Thick-walled sphere under pressure
StaticIn development3D axisymmetric stress field, closed-form Lamé solution
- Source:
- Lamé / Timoshenko, Theory of Elasticity
- Tolerance:
- 1%
Problem statement
- Geometry
- Thick-walled hollow sphere, inner radius a and outer radius b.
- Material
- Linear-elastic isotropic material, E and ν.
- Boundary conditions
- Uniform internal pressure p (outer surface traction-free).
- Measured quantity
- Radial and tangential stress σr(r), σθ(r); peak σθ = (p/2)(2a³+b³)/(b³−a³) at the inner wall.
Script
Lands with the scripting engine (see Documentation) — this setup will be runnable from commands, no manual rebuild needed.
Results comparison
The solver core is still in development — there's no result yet. It'll appear here right after the first run, no retouching.
Updated: not yet run