Mechanics of Materials
Thermal Stress Simulator
Calculate stress induced in a fully constrained material due to temperature changes. Animate temperature sweeps, visualize compressive and tensile states, and export thermal response data.
Model
Constrained bar
Fully fixed
Mesh
51 pts
Live sampled
Output
CSV
Export ready
Parameters
Material preset
Animated temperature sweep
Governing Equations
Thermal Stress
σ = E · α · ΔT
Thermal Strain
ε = α · ΔT
Microstrain
µε = ε × 10⁶
Current stress state: Compressive at σ = 120.0 MPa.
Positive ΔT induces compressive stress in a constrained bar; negative ΔT induces tensile stress.
Stress Vector Diagram
Thermal Stress
120.0MPa
Thermal Strain
600.0µε
Stress State
Compressive
ΔT Applied
50.0°C
Stress vs Temperature
Simulation Data
| ΔT (°C) | Stress (MPa) | Strain (µε) |
|---|---|---|
| -100 | -240.0 | -1200.0 |
| -84 | -201.6 | -1008.0 |
| -68 | -163.2 | -816.0 |
| -52 | -124.8 | -624.0 |
| -36 | -86.4 | -432.0 |
| -20 | -48.0 | -240.0 |
| -4 | -9.6 | -48.0 |
| 12 | 28.8 | 144.0 |
| 28 | 67.2 | 336.0 |
| 44 | 105.6 | 528.0 |
| 60 | 144.0 | 720.0 |
| 76 | 182.4 | 912.0 |
| 92 | 220.8 | 1104.0 |
| 108 | 259.2 | 1296.0 |
| 124 | 297.6 | 1488.0 |
| 140 | 336.0 | 1680.0 |
| 156 | 374.4 | 1872.0 |
| 172 | 412.8 | 2064.0 |
| 188 | 451.2 | 2256.0 |
| 204 | 489.6 | 2448.0 |
| 220 | 528.0 | 2640.0 |
| 236 | 566.4 | 2832.0 |
| 252 | 604.8 | 3024.0 |
| 268 | 643.2 | 3216.0 |
| 284 | 681.6 | 3408.0 |
| 300 | 720.0 | 3600.0 |