Email this article Finite Element Method for 3D Deformation of Hyperelastic Materials
- Authors: Salamatova V.Y.1,2
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Affiliations:
- Moscow Institute of Physics and Technology
- Sechenov First Moscow State Medical University (Sechenov University)
- Issue: Vol 55, No 7 (2019)
- Pages: 990-999
- Section: Numerical Methods
- URL: https://journal-vniispk.ru/0012-2661/article/view/155100
- DOI: https://doi.org/10.1134/S0012266119070115
- ID: 155100
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Abstract
We describe a finite element method for solving 3D problems of nonlinear elasticity theory in the framework of finite strains for a hyperelastic material. Constitutive equations written with the use of the polar and upper triangular (QR) decompositions of the deformation gradient are considered. Our method permits developing an efficient, easy-to-implement technique for the numerical analysis of the stress—strain state of any hyperelastic material.
About the authors
V. Yu. Salamatova
Moscow Institute of Physics and Technology; Sechenov First Moscow State Medical University (Sechenov University)
Author for correspondence.
Email: salamatova@inbox.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 127994
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