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Concise formulas for strain analysis of soft biological tissues

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Abstract

We describe a method for the approximate solution of nonlinear elasticity problems in the framework of finite deformation for the case of hyperelastic isotropic materials. This method enables one to write the resulting equations from the finite element method in analytical form, which reduces the amount of computations and simplifies the implementation. This approach is implemented for several types of hyperelastic materials used to describe the mechanical behavior of soft biological tissues.

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Authors and Affiliations

  1. Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow, 119333, Russia

    Yu. V. Vassilevski & A. V. Lozovskiy

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, 141701, Russia

    V. Yu. Salamatova

Authors
  1. Yu. V. Vassilevski
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  2. V. Yu. Salamatova
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  3. A. V. Lozovskiy
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Correspondence to Yu. V. Vassilevski.

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Original Russian Text © Yu.V. Vassilevski, V.Yu. Salamatova, A.V. Lozovskiy, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 7, pp. 935–942.

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Vassilevski, Y.V., Salamatova, V.Y. & Lozovskiy, A.V. Concise formulas for strain analysis of soft biological tissues. Diff Equat 53, 908–915 (2017). https://doi.org/10.1134/S0012266117070072

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  • DOI: https://doi.org/10.1134/S0012266117070072

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