Reformulation of the virtual fields method using the variation of elastic energy for parameter identification of \(\mathbf{QR}\) decomposition-based hyperelastic models
DOI10.1007/s00707-023-03626-yzbMath1527.74006MaRDI QIDQ6051232
Jimin Xu, Zhujiang Wang, Mingliang Jiang, Arun R. Srinivasa, Xinwei Du
Publication date: 19 September 2023
Published in: Acta Mechanica (Search for Journal in Brave)
constitutive relationQR decompositionpolar decompositionvirtual displacementMooney-Rivlin modelinternal virtual workbiaxial tensile testCauchy stress reconstructionincompressible silicone
Nonlinear elasticity (74B20) Inverse problems in equilibrium solid mechanics (74G75) Theory of constitutive functions in solid mechanics (74A20)
Cites Work
- Application of the virtual fields method to mechanical characterization of elastomeric materials
- Kinematics and elasticity framework for materials with two fiber families
- Logarithmic strain and its material derivative for a QR decomposition of the deformation gradient
- On the use of convected coordinate systems in the mechanics of continuous media derived from a \(\mathbf{QR}\) factorization of \textsf{F}
- Development of a finite strain two-network model for shape memory polymers using QR decomposition
- The upper triangular decomposition of the deformation gradient: possible decompositions of the distortion tensor
- 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
- Laplace stretch: Eulerian and Lagrangian formulations
- A constitutive framework for finite viscoelasticity and damage based on the Gram-Schmidt decomposition
- Numerical simulation of the hyperelastic material using new strain measure
- A decomposition of Laplace stretch with applications in inelasticity
- Fitting hyperelastic models to experimental data
- Constitutive Equations for Hyperelastic Materials Based on the Upper Triangular Decomposition of the Deformation Gradient
- Large elastic deformations of isotropic materials VII. Experiments on the deformation of rubber
- Physically based strain invariant set for materials exhibiting transversely isotropic behavior
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