Differential Equations

, Volume 55, Issue 7, pp 990–999 | Cite as

Finite Element Method for 3D Deformation of Hyperelastic Materials

  • V. Yu. SalamatovaEmail author
Numerical Methods


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.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Moscow Institute of Physics and TechnologyState UniversityDolgoprudnyi, Moscow oblastRussia
  2. 2.Sechenov First Moscow State Medical University (Sechenov University)MoscowRussia

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