Abstract
A simple method for computing the strain and the time dependent constants for non-linear viscoelastic materials is presented. The method is based on the finite time increment formulation of the convolution integral, and is applicable for materials which exhibit separable strain and time variables. The strain-dependent function can take any form including the hyperelastic potentials such as the Mooney-Rivlin strain energy function. The time-dependent function is based on the Prony series. The attraction of the method is that true material constants can be computed for any deformation history.
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Goh, S., Charalambides, M. & Williams, J. Determination of the Constitutive Constants of Non-Linear Viscoelastic Materials. Mechanics of Time-Dependent Materials 8, 255–268 (2004). https://doi.org/10.1023/B:MTDM.0000046750.65395.fe
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DOI: https://doi.org/10.1023/B:MTDM.0000046750.65395.fe