Determining an elastic strain‐energy function from torsion and simple extension

摘要

The elastic properties of rubbery materials can often be represented by a strain‐energy function expressed as the sum over the three principal extension ratios of a function of a single extension ratio, the Valanis‐Landel form. In that case, the strain‐energy function can be completely determined from uniaxial extension data combined with data on the torque of a cylinder in torsion. The method is an improvement over other methods for determining the strain‐energy function because the necessary experiments are particularly convenient.