Quadratic-stretch elasticity
From MaRDI portal
Publication:5867023
DOI10.1177/10812865211022417OpenAlexW3159294131WikidataQ126734611 ScholiaQ126734611MaRDI QIDQ5867023
Publication date: 22 September 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.11714
Related Items
Dilation-invariant bending of elastic plates, and broken symmetry in shells, Energies for elastic plates and shells from quadratic-stretch elasticity, Further results on stretch formulations of simple shear and pure torsion for incompressible isotropic hyperelastic materials
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On natural strain measures of the non linear micropolar continuum
- Exact theory of stress and strain in rods and shells
- On the derivatives of the stretch and rotation with respect to the deformation gradient
- Elastic theory of unconstrained non-Euclidean plates
- Buckling equations for elastic shells with rotational degrees of freedom undergoing finite strain deformation
- Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom
- Continuum plasticity at finite strain for stress paths of arbitrary composition and direction
- Determination of \(C^{1/2}\), \(C^{-1/2}\) and more general isotropic tensor functions of C
- The square root of a three-dimensional positive tensor
- On the representation of finite rotation in nonlinear field theory of continuum mechanics
- Finite strain solutions in compressible isotropic elasticity
- A shell theory with independent rotations for relaxed Biot stress and right stretch strain
- On the uniqueness of the square-root of a symmetric, positive-definite tensor
- On the work theorems for finite and incremental elastic deformations with discontinuous fields: A unified treatment of different versions
- Formulations of finite elasticity with independent rotations
- Deformations of an elastic, internally constrained material. I: Homogeneous deformations
- An exact solution in a nonlinear theory of rods
- Determination of the rotation tensor in the polar decomposition
- A unifying treatise of variational principles for two types of micropolar continua
- A variational formulation for finite elasticity with independent rotation and Biot-axial fields
- Transversely isotropic biological, soft tissue must be modelled using both anisotropic invariants
- On drilling degrees of freedom in nonlinear elasticity and a hyperelastic material description in terms of the stretch tensor. II: Application to membranes
- On drilling degrees of freedom in nonlinear elasticity and a hyperelastic material description in terms of the stretch tensor. I: Theory
- On the explicit determination of the polar decomposition in \(n\)-dimensional vector spaces
- Explicit representation for the \(\mathrm{SO}(3)\) rotation tensor of deformable bodies
- On the Kirchhoff-Love hypothesis (Revised and Vindicated)
- \(\mathbf{U} = \mathbf{C}^{1/2}\) and its invariants in terms of \(\mathbf{C}\) and its invariants
- A continuum mechanics based derivation of Reissner's large-displacement finite-strain beam theory: the case of plane deformations of originally straight Bernoulli-Euler beams
- Some observations on variational elasticity and its application to plates and membranes
- A new variational principle for finite elastic displacements
- On one-dimensional finite-strain beam theory: the plane problem
- Alternate stress and conjugate strain measures, and mixed variational formulations involving rigid rotations, for computational analyses of finitely deformed solids, with application to plates and shells—I
- Gaussian curvature from flat elastica sheets
- Plane strain problems for a perfectly elastic material of harmonic type
- Determination of the stretch and rotation in the polar decomposition of the deformation gradient
- The Biot stresses in nonlinear elasticity and the associated generalized variational principles
- An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
- Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory
- On the Direct Determination of the Rotation Tensor from the Deformation Gradient
- Direct determination of the rotation in the polar decomposition of the deformation gradient by maximizing a Rayleigh quotient
- Tension-field theory
- On the origins of the idea of the multiplicative decomposition of the deformation gradient
- General solutions for plane extensible elasticae having nonlinear stress-strain laws
- Nonlinear problems of elasticity
- Behaviour of the extensible elastical solution
