Nonlinear solver — Step Size Independence

Nonlinear iteration, tangent, path-following, and state-management verification. Checks: history integration and converged-path independence.

Tolerance:

5%

Problem statement

Geometry

Run smooth path tests with 1, 2, 5, 10, 20, 50, and 100 increments using tight Newton tolerance.

Material

Constitutive or analytical definition: Rate-independent exact solution depends on the path, not its time discretization, when event transitions are resolved consistently.

Boundary conditions

Required solver capability: incremental_nonlinear_driver. Use the loading/path control stated in the setup and preserve the complete response history.

Measured quantity

Hyperelastic final state is increment-independent to roundoff; linear-hardening J2 converges to the same exact piecewise path; iteration counts may change but accepted states may not drift.

WebCAE Terminal

units mm
frame up=z
material E=210000 nu=0.3
frame node at=0,0,0
frame node at=250,0,0
frame node at=500,0,0
frame node at=750,0,0
frame node at=1000,0,0
frame member 1 2 section=rect w=20 h=10
frame member 2 3 section=rect w=20 h=10
frame member 3 4 section=rect w=20 h=10
frame member 4 5 section=rect w=20 h=10
frame support node=1 dofs="all"
frame load node=5 force=0,350,0
frame solve static nlgeom=on steps=10 tol=1e-8

Results comparison

Updated: 2026-10-19 · WebCAE solver