# OOF: Finite Element Analysis of Microstructures

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##

isotropic

An isotropic element has the same stiffness independent of the loading direction or the plane on which the load is applied.

According to Figure 4.2, there are two
independent elastic constants. *OOF* uses the Young's modulus and
the Poisson's ratio for the two input variables. In the case of
plane stress, the stiffness matrix is:

For plane strain, the stiffness matrix is:

### Parameters

*young*- The Young's modulus [stress].
*poisson*- The Poisson's ratio [dimensionless].
*alpha*- The coefficient of thermal expansion [inverse temperature].

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