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Abstract <p>The Mathcad 15.0 computer algebra system is used to predict the deformation behavior of hyperelastic materials. The results we obtained were compared with the predictions of other models. The models are ranked against the rating given in papers dealing with the finite deformation mechanics. The list comprises seven models: neohookean, Mooney–Rivlin (2-parameter), Mooney–Rivlin (3-parameter), Ogden, polynomial, Veronda–Westmann, and the Yeoh model. The prognostic accuracy of the results of model calculations relative to the experimental data is estimated using mathematical statistics indicators. An example of calculating the parameters of hyperelastic deformation model is given for a biomaterial sample (a piece of skin taken from the human back).</p>

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Analyzing Parameters in Deformation Models of Hyperelastic Biotissues

  • 期刊论文

  • 发表日期：

    2025年9月24日

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  • S. A. Muslov,
  • A. I. Lotkov,
  • A. N. Nikishenko

摘要

Abstract

The Mathcad 15.0 computer algebra system is used to predict the deformation behavior of hyperelastic materials. The results we obtained were compared with the predictions of other models. The models are ranked against the rating given in papers dealing with the finite deformation mechanics. The list comprises seven models: neohookean, Mooney–Rivlin (2-parameter), Mooney–Rivlin (3-parameter), Ogden, polynomial, Veronda–Westmann, and the Yeoh model. The prognostic accuracy of the results of model calculations relative to the experimental data is estimated using mathematical statistics indicators. An example of calculating the parameters of hyperelastic deformation model is given for a biomaterial sample (a piece of skin taken from the human back).