Email this article Concise formulas for strain analysis of soft biological tissues
- Authors: Vassilevski Y.V.1, Salamatova V.Y.2, Lozovskiy A.V.1
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Affiliations:
- Institute of Numerical Mathematics of the Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 53, No 7 (2017)
- Pages: 908-915
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/154477
- DOI: https://doi.org/10.1134/S0012266117070072
- ID: 154477
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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.
About the authors
Yu. V. Vassilevski
Institute of Numerical Mathematics of the Russian Academy of Sciences
Author for correspondence.
Email: yuri.vassilevski@gmail.com
Russian Federation, Moscow, 119333
V. Yu. Salamatova
Moscow Institute of Physics and Technology (State University)
Email: yuri.vassilevski@gmail.com
Russian Federation, Dolgoprudnyi, 141701
A. V. Lozovskiy
Institute of Numerical Mathematics of the Russian Academy of Sciences
Email: yuri.vassilevski@gmail.com
Russian Federation, Moscow, 119333
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