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March 31, 2026Scientific Reports0 citationsOpen Access

Usage of the adaptive quasi-linear viscoelastic model to predict load-unload, stress-relaxation, and sine load of porcine liver

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MFMartin FrankOAOthniel James AryeeteySESarah-Jane Estermann

Key Points

  • This research aims to assess the predictive capability of the adaptive quasi-linear viscoelastic model under varying strain rates for porcine liver.
  • Utilized parameters from previous tensile tests on porcine liver.
  • Conducted fast load-hold, load-unload, and sine load tests.
  • Employed a least-squares algorithm for model parameter re-calibration.
  • Initial predictions using the AQLV model were inaccurate for all loading cases.
  • Re-calibrated parameters improved predictions for stress behavior in all load cases.
  • Correct predictions for storage modulus, but discrepancies in loss tangent compared to experimental values.

Abstract

High impact load and corresponding large strains of soft collagenous tissues, such as liver, require a proper characterization of its viscoelastic behavior. Hereby, the adaptive quasi linear viscoelastic (AQLV) model is a reasonable choice. However, as the model is calibrated at a slow strain rate it remains unclear if obtained parameters are valid for different, large strain rates. In the current study, AQLV model parameters were used from previous tensile tests on porcine liver to predict the stresses of fast load-hold, load-unload and sine load tests performed in a previous study. None of the load cases could be predicted properly. However, re-calibration of the model parameters with a least-squares algorithm yielded reasonable results for all load cases. In an additional evaluation, re-calibrated AQLV model parameters of the fast-ramp hold experiments were used to predict the stress curves for the sine loads, which were performed at a similar mean strain rate. Here, storage modulus was predicted properly, whereas loss tangent was significantly different from reference experimental values. Taken together, AQLV model parameters are not universal material constants, but are highly dependent on strain rate.

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Cite This Study

Frank et al. (2026) studied this question.

synapsesocial.com/papers/69cb6556e6a8c024954b982bhttps://doi.org/10.1038/s41598-026-45415-2
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