Finite Element Method for 3D Deformation of Hyperelastic Materials


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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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V. Salamatova

Moscow Institute of Physics and Technology; Sechenov First Moscow State Medical University (Sechenov University)

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Email: salamatova@inbox.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 127994

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