Thermomechanics — Parallel Bars

Coupled temperature, deformation, plasticity, and dissipation verification. Checks: differential expansion force sharing.

Tolerance:

5%

Problem statement

Geometry

Two equal-area parallel bars tied between rigid end plates: A1=A2=100 mm2, E1=200000 MPa, E2=70000 MPa, alpha1=12e-6, alpha2=23e-6 1/K, DeltaT=100 K; assembly free of external axial load.

Material

Constitutive or analytical definition: Compatibility gives common strain; sum(Ei Ai (eps-alpha_i DeltaT))=0.

Boundary conditions

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

Measured quantity

Common strain=0.00148518518519; stresses sigma1=57.037037037 MPa and sigma2=-57.037037037 MPa; net force=0.

WebCAE Terminal

units mm
frame up=z
material E=200000 nu=0.3 alpha=1.2e-5
material E=70000 nu=0.33 alpha=2.3e-5
frame node at=0,0,0
frame node at=1000,0,0
frame node at=0,10,0
frame node at=1000,10,0
frame member 1 2 section=rect w=10 h=10
frame member 3 4 section=rect w=10 h=10
frame support node=1 dofs="all"
frame support node=3 dofs="all"
frame constraint link="rigid_x" nodes="2,4"
thermal member 1 dt=100
thermal member 2 dt=100
frame solve thermal

Results comparison

Updated: 2026-10-19 · WebCAE solver