Finite element models of hyperelastic materials based on a new strain measure

DOI10.1134/S0012266118070145zbMath1460.74083OpenAlexW2885479579WikidataQ129377075 ScholiaQ129377075MaRDI QIDQ1798695

Yanyan Li

Publication date: 23 October 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266118070145

zbMATH Keywords

finite straindeformation gradientQR-decomposition

Mathematics Subject Classification ID

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

Related Items (3)

Reformulation of the virtual fields method using the variation of elastic energy for parameter identification of \(\mathbf{QR}\) decomposition-based hyperelastic models ⋮ Numerical simulation of the hyperelastic material using new strain measure ⋮ Finite element method for 3D deformation of hyperelastic materials

Cites Work

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• 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
• Concise formulas for strain analysis of soft biological tissues
• An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity

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