Thermal Expansion

ΔL = α·L·ΔT. If the part is fully constrained it can't grow, so the strain turns into stress: σ = E·α·ΔT. α values (µm/m·°C) come from the material reference.

Calculator

New length
Constrained stress
Differential vs 2nd

Area & volume growth

Area expands at ≈ 2α·ΔT, volume at ≈ 3α·ΔT (using the same α and ΔT as above).

Area growth ΔA
Volume growth ΔV

Linear (small-ΔT) model; α varies with temperature. A helper, not a substitute for engineering judgment.