Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity
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Publication:1811343
DOI10.1007/BF01182154zbMath1068.74008MaRDI QIDQ1811343
Publication date: 2002
Published in: Acta Mechanica (Search for Journal in Brave)
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Cites Work
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- Hypo-elasticity model based upon the logarithmic stress rate
- Logarithmic strain, logarithmic spin and logarithmic rate
- A consistent finite elastoplasticity theory combining additive and multiplicative decomposition of the stretching and the deformation gradient
- Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity
- Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate.
- The choice of objective rates in finite elastoplasticity: general results on the uniqueness of the logarithmic rate
- Aspects of Invariance in Solid Mechanics
- On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations
- On the Consistency of some Eulerian Strain Rates
- Constitutive inequalities for an isotropic elastic strain-energy function based on Hencky's logarithmic strain tensor
- Large elastic deformations of isotropic materials. I. Fundamental concepts
- Linear stress-strain relations in nonlinear elasticity
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