Generic separating sets for three-dimensional elasticity tensors
From MaRDI portal
Publication:5160693
DOI10.1098/rspa.2019.0056zbMath1472.74008arXiv1812.11380OpenAlexW2907344721WikidataQ114089193 ScholiaQ114089193MaRDI QIDQ5160693
No author found.
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11380
anisotropycomputational mathematicspolynomial invariantsseparating setsrational invariantsmechanical engineering
Related Items
Universal displacements in linear elasticity, Construction of invariant relations of \(n\) symmetric second-order tensors, Computation of minimal covariants bases for 2D coupled constitutive laws, On the determination of plane and axial symmetries in linear elasticity and piezo-electricity, Recovering the normal form and symmetry class of an elasticity tensor, Irreducible matrix resolution for symmetry classes of elasticity tensors, Molien generating functions and integrity bases for the action of the \(\mathrm{SO}(3)\) and \(\mathrm{O}(3)\) groups on a set of vectors, Minimal functional bases for elasticity tensor symmetry classes, Symmetry classes in piezoelectricity from second-order symmetries, Effective rationality of second-order symmetric tensor spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computational invariant theory. With two appendices by Vladimir L. Popov and an addendum by Nobert A. Campo and Vladimir L. Popov
- Spherical harmonics and approximations on the unit sphere. An introduction
- Finite integrity bases for five or fewer symmetric 3 \(\times\) 3 matrices
- The geometry of spontaneous symmetry breaking
- Separating invariants and finite reflection groups
- Separating invariants
- Applications of tensor functions in solid mechanics
- Integrity basis for a second-order and a fourth-order tensor
- On the invariant field of binary octavics
- A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions II: Vector-valued isotropic functions, symmetric tensor-valued isotropic functions, and skew-symmetric tensor-valued isotropic functions
- On representations for isotropic functions. I: Isotropic functions of symmetric tensors and vectors. II: Isotropic functions of skew-symmetric tensors, symmetric tensors, and vectors
- Algebraic geometry IV: linear algebraic groups, invariant theory. Transl. from the Russian by G.A. Kandall
- On the polynomial invariants of the elasticity tensor
- Symmetry classes for elasticity tensors
- Isotropic invariants of traceless symmetric tensors of orders three and four
- Harmonic factorization and reconstruction of the elasticity tensor
- About Gordan's algorithm for binary forms
- Rational invariants of even ternary forms under the orthogonal group
- Material symmetry restrictions on constitutive equations
- On isotropic integrity bases
- A minimal integrity basis for the elasticity tensor
- Rational invariants of a group action. Construction and rewriting
- On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
- Coordinate-free characterization of the symmetry classes of elasticity tensors
- Harmonic Function Theory
- Isotropic invariants of a completely symmetric third-order tensor
- A General Framework for the Analysis of Sets of Constraints
- Irreducible invariants of fourth-order tensors
- HARMONIC DECOMPOSITION OF THE ANISOTROPIC ELASTICITY TENSOR
- PROPERTIES OF THE ANISOTROPIC ELASTICITY TENSOR
- On the Graded Ring of Invariants of Binary Octavics
- Algorithms in invariant theory