The linear elasticity tensor of incompressible materials
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Publication:3453619
DOI10.1177/1081286514550576zbMath1327.74024OpenAlexW2140405115MaRDI QIDQ3453619
Alfio Grillo, Shoji Imatani, Salvatore Federico
Publication date: 27 November 2015
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286514550576
elasticity tensorelasticityanisotropyincompressibilitymaterial symmetryincompressiblecovariant representationnearly incompressiblequasi-incompressible
Vector and tensor algebra, theory of invariants (15A72) Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10)
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Cites Work
- Symmetry classes for even-order tensors
- Vibration analysis of non-linear 6-parameter prestressed shells
- An energetic approach to the analysis of anisotropic hyperelastic materials
- Modeling the onset of shear boundary layers in fibrous composite reinforcements by second-gradient theory
- Local symmetry group in the general theory of elastic shells
- Convex Fung-type potentials for biological tissues
- Nearly isochoric elastic deformations: Application to rubberlike solids
- Elastoplastic constitutive relations for fiber-reinforced solids
- The incompressible limit in linear anisotropic elasticity, with applications to surface waves and elastostatics
- Conewise linear elastic materials
- Elastic constants and their admissible values for incompressible and slightly compressible anisotropic materials
- How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
- Matrix representations for 3D strain-gradient elasticity
- Green-Naghdi rate of the Kirchhoff stress and deformation rate: the elasticity tensor
- On anisotropic elasticity and questions concerning its finite element implementation
- A transversely isotropic composite with a statistical distribution of spheroidal inclusions: a geometrical approach to overall properties
- Symmetry classes for odd-order tensors
- Some remarks on metric and deformation
- The Importance of the Compatibility of Nonlinear Constitutive Theories With Their Linear Counterparts
- Remodelling in statistically oriented fibre-reinforced materials and biological tissues
- Elastic Behavior of Composite Materials: Theoretical Foundations
- Fourth-rank tensors of the thirty-two crystal classes: multiplication tables
- Review Paper: Continuum biomechanics of soft biological tissues
- Volumetric-Distortional Decomposition of Deformation and Elasticity Tensor
- A class of mixed assumed strain methods and the method of incompatible modes
- The Geometrical Language of Continuum Mechanics
- Nonlinear Continuum Mechanics for Finite Element Analysis
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