High Quality Content by WIKIPEDIA articles! The Yeoh hyperelastic material model is a phenomenological model for the deformation of nearly incompressible, nonlinear elastic materials such as rubber. The model is based on Ronald Rivlin's observation that the elastic properties of rubber may be described using a strain energy density function which is a power series in the strain invariants I1,I2,I3. The Yeoh model for incompressible rubber is a function only of I1. For compressible rubbers, an dependence on I3 is added on. Since a polynomial form of the strain energy density function is used but all the three invariants of the left Cauchy-Green deformation tensor are not, the Yeoh model is also called the reduced polynomial model. The original model proposed by Yeoh had a cubic form with only I1 dependence and is applicable to purely incompressible materials.

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