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This material describes an incompressible Arruda-Boyce model . The following material parameters are required:
|<N>||number of links in chain||[ ]|
The uncoupled strain energy function for the Arruda-Boyce material is given by: where, and the first invariant of the right Cauchy-Green tensor. The volumetric strain function is defined as follows, This material model was proposed by Arruda and Boyce  and is based on an eight-chain representation of the macromolecular network structure of polymer chains. The strain energy form represents a truncated Taylor series of the inverse Langevin function, which arises in the statistical treatment of non-Gaussian chains. The parameter is related to the locking stretch , the stretch at which the chains reach their full extended state, by .
<material id="1" type="Arruda-Boyce"> <mu>0.09</mu> <N>26.5</N> <k>100</k> </material>