Thermal Expansion - Superficial (Area)

Superficial (area) temperature expansion calculator. Calculate the change in area of a material when temperature changes using the coefficient of superficial expansion.

Calculator

Inputs

Initial Area (A₀) (m²)

Superficial Expansion Coefficient (γ) (m²/m²K)

Initial Temperature (t₀) (°C)

Final Temperature (t₁) (°C)

Results

Change in Area (dA)-- m²

Final Area-- m²

Temperature Change (ΔT)-- °C

Material	Linear Coefficient (α)	Superficial Coefficient (γ ≈ 2α)
Aluminum	0.000023 m/m°C	0.000046 m²/m²K
Steel	0.000016 m/m°C	0.000032 m²/m²K
Copper	0.000017 m/m°C	0.000034 m²/m²K

Formula

dA = A₀ × γ × (t₁ - t₀)

Where:

dA = change in area (m²)
A₀ = initial area (m²)
γ = superficial expansion coefficient (m²/m²K)
t₀ = initial temperature (°C)
t₁ = final temperature (°C)

Approximation

The superficial temperature coefficient can be approximated as: γ ≈ 2α

Where α is the linear temperature expansion coefficient (m/m K or m/m°C)