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NAFEMS LE7

Static (shells)PASS · 3.4%

Axisymmetric thin-walled cylinder/sphere pressure vessel — axial stress check on the outer surface.

Tolerance:
5%

Problem statement

Geometry
Axisymmetric thin-walled pressure-vessel section (cylinder joined to a spherical head).
Material
E = 210 GPa, ν = 0.3.
Boundary conditions
Ur = 0 at point A; Uz = 0 at point F; internal pressure of 1 MPa.
Measured quantity
Axial stress on the outer surface at point D (R = 1.0125, Z = 1.4034) — reference value 25.86 MPa.

Results comparison

Reference value25.86 МПа (TNSB-1990)
Our result26.11 МПа (мелкая), 24.98 МПа (базовая)
Deviation3.4%
Tolerance5%
StatusPASS · 3.4%
Element familySolid element
Mesh detailshex8-клин 2° тела вращения (644 → 1134 узлов, 6 → 8 эл. по толщине), симметрия на срезах; сфера отсечена при φ=75° и заменена мембранным натяжением pR/2; σzz(D): 24.98 → 26.11 МПа (мембранная часть pR/2t = 20 МПа + краевой изгиб)

Updated: 2026-08-10 · WebCAE solver

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