Finite element method for 3D deformation of hyperelastic materials

DOI10.1134/S0012266119070115zbMath1425.74488OpenAlexW2967707329WikidataQ127369802 ScholiaQ127369802MaRDI QIDQ2010397

Victoria Yu. Salamatova

Publication date: 27 November 2019

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119070115

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Kinematics of deformation (74A05)

Related Items (4)

How material and geometrical nonlinearity influences diastolic function of an idealized aortic valve ⋮ Method of hyperelastic nodal forces for deformation of nonlinear membranes ⋮ Numerical assessment of coaptation for auto-pericardium based aortic valve cusps ⋮ Hyperelastic membrane modelling based on data-driven constitutive relations

Cites Work

• Unnamed Item
• Unnamed Item
• Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials
• Finite element models of hyperelastic materials based on a new strain measure
• Concise formulas for strain analysis of soft biological tissues
• Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
• An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity

This page was built for publication: Finite element method for 3D deformation of hyperelastic materials