel material properties were used.

Geometry

• Thickness = 100 mm
• Equation of smaller curve: (Y/2)2 + Z2 = 1
• Equation of larger curve: (Y/3.25)2 + (Z/2.75)2 = 1

Study Type

• Static Stress

Mesh Parameters

• Mesh Type = Solid (Tetrahedral)
• Element Order = Parabolic
• Mesh Size = 150 mm, absolute
• Adaptive Mesh Refinement: None

Material Properties

• Modulus of elasticity = 210 X 103 MPa
• Poisson's ratio (v) = 0.3

Constraints

• X direction only fixed at points A, B, and C (vertices on back face of the solid model)
• Y direction only fixed at left (AB) face
• Z direction only fixed at bottom (CD) face

Load

• Pressure = -10 Mpa

Comparison of Results

Tangential Edge Stress (σzz) at D (MPa) - Maximum value along 100 mm long edge of the solid element corresponding to point D of the benchmark shell element model.

NAFEMS	Fusion	% Difference
92.7	92.83	0.14%

Reference

NAFEMS Publication Test No. LE1, The International Association for the Engineering Analysis Community, "NAFEMS Background To Benchmarks", G.A.O Davies, R.T. Fenner, R.W. Lewis, June, 1992.