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I image you are talking about thermal expansion, and not for example elastic expansion or other forms of expansions.

If you rise the temperature, thermal expansion is represented by a coefficient for linear expansion and a coefficient for volume expansion (the two are naturally linked) that depends on temperature.

At room temperature, for aluminum and steel we have

linear (10^-6/°C) volume (10^-6/°C)

steel 11-13 33-39

aluminum 23 69

where the coefficients for steel depends on the exact composition.

Wood is not single material and different woods have very different characteristics. An increase of temperature causes in wood a much more complex phenomenon with respect to what happens in a metal crystal (it is sufficient to think that at high temperature wood can ignite).

Considering only small temperature changes around 20°C however we can define thermal dilatation coefficients.

However, since the dilatation is not equal in all the directions (since the material is strongly anisotropic) this coefficient depends on the direction where we measure the expansion (or compression).

For oak for example, in the direction along the grain of the wood, where dilatation is maximum, the linear expansion coefficient is 54 10^-6/°C.

At the end, for small temperature changes wood expands non uniformly, but generally more than metals.

Among metals aluminum expands more than almost all the steel types.

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