Concise formulas for strain analysis of soft biological tissues


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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.

Sobre autores

Yu. Vassilevski

Institute of Numerical Mathematics of the Russian Academy of Sciences

Autor responsável pela correspondência
Email: yuri.vassilevski@gmail.com
Rússia, Moscow, 119333

V. Salamatova

Moscow Institute of Physics and Technology (State University)

Email: yuri.vassilevski@gmail.com
Rússia, Dolgoprudnyi, 141701

A. Lozovskiy

Institute of Numerical Mathematics of the Russian Academy of Sciences

Email: yuri.vassilevski@gmail.com
Rússia, Moscow, 119333

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