Predicting the nonlinear response of biological tissues is a challenging issue due to strain rate-(short-term) and time-dependent (long-term) nature of its response. While many of the tissue properties have already been extensively examined, some are left unnoticed, such as dependence of the stress-relaxation behavior on the strain levels. In this paper, a hyperviscoelastic constitutive model is derived within the integral form presented by Pipkin and Rogers model to remove this limitation. In the suggested model, the hyperelastic and short-term viscous parts are represented by a suitable strain energy function. The long-term viscous function includes the deformation history, which is expressed through a tensorial-relaxation function and has not been considered elsewhere. The constitutive model involves a number of material parameters. The values of those are identi ed from experimental data for Adiprene-L100 as a tissue-equivalent material. Parameters appearing in constitutive law are estimated by tting the model with the experimental data. It is assumed that the tissue phantom is slightly compressible, isotropic, and homogenous. The obtained results indicate that the presented model can describe the nonlinearity, strain rate-(short-term) and time-dependent (long-term) e ects of materials. The validation of the model is investigated, and very good agreement between the proposed model and the experimental data is shown.
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