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A Nonlinear Viscoelastic Model for the Relaxation Behavior of Tendon

Frances M. Davis · Raffaella De Vita
Virginia Tech


Abstract. A transversely isotropic nonlinear viscoelastic model for the stress relaxation of rat tail tendon fascicles is presented. The model is formulated within the nonlinear viscoelastic framework set forth by Pipkin and Rogers by considering recent theoretical developments by Rajagopal and Wineman for anisotropic materials. The current model represents a departure from current viscoelastic models widely used in biomechanics for soft biological tissues because it incorporates a non-separable relaxation which is a function of the strain invariants and time. It is validated using stress relaxation data collected at multiple strain levels from rat tail tendon fascicles and compared to the predictions of the QLV model.